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Use technology and a t-test to test the claim about the population mean

Use technology and a t-test to test the claim about the population mean  the given level of

significance α using the given sample statistics. Assume the population is normally distributed. Claim:μ>78; α =0.01 Sample statistics:x=78.6, s=3.7, n=24

What are the null and alternative hypotheses? 

What is the value of the standardized test statistic? (Round to two decimal places as needed.)

What is the P-value of the test statistic? (Round to three decimal places as needed.)

Decide whether to reject or fail to reject the null hypothesis.

 
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