Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviation of 4 . Find the z-score for the given score on this dental anxiety scale. \( z_{0}=\square \) (Type an integer or a decimal.)

A population of values has a normal distribution with \( \mu=125.6 \) and \( \sigma=74 \). You intend to draw a random sample of size \( n=11 \). Find the probability that a single randomly selected value is less than 83.2 . \( P(x<83.2)= \) Find the probability that a sample of size \( n=11 \) is randomly selected with a mean less than 83.2 . \( P(\bar{x}<83.2)=0.0287 \quad \sigma^{8} \) Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact \( z \)-scores or \( z \) - scores rounded to 3 decimal places are accepted. Submit Question

Question 14 You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.56 . With \( H_{1}: \mathrm{p}>0.56 \) you obtain a test statistic of \( z=2.256 \). Use a normal distribution calculator and the test statistic to find the P-value accurate to 4 decimal places. It may be left-tailed, right-tailed, or 2 -tailed. P-value \( = \) Submit Question

examined is significantly less than 0.77 . Thus you are performing a left-tailed test. Your sample data produce the test statistic \( z=-2.924 \). Find the \( p \)-value accurate to 4 decimal places. \( p \)-value \( = \)

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

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.