The lengths of a particular animal's pregnancies are approximately normally distributed, with mean \( \mu=257 \) days and standard deviation \( \sigma=20 \) days. (a) What proportion of pregnancies lasts more than 282 days? (b) What proportion of pregnancies lasts between 222 and 262 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 232 days? (d) A "very preterm" baby is one whose gestation period is less than 212 days. Are very preterm babies unusual?

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.18 . Thus you are performing a two-tailed test. Your sample data produce the test statistic \( z=-1.456 \). Find the \( p \)-value accurate to 4 decimal places.

Progress saved Done Question 12 You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.73. Thus you are performing a left-tailed test. Your sample data produce the test statistic \( z=-1.83 \). Find the p-value accurate to 4 decimal places. p-value \( = \) Submit Question

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.4 . Thus you are performing a two-tailed test. Your sample data produce the test statistic \( z=-1.346 \). Find the \( p \)-value accurate to 4 decimal places. p-value \( = \) Submit Question

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.82 . Thus you are performing a right-tailed test. Your sample data produce the test statistic \( z=1.195 \). Find the p-value accurate to 4 decimal places. p-value \( = \) Submit Question

Fill in the blank. In a we test the claim that different populations have the same proportions of some characteristics. McNemar's test Student t-test we test the claim that different populations have the same proportions of some characteristics test homogeneity