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b. Calculate a 95% confidence interval for the mean number of young per litter for all Garter Snakes bred in captivity. (to 3 decimal places) Remember: Art of Stat does NOT do confidence intervals for when the population standard deviation is known. You must use a TI Calculator with Z-interval OR the book calculator in section 8.2 <με c. How can we interpret the confidence interval from b. (Hint: there are actually two possible correct answers here.)

b. Calculate a 95% confidence interval for the mean number of young per litter for all Garter Snakes bred in captivity. (to 3 decimal places) Remember: Art of Stat does NOT do confidence intervals for when the population standard deviation is known. You must use a TI Calculator with Z-interval OR the book calculator in section 8.2 <με c. How can we interpret the confidence interval from b. (Hint: there are actually two possible correct answers here.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Sources of Variation in Estimating Litter Characteristics of the Garter Snake, Thamnophis elegans by Daniel R. Farr and Patrick T. Gregory was published in the Journal of Herpetology (25, No. 3 (Sep., 1991), pp. 261-268). In this study, 31 random females were captured and bred. The mean litter size was 7.87 young. Assume that the population standard deviation of litter size in Garter Snakes is 2.0. a. Is it likely that the sample mean found above is exactly equal to the mean litter size of all Garter Snakes bred in captivity? OF yes O no Why or why not? Because we did the calculations correctly Because we only had 31 snakes and we are probably off the true mean ecause these are snakes in captivity Because litter size is a discrete variable Because we were told the population standard deviation Because of sampling error
Transcribed Image Text:Sources of Variation in Estimating Litter Characteristics of the Garter Snake, Thamnophis elegans by Daniel R. Farr and Patrick T. Gregory was published in the Journal of Herpetology (25, No. 3 (Sep., 1991), pp. 261-268). In this study, 31 random females were captured and bred. The mean litter size was 7.87 young. Assume that the population standard deviation of litter size in Garter Snakes is 2.0. a. Is it likely that the sample mean found above is exactly equal to the mean litter size of all Garter Snakes bred in captivity? OF yes O no Why or why not? Because we did the calculations correctly Because we only had 31 snakes and we are probably off the true mean ecause these are snakes in captivity Because litter size is a discrete variable Because we were told the population standard deviation Because of sampling error
OT probably off the true mean Because these are snakes in captivity Because litter size is a discrete variable Because we were told the population standard deviation Because of sampling error b. Calculate a 95% confidence interval for the mean number of young per litter for all Garter Snakes bred in captivity. (to 3 decimal places) Remember: Art of Stat does NOT do confidence intervals for when the population standard deviation is known. You must use a TI Calculator with Z-interval OR the book calculator in section 8.2 <μ< c. How can we interpret the confidence interval from b. (Hint: there are actually two possible correct answers here.) We can be 95% confident that these 31 garter snakes have a mean litter size in this interval. ● If 31 garter snakes bred in captivity were
Transcribed Image Text:OT probably off the true mean Because these are snakes in captivity Because litter size is a discrete variable Because we were told the population standard deviation Because of sampling error b. Calculate a 95% confidence interval for the mean number of young per litter for all Garter Snakes bred in captivity. (to 3 decimal places) Remember: Art of Stat does NOT do confidence intervals for when the population standard deviation is known. You must use a TI Calculator with Z-interval OR the book calculator in section 8.2 <μ< c. How can we interpret the confidence interval from b. (Hint: there are actually two possible correct answers here.) We can be 95% confident that these 31 garter snakes have a mean litter size in this interval. ● If 31 garter snakes bred in captivity were
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