In a recent year, the federal communications Commission reported that the mean w

Question

In a recent year, the federal communications Commission reported that the mean wait time for repairs for Verizon customers was 36.5 hours. In an effort to improve this service, process was developed. This new process, used for a sample of 50 repairs, resulted in a sample mean of 34.5 hours and a sample standard deviation of 9.7 hours. a.)Is there evidence that the population mean amount is less than 36.5 hours?(Use a 0.05 level of significance.) b.)Determine the p-value and interpret its meaning, solve using R studio codes

Explanation / Answer

mu <- 36.5
xbar <- 34.5
s<- 9.7
n<- 50

## t test

z = (xbar- mu)/(s/sqrt(n))
z

pnorm(xbar,mean=mu,sd=s/sqrt(n))

the results are

> z
[1] -1.457952
>
> pnorm(xbar,mean=mu,sd=s/sqrt(n))
[1] 0.07242687 is the p value

This means that there is only 7% chance that our results and conclusions might be wrong

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