Question

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?

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.