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changes, but lately you have been getting some customer complaints that it takes too long to g oil change, You take a random sample of 36 customers and time how long (in minutes) the customer must wait for their oil change. The results are in the table below. \begin{tabular}{|l|l|l|l|l|l|} \hline 42 & 29 & 19 & 11 & 10 & 27 \\ \hline 41 & 27 & 22 & 26 & 28 & 32 \\ \hline 17 & 15 & 25 & 35 & 31 & 22 \\ \hline 13 & 31 & 17 & 37 & 33 & 25 \\ \hline 18 & 24 & 28 & 21 & 40 & 19 \\ \hline 33 & 30 & 14 & 23 & 22 & 10 \\ \hline \end{tabular} (data from hittp:/lorg.elon.edu/econ/sac/Descriptive.htm) In the questions below, you will perform a hypothesis test on the claim that the mean wait time is less than 30 minutes at a significance level of 0.01 . 1. Write the null and alternative hypothesis. (Make sure to label which is which and use the correct symbol \( p \) or \( \mu \) ) \[ \begin{array}{l} H_{0}: U \geq 30 \\ H_{a}: V<30 \end{array} \] 2. Use your calculator to find the Test Statistic and p-value. Label each accordingly. Round to 4 decimal places. \[ T=\frac{24.5-30}{\frac{5}{\sqrt{36}}} \] 3. Use the t-distribution table on the last page of your formula chart to find the critical value.

          changes, but lately you have been getting some customer complaints that it takes too long to g oil change, You take a random sample of 36 customers and time how long (in minutes) the customer must wait for their oil change. The results are in the table below.
\begin{tabular}{|l|l|l|l|l|l|}
\hline 42 & 29 & 19 & 11 & 10 & 27 \\
\hline 41 & 27 & 22 & 26 & 28 & 32 \\
\hline 17 & 15 & 25 & 35 & 31 & 22 \\
\hline 13 & 31 & 17 & 37 & 33 & 25 \\
\hline 18 & 24 & 28 & 21 & 40 & 19 \\
\hline 33 & 30 & 14 & 23 & 22 & 10 \\
\hline
\end{tabular}
(data from hittp:/lorg.elon.edu/econ/sac/Descriptive.htm)
In the questions below, you will perform a hypothesis test on the claim that the mean wait time is less than 30 minutes at a significance level of 0.01 .
1. Write the null and alternative hypothesis. (Make sure to label which is which and use the correct symbol \( p \) or \( \mu \) )
\[
\begin{array}{l}
H_{0}: U \geq 30 \\
H_{a}: V<30
\end{array}
\]
2. Use your calculator to find the Test Statistic and p-value. Label each accordingly. Round to 4 decimal places.
\[
T=\frac{24.5-30}{\frac{5}{\sqrt{36}}}
\]
3. Use the t-distribution table on the last page of your formula chart to find the critical value.

changes, but lately you have been getting some customer complaints that it takes too long to g oil change, You take a random sample of 36 customers and time how long (in minutes) the customer must wait for their oil change. The results are in the table below.

42 29 19 11 10 27

41 27 22 26 28 32

17 15 25 35 31 22

13 31 17 37 33 25

18 24 28 21 40 19

33 30 14 23 22 10

(data from hittp:/lorg.elon.edu/econ/sac/Descriptive.htm)
In the questions below, you will perform a hypothesis test on the claim that the mean wait time is less than 30 minutes at a significance level of 0.01 .
1. Write the null and alternative hypothesis. (Make sure to label which is which and use the correct symbol p or μ )

H0: U ≥ 30

Ha: V<30

2. Use your calculator to find the Test Statistic and p-value. Label each accordingly. Round to 4 decimal places.

T=(24.5-30)/((5)/(√(36)))

3. Use the t-distribution table on the last page of your formula chart to find the critical value.

Added by Anna R.

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