Question

In: Statistics and Probability

In a simple random sample of 150 households, the mean number of personal computers was 1.32....

In a simple random sample of 150 households, the mean number of personal computers was 1.32. Assume the population standard deviation is σ = 0.41.

a. Construct a 95% confidence interval for the mean number of personal computers.

b. If the sample size were 100 rather than 150, would the margin of error be larger or smaller than the result in part (a)?

c. If the confidence level were 98% rather than 95%, would the margin of error be larger or smaller than the result in part (a)? (You do not have to calculate the confidence interval.)

Solutions

Expert Solution

(a)

(b)

margin of error is larger than the result in part (a).

(c) margin of error is larger than the result in part (a), because as confidence level increases, margin of error increases.

orchestra answered 1 year ago
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