Use the t-test to test the claim about the population mean M at the given level

Question

Use the t-test to test the claim about the population mean M at the given level of significance alpha using the given sample statistics. Assume the population is normally distributed. Claim: mu notequalto 26, alpha = 0.10, sample statistic: x = 27.4,s=4.7,n=13 What are the nul and alternative hypothesis?H_0: mu = 26 H_a: mu notequalto 26 What is the value of the standardized test statistic? The standardized test statistic is t= x-M/theta/squareroot n = 27.4 -26/4.7/squareroot 13 = 1.4/1.3035 = 1.07 P-Value = 0.304

Explanation / Answer

P-Value :Two Tailed ( double the one tail ) -Ha : ( P != 1.07 ) = 0.3098
Use the excel formula T.DIST.2T(ABS(T.STAT),n-1), it is T.DIST.2T(ABS(1.07),11-1)

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