# Performing a 5-step hypothesis testing

Do students at various universities differ in how sociable they are? Twenty-five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spent socializing each day with other students. The result for University X was a mean of 5 hours and an estimated population variance of 2 hours; for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. Using the 5 steps of hypothesis testing listed below, what should you conclude? (Refer to page 319 in the text for steps to complete this problem).

Step 1 (Restate the Question as a research hypothesis and null hypothesis about the populations)

Population 1:

Population 2:

Population 3:

Research Hypothesis:

Null Hypothesis:

Step 2 (Determine the characteristics of the comparison distribution)

df between:

What distribution?:

Step 3 (Using the .05 level, determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected)

Probability:

Degrees of freedom:

Cutoff score:

Step 4 (Determine your sample's score on the comparison distribution)

Between groups population variance estimate:

Within groups population variance estimate :

F:

Step 5 (Decide whether to reject the null hypothesis)

Figure the effect size for the study

https://brainmass.com/statistics/hypothesis-testing/performing-step-hypothesis-testing-573568

#### Solution Preview

Please check attachment.

Do students at various universities differ in how sociable they are? Twenty-five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spent socializing each day with other students. The result for University X was a mean of 5 hours and an estimated population variance of 2 hours; for University Y, M = 4, S2 = 1.5; and for University Z, M = 6, S2 = 2.5. Using the 5 steps of hypothesis testing listed below, what should you conclude? (Refer to page ...

#### Solution Summary

The solution gives detailed steps on performing a 5-step hypothesis testing. All formula and calculations are shown and explained.

Performing a 5-step Hypothesis Testing and Term Definition

I appreciate the clarity and the step by step help you guys offer!

Here are my questions:

For Questions 6 & 7, complete the following:

a) State the null and alternate hypotheses. Will we use a left-tailed, right-tailed, or two-tailed test? What is the level of significance?

b) Identify the sampling distribution to be used: standard normal or the Student's t. Compute the z or t value of the sample test statistic and sketch its location.

c) Find the P value for the sample test statistic.

d) Should we reject or fail to reject the null hypothesis?

Question 6

A new bus route has been established between downtown Denver and Englewood, a suburb of Denver. Dan has taken the bus to work for many years. For the old bus route, he knows that the mean waiting time between buses at his stop was 18.3 minutes. However, a random sample of 5 waiting times between buses using the new route had a mean of 15.1 minutes with s = 6.2 minutes. Does this indicate that the population mean waiting time for the new route is different from what it used to be? Use α = .05.

Question 7

A music teacher knows from past records that 60% of students taking summer lessons play the piano. The instructor believes that this proportion may have dropped due to the popularity of wind and brass instruments. A random sample of 80 students yielded 43 piano players. Use α = .05.

Question 8

The College Registrar's Office recorded the number of students receiving incompletes over the past 24 semesters; a) make a frequency table with 5 classes, showing class boundaries, class midpoints, frequencies, and relative frequencies; b) make a frequency histogram with 5 classes; c) make a relative frequency histogram with 5 classes.

28 47 19 58 63 77 53 39 93 35 42 81

62 67 71 59 48 56 75 48 63 32 46 57

Question 9

A random sample of 18 airline carry-on luggage bags gave the following weights (in pounds). Find the mean, median, and mode of these weights.

12 25 10 38 12 19 8 12 17

41 7 22 10 19 12 16 5 14

Question 10

Sophia took a test and scored in the 79th percentile. What percentage of the scores were at or below her score? What percentage were above