The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude, and study habits of college students. scores range from 0 to 200 and follow (approximately) a normal distribution with mean 115 and standard deviation 25. you suspect that incoming freshmen at your school have a mean μ which is different from 115 because they are often excited yet anxious about entering college. to test your suspicion, you decide to test the hypotheses h0: μ = 115 versus ha: μ ≠ 115. you give the ssha to 25 incoming freshmen and find their mean score to be 116.2. what is the value of the test statistic?

Question

Mathematics

David Alvarez

21 January, 05:34

The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude, and study habits of college students. scores range from 0 to 200 and follow (approximately) a normal distribution with mean 115 and standard deviation 25. you suspect that incoming freshmen at your school have a mean μ which is different from 115 because they are often excited yet anxious about entering college. to test your suspicion, you decide to test the hypotheses h0: μ = 115 versus ha: μ ≠ 115. you give the ssha to 25 incoming freshmen and find their mean score to be 116.2. what is the value of the test statistic?

+5

Answers (1)

Know the Answer?

Sherlyn Mack · Answer 1

The best answer for this question would be:

the data are statistically significant at level =.05, but not at level =.01.

This is the solution for the answer:

Given-

H0: μ = 115

HA: μ ≠ 115

The sample mean = 120

The standard deviation = 25

Standard error of mean 2.5

Solution-

If z = (xbar - μ) / SE

Then the solution would be

z = (120-115) / 2.5

z = 2

P of the value = 2 P (z > 2) = 2 (0.0228) = 0.0456 is the statistically significant level.

Therefore the answer is technically at. 05.