Question

Question 14 Not yet answered Marked out of A Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivational attitude toward school and study habits of students. Scores range from 0 to 200. The mean for Canadian college students is about 115, and the standard deviation is about 30. A teacher who suspects this population average to be incorrect gives the SSHA to 25 students who are at least 30 years of age. The sample average score is 127.8. Calculate the p-value 1.00 Flag question Select one a. 0.03 b.0.3 C. 0.003 d. 0.5

Answer 1

Solution:

Given

n = 25 sample size of study Habits Attitudes (SSHA)

$\mu= 115$ population mean

$\sigma= 30$. Population standard deviations

$\bar x= 127.8$. Sample mean

To test the hypothesis

$Ho:\mu=115$. Vs.   $Ha:\mu\neq115$

Test statistic

$Z=\frac{\bar x-\mu}{\sigma/\sqrt n}$

$Z=\frac{127.8-115}{30/\sqrt 25}$

$Z=\frac{127.8-115}{30/5}$

$Z=\frac{12.8}{6}$

Z = 2.133333

Test statistic Z = 2.13

P Value = 0.0332 from Z table

P Value =0.03

Option A is correct.