1. Does the bat make a difference? This was a question of interest at the regional little league monthly meeting. To test whether the more expensive bats do increase the average distance hit, ten little league batters of the same age were randomly chosen. The batters hit ten balls with the top of the line bat and after a rest; hit ten balls with the lower price bat. The data below represents the dis- tance hit in feet for the batters. Top of the 69.9 Line Bat 59.2 58.9 58.7 63.2 62.5 66.5 70.4 65.9 55.5 Lower 59.2 61.2 52.6 54.3 58.1 62.3 56.5 62.4 53 61.8 Price Bat a. At the 5% significance level, does the evidence suggest that the top of the line bat does increase the average distance hit versus the lower price bat? b. Do you think there is a confounding factor that was not controlled for in the design of the experiment?

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1) null and alternative hypothesis

2) observed value

3) p-value

1. Does the bat make a difference? This was a question of interest at the regional little league monthly
meeting. To test whether the more expensive bats do increase the average distance hit, ten little
league batters of the same age were randomly chosen. The batters hit ten balls with the top of the
line bat and after a rest; hit ten balls with the lower price bat. The data below represents the dis-
tance hit in feet for the batters.
Top of the 69.9
Line Bat
59.2
58.9
58.7
63.2
62.5
66.5
70.4
65.9
55.5
Lower
59.2
61.2
52.6
54.3
58.1
62.3
56.5
62.4
53
61.8
Price Bat
a. At the 5% significance level, does the evidence suggest that the top of the line bat does increase
the average distance hit versus the lower price bat?
b. Do you think there is a confounding factor that was not controlled for in the design of the
experiment?
Transcribed Image Text:1. Does the bat make a difference? This was a question of interest at the regional little league monthly meeting. To test whether the more expensive bats do increase the average distance hit, ten little league batters of the same age were randomly chosen. The batters hit ten balls with the top of the line bat and after a rest; hit ten balls with the lower price bat. The data below represents the dis- tance hit in feet for the batters. Top of the 69.9 Line Bat 59.2 58.9 58.7 63.2 62.5 66.5 70.4 65.9 55.5 Lower 59.2 61.2 52.6 54.3 58.1 62.3 56.5 62.4 53 61.8 Price Bat a. At the 5% significance level, does the evidence suggest that the top of the line bat does increase the average distance hit versus the lower price bat? b. Do you think there is a confounding factor that was not controlled for in the design of the experiment?
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