Question 1

For a confidence level of $85 \%$, find the critical value
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Step 1 ：The critical value for a confidence level can be found using a Z-table or a statistical calculator. The critical value is the number of standard deviations a particular sample must be from the mean to fall within the desired confidence level.

Step 2 ：For a confidence level of 85%, the significance level (alpha) is 1 - 0.85 = 0.15.

Step 3 ：Since we are considering a two-tailed test (values can fall either above or below the mean), we divide the alpha by 2, which gives us 0.075.

Step 4 ：We then look up this value in the Z-table to find the critical value.

Step 5 ：The critical value is approximately 1.44.