t is well known among hockey fans that the National Hockey League (NHL) has been trying to increase goal scoring. The following table gives a set of summary statistics from the 2010 - 2011 and 2018 - 2019 NHL seasons. Assuming that the data from each season are independent simple random samples, complete the following exercises: At the 5% significance level do the data provide sufficient evidence that the average number of goals scored in the 2018 - 2019 season is greater than the average number of goals scored in the 2010 - 2011 season? Compute a 95% confidence interval for the difference between the average number of goals scored in the 2010 - 2011 season and the 2018 - 2019 season. Do the results of the hypothesis test and confidence interval agree? Explain.

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It is well known among hockey fans that the National Hockey League (NHL) has been trying to increase goal scoring. The following table gives a set of summary statistics from the 2010 - 2011 and 2018 - 2019 NHL seasons.

Assuming that the data from each season are independent simple random samples, complete the following exercises:

  1. At the 5% significance level do the data provide sufficient evidence that the average number of goals scored in the 2018 - 2019 season is greater than the average number of goals scored in the 2010 - 2011 season?
  2. Compute a 95% confidence interval for the difference between the average number of goals scored in the 2010 - 2011 season and the 2018 - 2019 season.
  3. Do the results of the hypothesis test and confidence interval agree? Explain.
It is well known among hockey fans that the National Hockey League (NHL) has been trying to
increase goal scoring. The following table gives a set of summary statistics from the 2010 - 2011 and
2018 - 2019 NHL seasons.
Season
Mean
Standard Deviation
Number of Teams
2010 - 2011
224.0323
21.154
31
2018 - 2019
244.4063
29.277
32
Assuming that the data from each season are independent simple random samples, complete the
following exercises:
a. At the 5% significance level do the data provide sufficient evidence that the average number of
goals scored in the 2018 - 2019 season is greater than the average number of goals scored in the
2010 - 2011 season?
b. Compute a 95% confidence interval for the difference between the average number of goals
scored in the 2010 - 2011 season and the 2018 - 2019 season.
c. Do the results of the hypothesis test and confidence interval agree? Explain.
Transcribed Image Text:It is well known among hockey fans that the National Hockey League (NHL) has been trying to increase goal scoring. The following table gives a set of summary statistics from the 2010 - 2011 and 2018 - 2019 NHL seasons. Season Mean Standard Deviation Number of Teams 2010 - 2011 224.0323 21.154 31 2018 - 2019 244.4063 29.277 32 Assuming that the data from each season are independent simple random samples, complete the following exercises: a. At the 5% significance level do the data provide sufficient evidence that the average number of goals scored in the 2018 - 2019 season is greater than the average number of goals scored in the 2010 - 2011 season? b. Compute a 95% confidence interval for the difference between the average number of goals scored in the 2010 - 2011 season and the 2018 - 2019 season. c. Do the results of the hypothesis test and confidence interval agree? Explain.
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