Question

n = 36 = 24.06 S = 12 H0: μ 20 Ha: μ > 20 If the test is done at 95% confidence, the null hypothesis should

Select one:

A. not be rejected

B. be rejected

C. Not enough information is given to answer this question.

D. None of these alternatives is correct.

Answer 1

Population standard deviation is unknown, so we will use t distribution

we have n = 36, s = 12,

It is a right tailed hypothesis

Formula for the test statistic is given as

setting the given values, we get

degree of freedom = n-1 =36-1 = 35

now, using the t calculated value and degree of freedom in the t distribution table, we get

p value= 0.025 (look for t calculated value in the left most column and its corresponding df(35) in the top most row, then select the intersecting cell)

So, it is clear that the p value is less than the significance level of 0.05. So, rejecting the null hypothesis as the test is significant.

Option B is correct