## Related questions with answers

A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use $\alpha=.01$.

$\begin{array}{lcccccccc} \hline & \text { Truck 1 } & \text { Truck 2 } & \text { Truck 3 } & \text { Truck 4 } & \text { Truck 5 } & \text { Truck 6 } & \text { Truck 7 } & \text { Truck 8 } \\ \hline \text { Entry failures } & 43 & 45 & 53 & 56 & 61 & 51 & 48 & 44 \\ \text { Exit failures } & 48 & 51 & 60 & 58 & 58 & 45 & 55 & 50 \\ \hline \end{array}$

Solution

VerifiedFor the two given data samples, we can calculate that their differences $(d)$ are:

Using the functions for mean and standard deviation:
`AVERAGE(Difference)`

and
`STDEV.S(Difference)`

we can find out that the mean value of all differences is $\bar{d}=-3.00$ and its standard deviation $s_d=4.957$. Also, as we can count from the table, the sample size is $n=8$.

## Create an account to view solutions

## Create an account to view solutions

## More related questions

1/4

1/7