# mat201 case 5

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Problems want to include all required steps and vindication(s) for liberal belief. All vindications want to be abject to meanest conditions where practicable.

**Answer the forthcoming problems showing your employment and illustrateing (or analyzing) your results.**

- Explain Type I and Type II fallacys. Use an specimen if wanted.
- Explain a one-tailed and two-tailed experience. Use an specimen if wanted.
- Define the forthcoming conditions in your own expression.

- Null supposition
- P-value
- Critical value
- Statistically indicative

_{o}and the choice supposition H

_{a}.

- Write the elimination supposition and the trifling supposition.
- Then erect a consideration approve the one adown, displaying the outcomes that would form Type I and Type II fallacy.
- Write a article illustrateing which fallacy would be past stern, and why.

- Cough-a-Lot children’s cough syrup is reputed to embrace 6 ounces of corrective per bottle. However since the filling implement is not regularly explicit, there can be mutation from bottle to bottle. The totalitys in the bottles are regularly orderly after a while σ = 0.3 ounces. A sort assertion manager values 10 bottles and meets the forthcoming (in ounces):

5.95 | 6.10 | 5.98 | 6.01 | 6.25 | 5.85 | 5.91 | 6.05 | 5.88 | 5.91 |

Are the results sufficient attraction to infer that the bottles are not occupied adequately at the labeled totality of 6 ounces per bottle?

- State the supposition you accomplish experience.
- Calculate the experience statistic.
- Find the P-value.
- What is the misrecord?

- Calculate a Z charges when X = 20, μ = 17, and σ = 3.4.
- Using a test regular probabilities consideration, expone the results for the Z charges in Problem 7.
- Your babysitter vindications that she is underpaid consecrated the exoteric market. Her hourly wage is $12 per hour. You do some elimination and disclose that the middle wage in your area is $14 per hour after a while a test deviation of 1.9. Calculate the Z charges and use the consideration to meet the test regular chance. Based on your meetings, should you impart her a elevate? Illustrate your rationalistic as to why or why not.
- Tutor O-Rama vindications that their services accomplish elevate novice SAT math chargess at lowest 50 points. The middle charges on the math fraction of the SAT is μ=350 and σ=35. The 100 novices who completed the tutoring program had an middle charges of 385 points.
- Is the novices’ middle charges of 385 points indicative at the 5% and 1% levels to stay Tutor O-Rama’s vindication of at lowest a 50-point growth in the SAT charges?
- Is the Tutor O-Rama novices’ middle charges of 385 points indicatively different at the 5% and 1% levels from the middle charges of 350 points on the math fraction of the SAT? What misrecord can you frame, based on your results, environing the efficaciousness of Tutor O-Rama’s tutoring?