# Stats Homework

Show product on topics 8-1,8-3,8-4,8-6, everything else product does not insufficiency to be shown.

8-1)In the late the mediocre season that it takes for a dame to exhaustive the San Francisco Marathon was 4.62 hours. This year the mediocre season for the 2001 women completeing the SF Marathon the mediocre season was 4.29 hours delay a model dissolution of 1.11 hours. Can it be inferd that this years mediocre season for women to complete the SF Marathon is statistically expressively opposed from the late years' mediocre season? (Use α = 5%) Chosen the best chosen. Show your product for bountiful security.

a)      The vindication of μ ≠ 4.62 hours delay p-appreciate = 2.44 and a 95% Conf. Int (4.24,4.34) resources livelihood Ho and refuse the vindication that the seasons are expressively opposed from the late seasons.

b)      The Ho of μ = 4.62 hours delay p-appreciate = 0 and a 95% Conf. Int (4.24,4.34) resources livelihood the Ho and refuse the vindication that the seasons are expressively opposed from the late seasons.

c)      The Ho of μ = 4.62 hours delay p-appreciate = 0 and a 95% Conf. Int (4.24,4.34) resources livelihood the Ho and refuse the vindication that the seasons are expressively opposed from the late seasons.

d)     The vindication of μ = 4.62 hours delay p-appreciate = 0 and a 95% Conf. Int (4.24,4.34) resources livelihood the vindication that the seasons are expressively opposed from the late seasons.

8-2) The Kaiser Medical Foundation reports that the consume to reinparticularize a football player forthcoming a culmination deterioration is at lowest \$28,500. To experience this vindication a learninger surveys the medical billing chronicclose of 15 football players who were treated for culmination injuries. The mediocre consume for rehabilitation in this purposelessly separated scantling is \$30,885  delay a model dissolution of \$1,123. Is the developed consume of rehabilitation \$28,500 as Kaiser vindications? First, particularize the inoperative and exquisite hypotheses for this supposition experience.

a)       Ho: μ ≤ \$28,500 and H1: μ > \$28,500

b)       Ho: μ ≥ \$28,500 and H1: μ < \$28,500

c)       Ho: μ = \$28,500 and H1: μ ≠ \$28,500

d)      Ho: μ ≠ \$28,500 and H1: μ = \$28,500

What is the emend experience to use in experienceing the overhead supposition experience?

a)      Z – Test

b)      T – Test

c)      2 Samp Z Test

d)     2 Samp T Test

8-3) A sugar corporation packages sugar in 5 tritutrounce bags. An FDA livelihood overseer suspects that the mediocre total of sugar in the 5 tritutrounce bags is developedly at most 5 triturates on mediocre. A sickly purposeclose scantling of 75 of the 5 tritutrounce bags results in a scantling avarage of 4.95 lbs. delay a model dissolution of 0.5 lbs. The overseer ambitiones to be 98% assured in his ultimate voluptuousness about this corporation's packaging practices. Chosen the chosen adown that best sumarizes the FDA overseers findings.

(Use the Show Product indication to admit bountiful security.)

a)      Ho: μ ≤ 5 and H1: μ > 5 ; p-appreciate = .807, hence refuse the vindication delay 4.72 ≤ μ ≤ 4.98

b)      Ho: μ ≥ 5 and H1: μ < 5 ; p-appreciate = .807, hence livelihood Ho and livelihood the vindication delay 4.82 ≤ μ ≤ 5.08

c)      Ho: μ < 5 and H1: μ ≥ 5 ; p-appreciate = .807, hence refuse Ho and livelihood the vindication delay 4.72 ≤ μ ≤ 4.98

d)     Ho: μ ≤ 5 and H1: μ > 5 ; p-appreciate = .807, hence livelihood Ho and livelihood the vindication delay 4.82 ≤ μ ≤ 5.08

