Question

Check the requirements for confidence intervals using the following information:

Suppose we want to estimate the average number of times American adults wash their hands every day. A survey of 50 American adults finds a sample average of 2.2 times a day. With this information, you plan to create a 90% Confidence Interval for the true mean number of times American adults wash their hands every day.

Conditions:

i. The method of sampling:

a) Is stated to be random

b) Can be safely assumed to be random

c) Is not random

ii. The sample size is:

a) Large enough, since 50 is greater than or equal to 30

b) not large enough since 4.5 < 10

c) large enough since 50 is greater than or equal to 10

d) large enough since 2.2 < 30

iii. The sample is:

a) more than 5% of all american adults. independent

b) less than 5% of all american adults. independent

c) less than 5% of american adults. dependent

d) more than 5% of american adults. dependent

because of our answers we:

a) have met the requirements to construct a 90% confidence interval

b) have NOT met the requirements to construct a 90% confidence interval

Answer 1

i.

b) Can be safely assumed to be random

ii.

a) Large enough, since 50 is greater than or equal to 30

iii.

b) less than 5% of all American adults. independent

iv.

a) have met the requirements to construct a 90% confidence interval

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