t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test H0 : μ=100 vs Ha : μ<100 using the sample results x¯=91.7, s=12.5, wit

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Chapter 6, Section 2-HT, Exercise 115

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.

Test H0 : μ=100 vs Ha : μ<100 using the sample results x¯=91.7, s=12.5, with n=30.
 
 
 
 
 

(a) Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic =

p-value =

 
 

 
 
 
 
(b) What is the conclusion?


 

 

Reject H0.

 

Do not reject H0.
 
 
 
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