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

Taye

Mathematics

3 February, 11:41

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?

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Answers (1)

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Beau · 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.