8-4) This year a examine of tyro purchasing morality reputed that 75% of graduating nursery superiors gain accept tyro commit debit of further than \$25,000. A dean of Tyro Services feels for her university and that the percentage is at lowest 75%. She surveys 200 graduating superiors. The dean finds that 125 superiors in this purposeclose scantling gain accept tyro advance debit of further than \$25,000. Particularize the inoperative and exquisite hypotheses for this supposition experience.

a)      Ho: μ < \$25,000 and  H1: μ ≥ \$25,000

b)      Ho: p ≤ .75 and H1: p > .75

c)      Ho: p > .75 and H1: p ≤ .75

d)     Ho: p ≥ .75 and H1: p < .75

For the supposition experience overhead, chosen the best particularizement. α = 1%

(Show Product to admit bountiful security)

a)      p-appreciate = 2.23 > α, hence livelihood Ho and livelihood the vindication.

b)      p-appreciate = 0 ≤ α, hence refuse Ho and refuse the vindication.

c)      p-appreciate = 1 ≥ α, hence livelihood Ho and livelihood the vindication.

d)     p-appreciate = 0 ≤ α, hence livelihood Ho and livelihood the vindication.

8-5)The chosens adown all nartrounce to the forthcoming supposition topic.

A learning sports remedy physician vindications that athletes who suite using "cardio productouts" on a recurrent account accept a consummation oxygen uptake resembling to the mediocre of all adults. To experience his vindication he purposelessly scantlings 15 "cardio productout" athletes and finds that the scantling mediocre is 42.3 ml/kg delay a scantling model dissolution of 6 ml/kg. If the mediocre consummation oxygen uptake is 39 ml/kg for all adults, is there abundance token to livelihood this vindication at α = .02?

Select the best chosen for the inoperative and exquisite hypotheses.

a)      Ho: μ > 42.3  and H1: μ ≤ 42.3

b)      Ho: μ = 42.3  and H1: μ ≠ 42.3

c)      Ho: μ ≤ 39  and H1: μ > 39

d)     Ho: μ = 39  and H1: μ ≠ 39

For the overhead supposition experience, chosen the best chosen adown. α = 2%

a)      p appreciate > α, hence Refuse the vindication.

b)      p appreciate > α, hence Livelihood H0 and Refuse the vindication.

c)      p appreciate > α, hence Refuse Ho and Refuse the vindication.

d)     p appreciate > α, hence Livelihood Ho and Livelihood the vindication.

8-6)An direction learninger honors that the dropout trounce for eminent initiate superiors in California is 12%. To experience this conviction the learninger looks at a sickly purposeclose scantling of 500 superior eminent initiate superiors and finds that 72 superiors in this scantling dropped out. For this supposition experience, sellect the emend inoperative and exquisite hypotheses.

a)      Ho: μ ≠ 12% and H1: μ = 12%

b)      Ho: p = .12 and H1 p ≠ .12

c)      Ho: p > .12 and H1 p ≤ .12

d)     Ho: p ≤ .12 and H1 p > .12

For the supposition experience overhead, which quittance particularizement is emend fot a smooth of purport of 5%?

(Use the "Show Work" indication to admit bountiful security.)

a)      p - appreciate ≤ α, hence refuse the vindication.

b)      p - appreciate ≤ α, hence refuse the Ho and livelihood the vindication.

c)      p - appreciate > α, hence livelihood the Ho and refuse the vindication.

d)     p - appreciate > α, hence livelihood the Ho and livelihood the vindication.

8-8) A learninger vindications that the mediocre annual stipend of part-season homogeneity nursery instructors is  at most \$45,000. To experience this vindication, a scantling of 25 part-season homogeneity nursery instructors is separated at purposeless. The scantling mediocre is \$42,500 delay a scantling model dissolution of \$3,100. Particularize the inoperative and exquisite hypotheses for used to experience this vindication.

a)      Ho: μ ≤ \$45,000 and H1: μ > \$45,000

b)      Ho: μ < \$45,000 and H1: μ ≥ \$45,000

c)      Ho: μ ≥ \$45,000 and H1: μ < \$45,000

d)     Ho: μ > \$45,000 and H1: μ ≤ \$45,000

For the supposition topic overhead, which supposition experience should be used.

a)      Z – Test

b)      t – Test

c)      1 Prop Z Test

d)     2 Samp t Test

8-10)A learninger ambitiones to experience the vindication that the mediocre age of Los Angeles County Lifegaurds is  at lowest 28 years old. To experience the vindication the learninger uses a scantling of 50 purposelessly separated lifeguards from Los Angeles County and finds that the scantling mediocre and model dissolution are 29 years and 2.5 years respectively. What is the p-appreciate for this supposition experience to the unswerving thousandth decimal fix?

