Question

3. In general, the weights of adult male siberian tigers is normally distributed with a mean of 380 pounds and a standard deviation of 15 pounds.

(a) Based on those values, what is the probability that a random tiger would weigh less than 370 pounds?

(b) Now suppose that the following list contains the weight in pounds of ten randomly selected adult male siberian tigers. (389, 392, 385, 394, 388, 379, 392, 390, 388, 382) What is the sample mean and sample standard deviation?

(c) If the theoretical values were correct, what would be the expected value of the sample mean? What would be the expected variance?

(d) Based on this sample information, create a 95% confidence interval for the mean weight.

(e) Show that, in general, the sample mean is an unbiased estimator for the population mean.

Answer #1

Roger has read a report that the weights of adult male Siberian
tigers have a distribution which is approximately normal with mean
of 390 Ib. and standard deviation of 65 Ib. Find the probability
that a random sample of 4 male Siberian tigers will have
sample mean weight more than 450 Ib.

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(inches)
(pounds)
(pounds)
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191
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