The California State Soccer Association is keeping track of how many goals teams score at the recreation level and at the club level. Do recreation teams score fewer goals on average than club teams? The data below show the number of goals scored by eleven randomly selected recreation teams and twelve randomly selected club teams. Recreation Goals: 13 3 12 13 11 11 8 9 3 7 Club Goals: 12 19 15 14 5 9 15 7 13 11 14 Assume both follow a Normal distribution. What can be concluded at the a = 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer v Select an answer H1: Select an answer v Select an answer v Select an answer v b. The test statistic ? v (please round your answer to 3 decimal places.) c. The p-value = d. The p-value is ? a e. Based on this, we should Select an answer ♥ the null hypothesis. f. Thus, the final conclusion is that ... |(Please round your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean goals scored for recreastion teams is less than the population mean goals scored for club teams. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean goals scored for the eleven recreation teams that were surveyed is less than the mean goals scored for the twelve club teams that were surveyed. O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean goals scored for recreation teams is equal to the population goals scored for club teams. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean goals scored for recreation teams is less than the population mean goals scored for club teams.

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The California State Soccer Association is keeping track of how many goals teams score at the recreation
level and at the club level. Do recreation teams score fewer goals on average than club teams? The data
below show the number of goals scored by eleven randomly selected recreation teams and twelve randomly
selected club teams.
Recreation Goals: 13
3
12
13
9.
11
11
8
3
7
Club Goals: 12
19
15
14 9 14
5
9
15
7
13
11
Assume both follow a Normal distribution. What can be concluded at the a = 0.10 level of significance
level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho: Select an answer v
Select an answer v
Select an answer v
Hj: Select an answer v
Select an answer v
Select an answer
b. The test statistic
%3D
(please round your answer to 3 decimal places.)
c. The p-value =
d. The p-value is ? va
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
(Please round your answer to 4 decimal places.)
O The results are statistically insignificant at = 0.10, so there is insufficient evidence to
conclude that the population mean goals scored for recreastion teams is less than the
population mean goals scored for club teams.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the mean goals scored for the eleven recreation teams that were surveyed is less than the
mean goals scored for the twelve club teams that were surveyed.
O The results are statistically insignificant at a = 0.10, so there is statistically significant
evidence to conclude that the population mean goals scored for recreation teams is equal to
the population goals scored for club teams.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the population mean goals scored for recreation teams is less than the population mean
goals scored for club teams.
Transcribed Image Text:The California State Soccer Association is keeping track of how many goals teams score at the recreation level and at the club level. Do recreation teams score fewer goals on average than club teams? The data below show the number of goals scored by eleven randomly selected recreation teams and twelve randomly selected club teams. Recreation Goals: 13 3 12 13 9. 11 11 8 3 7 Club Goals: 12 19 15 14 9 14 5 9 15 7 13 11 Assume both follow a Normal distribution. What can be concluded at the a = 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v Hj: Select an answer v Select an answer v Select an answer b. The test statistic %3D (please round your answer to 3 decimal places.) c. The p-value = d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... (Please round your answer to 4 decimal places.) O The results are statistically insignificant at = 0.10, so there is insufficient evidence to conclude that the population mean goals scored for recreastion teams is less than the population mean goals scored for club teams. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean goals scored for the eleven recreation teams that were surveyed is less than the mean goals scored for the twelve club teams that were surveyed. O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean goals scored for recreation teams is equal to the population goals scored for club teams. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean goals scored for recreation teams is less than the population mean goals scored for club teams.
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