Question

Suppose you want to study the average glucose levels, measured in mg/dL, of people from a local city whose standard deviation is known to be σ=3.45, and you gather a sample whose characteristics is given by:

x¯=95.3 s=4.73 n=43

Suppose we want to create a two-sided 93% confidence interval for the mean population average glucose level, what would be the associated critical value? (2 decimal places)

Suppose we want to create a two-sided 93% confidence interval for the mean population average glucose level, mew sub mew, what would be the marginal error for the confidence interval? (round to 4 decimal places and use the rounded critical value from the last problem)

Using the marginal error calculated in the previous problem, what is the 93% confidence interval for mew sub mew, (Input your answers from least to greatest, rounded to 2 decimal places)

Answer 1

Solution:-

Given That,

σ=3.45 and x¯=95.3, s=4.73

sample size n=43.

A)

At 93% Confidence level, the critical value is

B)

margin of Error is

C)

The 93% confidence interval is,