8-11)Find the p-appreciate in a two inferiority T-Test when the experience statistic (t appreciate) is -1.523 and the scantling bulk is 13.

_______ < p-appreciate < ______

(Your confutation should be two "decimals" in ascending classify seperated by a comma)

8-12)Find the dubious appreciate for a left-tailed supposition experience in which α = .02

Assume that this is a natural division.

Round your confutation to the thousandth decimal fix.

9-2) Health learningers surveyed herd food in a enlightened city and herd food in the purlieus. Of the 250 city herd surveyed, 187 had gotten flu shots. Of the 180 herd food in the purlieus, 98 had gotten flu shots. What is the 90% Trust Season Think of the dissent in the relation (or percentage) of herd receiving flu insertion in the city and in the precinct? Give your confutation as to foul-mouthed fix decimals seperated by a comma.

9-7)Two surveys were effected touching security card debit. Five years ago the mediocre security card debit was \$8318. The mediocre security card debit for a novel year was \$9205. Assume scantling bulks of 35 were used and the model dissolutions of twain scantlings were \$1928. Is there abundance token to honor that the mediocre security card debit has newfangled in the late 5 years? Use a  0.05. Identify the inoperative and exquisite hypotheses, the p-appreciate and the emend firmness touching the vindication.

a)      Ho: μ1 = μ2 and H1: μ1 ≠ μ2 delay p-appreciate = .054 livelihood the vindication that security card debit has newfangled.

b)      Ho: μ1 ≠ μ2 and H1: μ1 = μ2 delay p-appreciate = .054 livelihood the vindication that security card debit has newfangled.

c)      Ho: μ1 < μ2 and H1: μ1 ≥ μ2 delay p-appreciate = .054 livelihood the vindication that security card debit has increased.

d)     Ho: μ1 = μ2 and H1: μ1 ≠ μ2 delay p-appreciate = .054 refuse the vindication that security card debit has newfangled.

Construct the 95% Trust Season think for the dissent in the total of security card debit domiciled on the two surveys overhead.

a)      1790 ≤ μ1 - μ2 ≤ -16.308

b)      -1790 ≤ μ1 - μ2 ≤ 16.308

c)      -1790 ≤ μ1 - μ2 ≤ -16.308

d)     1790 ≤ μ1 - μ2 ≤ 16.308

9-8)In a scantling of 80 Americans, 65% ambitioned that they were fruitful. In a scantling of 90 Europeans, 70% ambitioned that they were fruitful. Find the 99% trust season for the dissent of the two relations.

a)      .2353 ≤ p1 - p2 ≤ .1353

b)      -.2353 ≤ p1 - p2 ≤ -.1353

c)      -.2353 ≤ p1 - p2 ≤ .1353

d)     .2353 ≤ p1 - p2 ≤ -.1353

At a  0.01, is there a dissent in the relations?

a)      There is no statistical dissent in the percentage of Americans and Europeans who ambition that they were fruitful at α = .01.

b)      The percentage of Americans who ambition that they were fruitful is statistically superior than the percentage of Europeans who ambition that they were fruitful at α = .01.

c)      The percentage of Americans who ambition that they were fruitful is statistically close than the percentage of Europeans who ambition that they were fruitful at α = .01.

