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...

Question and answer key1 A biologist studying a colony of beetles selects and weighs a random sample<br>of 20 adult males. She knows that, because of natural variability, the weights<br>of such beetles are normally distributed with standard deviation 0.2 g. Their<br>weights, in grams, are as follows.<br>5.2<br>5.4<br>4.9<br>5.0<br>4.8<br>5.7<br>5.2<br>5.2<br>5.4<br>5.1<br>5.6<br>5.0<br>5.2<br>5.1<br>5.3<br>5.2<br>5.1<br>5.3<br>5.2<br>5.2<br>(i) Find the mean weight of the beetles in this sample.<br>(ii) Find 95% confidence limits for the mean weight of such beetles.<br>

Extracted 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<br>(ii) 5.117g, 5.293 g<br>

Extracted text: 1 (i) 5.205g (ii) 5.117g, 5.293 g

Jun 09, 2022
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