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a$.$ Construct a $90\%$ confidence interval for the population mean force.

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$($Round to the nearest integer as needed.$)$

b$.$ What assumption must you make about the population distribution in order to construct the confidence interval estimate in $($a$)?$

A$.$ The population distribution is unimodal and not extremely skewed.

B$.$ The population standard deviation is known.

C$.$ The population distribution is not normally distributed.

D$.$ The population distribution is uniformly distributed.

c$.$ Do you think that the assumption needed in order to construct the confidence interval estimate in $($a$)$ is valid? Explain.

The assumption is

for $n=,$ since

Force Data

an appropriate plot shows that the sample distribution is uniformly distributed.

an appropriate plot shows that the sample distribution is not uniformly distributed.

an appropriate plot shows that the sample distribution is not extremely skewed.

an appropriate plot shows that the sample distribution is highly skewed.

the sample size is at least $30.$