Question

In: Statistics and Probability

Each of the following pairs of null and alternative hypothesis has some error. Identify the error...

Each of the following pairs of null and alternative hypothesis has some error. Identify the error and explain how to fix it.

H0: The average ‘freshness’ of an edible food arrangement is at least 3 hours

H1: The average ‘freshness’ of an edible food arrangement is not 3 hours

H0: The average ‘freshness’ of an edible food arrangement is more than 3 hours

H1: The average ‘freshness’ of an edible food arrangement is less than 3 hours

H0: The average number of faulty watches per 1,000 watches is less than 4

H1: The average number of faulty watches per 1,000 watches is at least 4

H0: The average number of faulty watches per 1,000 watches is 4

H1: The average number of faulty watches per 1,000 watches is more than 4

Solutions

Expert Solution

H0: The average ‘freshness’ of an edible food arrangement is at least 3 hours

H1: The average ‘freshness’ of an edible food arrangement is less than 3 hours

H0: The average ‘freshness’ of an edible food arrangement is at least 3 hours

H1: The average ‘freshness’ of an edible food arrangement is less than 3 hours

H0: The average number of faulty watches per 1,000 watches is at least 4

H1: The average number of faulty watches per 1,000 watches is less than 4

H0: The average number of faulty watches per 1,000 watches is 4

H1: The average number of faulty watches per 1,000 watches is not equal to 4

Explanation:

Always keep in mind that the null hypothesis H0 contains ‘=’(equal to), ‘≤’(less than or equal to), or ‘≥’(greater than or equal to) only. Null hypothesis always contain ‘equal to’ in the statement. Alternative hypothesis only contain three types of inequalities such ‘<’ (less than), ‘>’(greater than), or ‘≠’(not equal to). So, according to this, above statements were changed.

orchestra answered 1 year ago
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