L Calcium is essential to tree growth. In 1990, the concentration of calcium in precipitation in Chautauqua, New York, was 0.11 milligram per liter \( \left(\frac{\mathrm{mg}}{\mathrm{L}}\right) \). A random sample of 8 precipitation dates in 2018 results in the following data: A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot does not show any outliers. Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the a \( =0.05 \) level of significance.

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 \( = \)

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

You are conducting a study to see if the proportion of voters who prefer Candidate \( A \) is significantly more than 0.13 . Thus you are performing a right-tailed test. Your sample data produce the test statistic \( z=1.354 \). Find the p-value accurate to 4 decimal places. \( p \)-value \( =\square \)

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

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