A test of $H_0:\mu=1.10$ kg against $H_1:\mu<1.10$ kg for the mass of manure pockets gives a test statistic of $t=-1.82$ with 79 degrees of freedom, compared against a one-tailed 5% critical value of $-1.664$ . What is the correct conclusion?

AReject

H_0

: there is evidence at the 5% level that the mean mass is less than 1.10 kg

BDo not reject

H_0

: there is no evidence at the 5% level that the mean mass is less than 1.10 kg

CReject

H_0

: there is evidence at the 5% level that the mean mass is greater than 1.10 kg

DDo not reject

H_0

: the sample provides no information about the population mean

Explanation: Since the calculated t = -1.82 is more negative than the critical value -1.664, it lies in the rejection region, so H0 is rejected in favour of H1: there is evidence at the 5% level that the mean mass of the pockets is less than 1.10 kg.

Derived from ZIMSEC Statistics Paper 1, November 2018, Q9

A test of $H_0:\mu=1.10$ kg against $H_1:\mu<1.10$ kg for the mass of manure pockets gives a test statistic of $t=-1.82$ with 79 degrees of freedom, compared against a one-tailed 5% critical value of $-1.664$ . What is the correct conclusion?

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