Consider the hypothesis test given by H_0: =650 H_a: >650 Assume the population
ID: 3157302 • Letter: C
Question
Consider the hypothesis test given by H_0: =650 H_a: >650 Assume the population is normally distributed. In a random sample of 64 subjects, the sample mean is found to be x =655, and the sample standard deviation is s=20.
(a) Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?
(b) Is the test a right-tailed, left-tailed or two-tailed test?
(c) Find the test statistic. (Show work and round the answer to two decimal places)
(d) Determine the P-value for this test. (Show work and round the answer to three decimal places if necessary. If you use technology to find the P-value, you have to describe the steps)
(e) Is there sufficient evidence to justify the rejection of at the =0.05 level? PLEASE Explain, clearly justify. Thank you
Explanation / Answer
a) mean , t test
b) right tailed test
c) t = ( 655 - 650) / ( 20 / srqt 64 )
t = 2
p value : 0.02
since p value is greater than 0.05 wefail to reject Ho