Question

In: Statistics and Probability

Briefly discuss the implications of a type 1 error and of a type 2 error. H0:...

Briefly discuss the implications of a type 1 error and of a type 2 error.

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

Expert Solution

Type 1 error= Reject H0 when H0 is true

Type 2 error = Accept H0 when H1 is true

In hypothesis 1)

Type 1 error= Concluding that, The average ‘freshness’ of an edible food arrangement is may not 3 hours ,but actually average ‘freshness’ of an edible food arrangement is at least 3 hours

Type 2 error =Concluding that, The average ‘freshness’ of an edible food arrangement is at least 3 hours but actually , average ‘freshness’ of an edible food arrangement is not 3 hours

In hypothesis 2)

Type 1 error= Concluding that, The average ‘freshness’ of an edible food arrangement is may less than 3 hours ,but actually average ‘freshness’ of an edible food arrangement is more than 3 hours

Type 2 error =Concluding that, The average ‘freshness’ of an edible food arrangement is more than 3 hours but actually , average ‘freshness’ of an edible food arrangement is less than 3 hours

In hypothesis 3)

Type 1 error=The average number of faulty watches per 1,000 watches is may at least 4 ,but actually The average number of faulty watches per 1,000 watches is less than 4.

Type 2 error :concluding that,The average number of faulty watches per 1,000 watches is less than 4,but actually,The average number of faulty watches per 1,000 watches is at least 4.

In hypothesis 4)

Type 1 error :concluding that,The average number of faulty watches per 1,000 watches is more than 4,but actually,The average number of faulty watches per 1,000 watches is 4..

Type 2 error :concluding that, The average number of faulty watches per 1,000 watches is 4,but actually,The average number of faulty watches per 1,000 watches is more than 4.

orchestra answered 1 year ago

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