Suppose in testing: H_0: mu = 4 against H_1: mu lessthan 4, the test statistics

Question

Suppose in testing: H_0: mu = 4 against H_1: mu lessthan 4, the test statistics is t = -2.998 and the degrees of freedom is df = 7. 7. Calculate the p-value and decide if the null hypothesis should be rejected at the 5 percentage significance level. Suppose in testing H_0: mu = 4 against H_1: mu notequalto 4, the test statistics is t = 2.998 and the degrees of freedom is df=7. Calculate the p-value and decide if the null hypothesis should be rejected at the 1% significance level. Determine how many ways we can permute the letters in the word COMMITTEE

Explanation / Answer

a.
to =-2.998
P-Value :Left Tail -Ha : ( P < -2.998 ) = 0.01

Hence Value of 0.01 < P0.05, Here we Reject Ho

b.
P-Value :Two Tailed ( double the one tail ) - Ha : ( P != 2.998 ) = 0.02
Hence Value of 0.02 > P0.01,Here we Failed to Reject Ho

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