You may have heard that bears cannot run very quickly downhill. According to many popular websites, this is a myth. To investigate, a wildlife researcher selects a random sample of 35 bears and gets them to individually run down a large hill by presenting a fish feast at the bottom of the hill. As they run he measures their speed in order to compute a confidence interval for the true mean downhill running speed for all bears. Are the conditions for calculating a confidence interval for μ met in this case? Explain. No. The Random condition is met, but the Normal/Large Sample condition is not met. Yes! Both the Random and Normal/Large Sample conditions are met. We do not have enough information provided to determine if both of the conditions are met. No. The Normal/Large Sample condition is met. but the Random condition is not met.

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Author:Amos Gilat
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You may have heard that bears cannot run very quickly downhill. According to many popular websites, this is a myth. To
investigate, a wildlife researcher selects a random sample of 35 bears and gets them to individually run down a large hill by
presenting a fish feast at the bottom of the hill. As they run he measures their speed in order to compute a confidence interval for
the true mean downhill running speed for all bears.
Are the conditions for calculating a confidence interval for u met in this case? Explain.
No. The Random condition is met, but the Normal/Large Sample condition is not met.
Yes! Both the Random and Normal/Large Sample conditions are met.
We do not have enough information provided to determine if both of the conditions are met.
No. The Normal/Large Sample condition is met, but the Random condition is not met.
No. The Random condition is not met and the Normal/Large Sample condition is not met.
Transcribed Image Text:You may have heard that bears cannot run very quickly downhill. According to many popular websites, this is a myth. To investigate, a wildlife researcher selects a random sample of 35 bears and gets them to individually run down a large hill by presenting a fish feast at the bottom of the hill. As they run he measures their speed in order to compute a confidence interval for the true mean downhill running speed for all bears. Are the conditions for calculating a confidence interval for u met in this case? Explain. No. The Random condition is met, but the Normal/Large Sample condition is not met. Yes! Both the Random and Normal/Large Sample conditions are met. We do not have enough information provided to determine if both of the conditions are met. No. The Normal/Large Sample condition is met, but the Random condition is not met. No. The Random condition is not met and the Normal/Large Sample condition is not met.
Expert Solution
Step 1

Calculating a confidence interval must satisfy the following two conditions

1. Only random samples are drawn.

2. The sample size is greater than or equal to 30.

 

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