9-9) In San Jose a scantling of 73 mail carriers showed that 30 had been bitten by an carnal during one week. In San Francisco in a scantling of 80 mail carriers, 56 had admitd carnal gaiety. Is there a expressive dissent in the relations? Use a  0.05. Find the 95% trust season for the dissent of the two relations.

a)      .4401 ≤ p1 - p2 ≤ .1380

b)      .4401 ≤ μ1 - μ2 ≤ .1380

c)      -.4401 ≤ p1 - p2 ≤ .1380

d)     -.4401 ≤ p1 - p2 ≤ -.1380

Sellect the emend particularizement adown domiciled on the basis ardent in this height.

a)      The trounce of mail carriers entity bitten in San Jose and San Francisco are statistically resembling at α = 5%

b)      The trounce of mail carriers entity bitten in San Jose is statistically close than the trounce San Francisco at α = 5%

c)      The trounce of mail carriers entity bitten in San Jose is statistically superior than the trounce San Francisco at α = 5%

10-1) The basis adown personate the compute of years that an alumnus has been out initiate and the annually subscription that alumnus to his/her nursery. Use the basis to enumerate the equation of the retreat outoutthread and then prophesy the total of specie an alumnus who has been out of nursery for 9 years gain give to his/her nursery. (Round to the unswerving dollar and understand the \$ in your confutation.)

# of years (x):         5      8      10     14    18     22

subscription (\$):    170   190   195   205  210   225

10-2a) Find the coefficient of voluptuousness ardent that the apposition coefficient = .69

(Give your confutation as a decimal rounded to the ten thousandth decimal fix.)

10-2b) Find the percent of the basis that can be explained by the retreat outoutthread and retreat equation ardent that the apposition coefficient = .69

(Give your confutation as a percent rounded to the hundredth decimal fix. Understand the % type)

10-5) Compute the appreciate of the apposition coefficient for the basis ardent adown in a examine of age and dignity preasure. (Round your confutation to three decimal fixs.)

Subject           Age           Dignity Preasure

A                  34                   128

B                  35                   125

C                  41                   130

D                  53                   135

E                  58                   140

F                  67                   145

11-4) For the late year, national percentages of herd's voluptuousness in car tinge are as follows:

White 35%, Silver 28%, Blue 24%, Red 10%, Other 3%

Of the 9,000 herd who bought cars in San Jose novelly, the forthcoming is the chronicles of  tinges:

White 3,145; Silver 2510; Blue 2,165; Red 905; Other 275

Use the "Goodness of Fit Test" and the Chi Square division to confutation the forthcoming.

What is the appreciate of the Chi Square Experience Statistics for this height to the unswerving third decimal fix?

M-2) A sociologist wanted to enumerate whether there was a dissent in the total of season outcome antiquated 57 late guarding television each day. Check the forthcoming basis for token that the compute of minutes late guarding television is resemblingly as sorted throughout the week. Then bring-about the best chosen from those ardent adown.

Sunday    Monday    Tuesday    Wednesday   Thursday   Friday    Saturday

200         112             123            130               160           225        247

What is the inoperative supposition?

a)      Children waste opposed totals of season guarding TV each day.

b)      Children waste close season guarding TV on initiate nights.

c)      Children waste the similar total of season guarding TV each day.

d)     Children guard further TV on weekends.

For the supposition experience overhead, bring-about the best chosen domiciled on the Chi Square division and the Goodness of Fit experience.

a)      The Chi Sq statistic = 100.1, p-appreciate = 2.39 hence livelihood Ho and infer that outcome guard the similar total of TV each day of the week.

b)      The Chi Sq statistic = 100.1, p-appreciate = 2.39 hence livelihood Ho and infer that outcome do not guard the similar total of TV each day of the week.

c)      The Chi Sq statistic = 100.1, p-appreciate = 0, hence livelihood Ho and infer that outcome do not guard the similar total of TV each day of the week.

d)     The Chi Sq statistic = 100.1, p-appreciate = 0, hence refuse Ho and infer that outcome do not guard the similar total of TV each day of the week.

M-3) Compute the appreciate of the spring of the retreat outoutthread for the basis ardent adown in a examine of age and dignity preasure. (Round your confutation to three decimal fixs.)

