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uestion 6 of 8
Previous question

0//1
urrent Attempt in Progress
Incorrect.
Average Penalty Minutes in the NHL An interval estimate was constructed for mean penalty minutes given to NHL players in a seas using data from players on the Ottawa Senators as our sample. Some percentiles from a bootstrap distribution of 5000 sample mean are shown below.

0.5%

1.0%

2.0%

2.5%

5.0%

95.0%

97.5%

98.0%

99.0%

99.5%

Percentile
13.7
14.3
15.3
15.6
16.9
32.8
34.4
35.0
36.7
37.8

Use this information to find a
98% confidence interval for the mean penalty minutes of NHL players. Assume that the players on this team are a reasonable sample from the population of all players.
Enter the exact answers.
The
98% confidence interval is
◻ to
◻ 25.25
eTextbook and Media
Hint

uestion $6$ of $8$ $\newline$ Previous question $\newline$ $0 / 1$ $\newline$ urrent Attempt in Progress $\newline$ Incorrect. $\newline$ Average Penalty Minutes in the NHL An interval estimate was constructed for mean penalty minutes given to NHL players in a seas using data from players on the Ottawa Senators as our sample. Some percentiles from a bootstrap distribution of $5000$ sample mean are shown below. $\newline$ \begin{tabular}{ccccccccccc} $\newline$ \hline & $0.5 \%$ & $1.0 \%$ & $2.0 \%$ & $2.5 \%$ & $5.0 \%$ & $95.0 \%$ & $97.5 \%$ & $98.0 \%$ & $99.0 \%$ & $0.5 \%$ $0$ \\ $\newline$ \hline Percentile & $13$ . $7$ & $14$ . $3$ & $15$ . $3$ & $15$ . $6$ & $16$ . $9$ & $32$ . $8$ & $34$ . $4$ & $35$ . $0$ & $36$ . $7$ & $37$ . $8$ \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ Use this information to find a $0.5 \%$ $1$ confidence interval for the mean penalty minutes of NHL players. Assume that the players on this team are a reasonable sample from the population of all players. $\newline$ Enter the exact answers. $\newline$ The $0.5 \%$ $1$ confidence interval is $0.5 \%$ $3$ to $0.5 \%$ $3$ $25$ . $25$ $\newline$ eTextbook and Media $\newline$ Hint

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Interpret confidence intervals for population means

Full solution

Q. uestion

6

of

8

\newline

Previous question

\newline

0 / 1

\newline

urrent Attempt in Progress

\newline

Incorrect.

\newline

Average Penalty Minutes in the NHL An interval estimate was constructed for mean penalty minutes given to NHL players in a seas using data from players on the Ottawa Senators as our sample. Some percentiles from a bootstrap distribution of

5000

sample mean are shown below.

\newline

\begin{tabular}{ccccccccccc}

\newline

\hline &

0.5 \%

&

1.0 \%

&

2.0 \%

&

2.5 \%

&

5.0 \%

&

95.0 \%

&

97.5 \%

&

98.0 \%

&

99.0 \%

&

0.5 \%

0

\\

\newline

\hline Percentile &

13

.

7

&

14

.

3

&

15

.

3

&

15

.

6

&

16

.

9

&

32

.

8

&

34

.

4

&

35

.

0

&

36

.

7

&

37

.

8

\\

\newline

\hline

\newline

\end{tabular}

\newline

Use this information to find a

0.5 \%

1

confidence interval for the mean penalty minutes of NHL players. Assume that the players on this team are a reasonable sample from the population of all players.

\newline

Enter the exact answers.

\newline

The

0.5 \%

1

confidence interval is

0.5 \%

3

to

0.5 \%

3

25

.

25

\newline

eTextbook and Media

\newline

Hint

Identify Confidence Interval: To find the $98\%$ confidence interval, we need to look at the $1\%$ and $99\%$ percentiles from the bootstrap distribution.
Calculate $1$ \% and $99$ \% Percentiles: The $1$ \% percentile is $14.3$ minutes and the $99$ \% percentile is $37.8$ minutes.
Determine $98$ % Confidence Interval: So, the $98$ % confidence interval is from $14.3$ to $37.8$ minutes.

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