statistics

The frequency distribution shows the results of 200 test scores. Are the test scores normally distributed? Use a= 0.01. Complete parts (a) through (e) Class boundaries 49 5-58.5 58.5-67.5 67.5-76.5 76.5-85.5 85.5-945 Frequency, f 20 Using a chi-square goodness-of-fit test, you can decide, with some degree of certainty, whether a variable is normally distributed. In all chi-square tests for normality, the null and alternative hypotheses are as follows. Ho: The test scores have a normal distribution. Ha: The test scores do not have a normal distribution. To determine the expected frequencies when performing a chi-square test for normality, first find the mean and standard deviation of the frequency distribution. Then, use the mean and standard deviation to compute the z-score for each class boundary. Then, use the z-scores to calculate the area under the standard normal curve for each class. Multiplying the resulting class areas by the sample size yields the expected frequency for each class. (a) Find the expected frequencies. Class boundaries 49.5-58.5 58.5 67.5 67 5-76.5 76.5-85.5 85.5-94 5 Frequency, f 60 33 Expected frequency (Round to the nearest integer as needed.)