1. A researcher selects a sample of 14 college students and asks them to rate how important a wealth is to them. She records scores averaging 0.94 0.6 (MSD) on a rating scale from -3 (not important at all) to +3 (very important). Assuming that an average score of 0 is the null hypothesis, test whether or not women find this trait important at a .05 level of significance, two-tailed test.

2. Twenty five high school students complete a preparation program for long jumping. The mean long jump for this group is 680 cm. We know that the population average for long jumps is 640 cm with a standard deviation of 120 cm. Are these students' long jumps (M = 680 cm) significantly greater than a population mean? *Note we know the population standard deviation here.

3. A local school reports that the average GPA in the entire school is a mean score of 2.66, with a standard deviation of 1.40. The school announces that it will be introducing a new program designed to improve GPA scores at the school. What is the effect size (d) for this program if it expected to improve GPA by 0.10 point?

4.Your company wants to improve sales. Past sales data indicate that the average sale was $100 per transaction. After training your sales force, recent sales data (taken from a sample of 25 salesmen) indicates an average sale of $105, with a standard deviation of $15. Did the training work? Test your hypothesis at a 5% alpha level.Choose the appropriate test (two-tailed, alpha =.05).

5. To compare customer satisfaction levels of two competing cable television companies, 7 customers of Company 1 and 5 customers of Company 2 were randomly selected and were asked to rate their cable companies on a five-point scale, with 1 being least satisfied and 5 most satisfied. The survey results are summarized in the following table:

n

mean

Standard deviation (s)

Variance (s²)

Company 1

7

3.51

0.51

0.26

Company 2

5

3.24

0.52

0.27

Did mean customer satisfaction ratings differ between the two groups as measured on this five-point scale?Choose the appropriate test (two-tailed, alpha =.05) andshow your work. Note. df=10 for across both samples. Assume the population mean from which each group is draw in the same such that u₁-u₂=0.