Question

# Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with a...

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with a mean

μ=192 days and a standard deviation of σ=19 days. Complete parts (a) through (f) below.

(a) What is the probability that a randomly selected pregnancy lasts less than 185 days?

The probability that a randomly selected pregnancy lasts less than 185 days is approximately nothing. (Round to four decimal places as needed.)

Interpret this probability. Select the correct choice below and fill in the answer box within your choice.

(Round to the nearest integer as needed.)

A. If 100 pregnant individuals were selected independently from this population, we would expect ( ) nothing pregnancies to last more than 185 days.

B. If 100 pregnant individuals were selected independently from this population, we would expect ( ) nothing pregnancies to last exactly 185 days.

C. If 100 pregnant individuals were selected independently from this population, we would expect ( ) nothing pregnancies to last less than 185 days.

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x bar is ▼( skewed right, skewed left, normal) with mu Subscript x overbarμxequals=nothing and sigma Subscript x overbarσxequals=nothing. (Round to four decimal places as needed.)

If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last less than 185 days.

The sampling distribution of is with

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