For each of the following claims mention what kind of test s

For each of the following claims mention what kind of test should be used (one-tail, two-tail) and set up the null and alternate hypothesis. Consider that the critical value is = CV. For each H0, mentioned the acceptance range. a) The Pastry shop claims that its chocolate cookies have no more than 60% chocolate per cookie. b) The 87Cents Store claims that their daily profit is at most $1000. c) A chemist invents an additive to increase the life of an automobile battery. The mean lifetime of the automobile battery with the additive will be greater than 36 months.

Solution

a)

This is a right tailed test, by \"no more than 60% chocolate\". We seek to disprove that, so

Ho: u <= 0.60
Ha: u > 0.60 [ANSWER]

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b)

This is a right tailed test, by \"at most $1000\". We seek to disprove that, so

Ho: u <= 1000
Ha: u > 1000 [ANSWER]

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c)

We seek to prove that it is indeed greater than 36 months, so this is a right tailed test:

Ho: u <= 36
Ha: u > 36 [ANSWER]