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1 A biologist studying a colony of beetles selects and weighs a random sample of 20 adult males. She knows that, because of natural variability, the weights of such beetles are normally distributed with standard deviation 0.2 g. Their weights, in grams, are as follows. 5.2 5.4 4.9 5.0 4.8 5.7 5.2 5.2 5.4 5.1 5.6 5.0 5.2 5.1 5.3 5.2 5.1 5.3 5.2 5.2 (i) Find the mean weight of the beetles in this sample. (ii) Find 95% confidence limits for the mean weight of such beetles.

1 A biologist studying a colony of beetles selects and weighs a random sample of 20 adult males. She knows that, because of natural variability, the weights of such beetles are normally distributed with standard deviation 0.2 g. Their weights, in grams, are as follows. 5.2 5.4 4.9 5.0 4.8 5.7 5.2 5.2 5.4 5.1 5.6 5.0 5.2 5.1 5.3 5.2 5.1 5.3 5.2 5.2 (i) Find the mean weight of the beetles in this sample. (ii) Find 95% confidence limits for the mean weight of such beetles.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1 A biologist studying a colony of beetles selects and weighs a random sample of 20 adult males. She knows that, because of natural variability, the weights of such beetles are normally distributed with standard deviation 0.2 g. Their weights, in grams, are as follows. 5.2 5.4 4.9 5.0 4.8 5.7 5.2 5.2 5.4 5.1 5.6 5.0 5.2 5.1 5.3 5.2 5.1 5.3 5.2 5.2 (i) Find the mean weight of the beetles in this sample. (ii) Find 95% confidence limits for the mean weight of such beetles.
Transcribed Image Text:1 A biologist studying a colony of beetles selects and weighs a random sample of 20 adult males. She knows that, because of natural variability, the weights of such beetles are normally distributed with standard deviation 0.2 g. Their weights, in grams, are as follows. 5.2 5.4 4.9 5.0 4.8 5.7 5.2 5.2 5.4 5.1 5.6 5.0 5.2 5.1 5.3 5.2 5.1 5.3 5.2 5.2 (i) Find the mean weight of the beetles in this sample. (ii) Find 95% confidence limits for the mean weight of such beetles.
1 (i) 5.205g (ii) 5.117g, 5.293 g
Transcribed Image Text:1 (i) 5.205g (ii) 5.117g, 5.293 g
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