Question 1The dean of a university estimates that the mean number of classroom hours per week for full-time

faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At alpha=0.05,can you reject the dean’s claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

Data set:

10.8
9.5
13.1
6.2
7.1
11.1
14.6
8.8

(b)Find the p value

(c) reject or fail to reject

(d) is there sufficient evidence?

Question 2

A humane society claims that less than 33% of U.S. households own a dog. In a random sample of 390 U.S. households, 153 say they own a dog. At alphaequals0.03, is there enough evidence to support the society’s claim?(a) Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

Question 3

One study, based on responses from 1025 randomly selected teenagers, concluded that 41% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.

(a)find the z statistic

(b)find the p value

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