Question

**** the answer is not " A"

The average interest score for drones in America is μ = 24 on a standardized “drone interest” survey. Jose wants to know if UCM students have “drone

interest” scores that are significantly lower than the national average. Jose has 25 students complete the survey and finds that their mean is 21 with a standard deviation of 5. Choose the appropriate test statistic. Use α = .05.

Q20 Which of the following values is the critical value in this analysis?

A. −2.060

B. −2.064

C. −1.711

D. −1.708

Answer 1

Solution:

Given in the question

Population mean = 24

Null hypothesis H0: mean >=24

Alternate hypothesis H0: Mean <24

Sample mean = 21

No. of sample = 25

Sample standard deviation = 5

We will use t test as we don't know population standard deviation and sample size is less than 30

Test stat = (21-24)/5/sqrt(25) = -3

at alpha = 0.05 and df = 25-1 =24 and this is a left tailed test so Test critical value from t table is -1.711

So its answer is C.

Here we can see that test stat value is less than test critical value so we can reject the null hypothesis and we have significant evidence to support the claim.