Subject           Age           Dignity Preasure

A                  34                   115

B                  35                   120

C                  41                   122

D                  53                   130

E                  58                   140

F                  67                   145

M-4) The basis adown personate the compute of years that an alumnus has been out initiate and the annually subscription that alumnus to his/her nursery. Use the basis to enumerate the equation of the retreat outoutthread and then prophesy the total of specie an alumnus who has been out of nursery for 7.5 years gain give to his/her nursery. (Round to the unswerving dollar and understand the \$ in your confutation.)

# of years (x):         5      8      10     14    18     22

subscription (\$):    170   190   195   205  210   225

M-5a) Find the coefficient of voluptuousness ardent that the apposition coefficient = .58

(Give your confutation as a decimal rounded to the ten thousandth decimal fix.)

M-5b) Find the percent of the basis that can be explained by the retreat outoutthread and retreat equation ardent that the apposition coefficient = .58

(Give your confutation as a percent rounded to the hundredth decimal fix. Understand the % type)

M-6) Compute the appreciate of the apposition coefficient for the basis ardent adown in a examine of age and dignity preasure. (Round your confutation to three decimal fixs.)

Subject           Age           Dignity Preasure

A                  44                   128

B                  45                   125

C                  51                   130

D                  63                   135

E                  68                   140

F                  77                   145

M-11) In a scantling of 80 Americans, 65% ambitioned that they were fruitful. In a scantling of 90 Europeans, 60% ambitioned that they were fruitful. Find the 99% trust season for the dissent of the two relations.

a)      .1412 ≤ p1 - p2 ≤ .2412

b)      -.1412 ≤ p1 - p2 ≤ -.2412

c)      -.1412 ≤ p1 - p2 ≤ .2412

d)     .1412 ≤ p1 - p2 ≤ -.2412

At a  0.01, is there a dissent in the relations?

a)      There is no statistical dissent in the percentage of Americans and Europeans who ambition that they were fruitful at α = .01.

b)      The percentage of Americans who ambition that they were fruitful is statistically superior than the percentage of Europeans who ambition that they were fruitful at α = .01.

c)      The percentage of Americans who ambition that they were fruitful is statistically close than the percentage of Europeans who ambition that they were fruitful at α = .01.

M-12) Health learningers surveyed herd food in a enlightened city and herd food in the purlieus. Of the 250 city herd surveyed, 187 had gotten flu shots. Of the 180 herd food in the purlieus, 98 had gotten flu shots. What is the 90% Trust Season Think of the dissent in the relation (or percentage) of herd receiving flu insertion in the city and in the precinct? Give your confutation as to foul-mouthed fix decimals seperated by a comma.

M-16) Find the dubious appreciate for α = .05 delay the n = 25 in a two inferiorityed supposition experience.

(Hint: There are two confutations. Give the confutations in ascending classify seperated by a comma)

M-17a) An direction learninger vindications the the mediocre daily stipend for exchange teachers in Santa Clara County is NOT \$72 per day. A purposeclose scantling of ten Santa Clara County initiate districts is sellected and the daily salaries (in dollars) are listed adown. Calculate the p-appreciate for this supposition experience.(Express your confutation as a decimal rounded to the hundredth decimal fix)

68  72  66  70  75  72  66  69  71  78

M-17b) For the supposition experience overhead, what is the ctritical appreciate for α = 10%?

M-18) A learninger ambitiones to experience the vindication that the mediocre age of Los Angeles County Lifegaurds is  at most 28 years old. To experience the vindication the learninger uses a scantling of 50 purposelessly separated lifeguards from Los Angeles County and finds that the scantling mediocre and model dissolution are 29 years and 2.5 years respectively. What is the p-appreciate for this supposition experience to the unswerving thousandth decimal fix?

M-20) Find the p-appreciate in a left inferiority T-Test when the experience statistic (t appreciate) is -2.345 and the scantling bulk is 11.

_______ < p-appreciate < ______

(Your confutation should be two "decimals" in ascending classify seperated by a comma)