Question

A film developer claims that the mean number of pictures developed for a camera with 27 exposures is more than 23. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis and (b) fails to reject the null hypothesis?

Answer #1

Since the claim is that the mean number of pictures developed is more than 23, the null and alternative hypotheses are

where is the mean number of pictures developed

a) Rejecting the null hypothesis will mean that

There exists sufficient statistical evidence to conclude that the mean number of pictures developed for a camera with 27 exposures is more than 23.

b) Fails to reject the null hypothesis will mean that

There does not exist sufficient statistical evidence to conclude that the mean number of pictures developed for a camera with 27 exposures is more than 23.

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