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Answer:
The 85% confidence interval for the mean is between 5.5 and 5.7 fast food meals consumed per week.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.6 - 0.08 = 5.52 = 5.5.
The upper end of the interval is the sample mean added to M. So it is 5.6 + 0.08 = 5.7.
The 85% confidence interval for the mean is between 5.5 and 5.7 fast food meals consumed per week.