Compute the standard scores for the values 0.49, 0.18,and 0.90. Interpret these scores. What conclusions can you make about these data values based on their standard scores

A psychology student conducted a study on using a chief executive​ officer's facial structure to predict a​ firm's financial performance. The facial​ width-to-height ratio​ (WHR) for each in a sample of 47 CEOs at publicly traded firms was determined. The sample resulted in x=2.23 and s=0.35. The student wants to predict the financial performance of a firm based on the value of the true mean facial WHR of CEOs. The student wants to use the value of μ=2.1. Do you recommend he use this​ value? Conduct a test of hypothesis for μ to help you answer the question. Specify all the elements of the​ test, including H0​, Ha​, test​ statistic, p-value, and your conclusion. Test at α=0.01.

Given a data point x, what does the z-score tell us about x?

A researcher believes there is a difference in the mean number of days before visible results begin to show among three types of facial creams that reduce wrinkle lines. Several consumers are randomly selected and given one of the three creams. Each participant then recorded the number of days it took to see results. The results are shown in the table. Based on these data, can you conclude that there is a difference between the mean number of days for these three creams? Use a 0.05 level of significance and assume the population distributions are approximately normal with equal population variances. Cream #1 20 20 14 17 15 Cream #2 13 15 15 11 13 Cream #3 14 18 15 16 17 10 Copy Data Step 1 of 2: Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places.

The sample data here is the cholesterol levels for 10 men diagnosed with high cholesterol. The first row represents levels from 10 men who did not use the drug and the second row from 10 different men who did use the drug. If we want to test the claim that the mean level for all men who use the drug is less than the mean for all men who do not use it, what is the appropriate alternative hypothesis?    The mean cholesterol level of males who take the medicine is higher than the mean cholesterol levels of men who do not take it.       There is a significant difference between males who use the medicine and men who do not use the drug in terms of mean cholesterol levels.       The mean cholesterol level of males who take the medicine is lower than the mean cholesterol levels of men who do not take it.       There is no significant difference between males who use the medicine and men who do not use the drug in terms of mean cholesterol levels.

A study was undertaken to see how accurate food labeling for calories on food that is considered reduced calorie. The group measured the amount of calories for each item of food and then found the percent difference between the measured and labeled amount of calories. The group also looked at food that was nationally advertised, regionally distributed, or locally prepared. Do the data indicate that at least one of the mean percent differences between the three groups is different from the others? The data summarized in the table below. National 3.15 Regional 36.75 Local Mean Standard Deviation Source Between Within 151 Total Fill in the hypotheses below: Ho: All the means are equal. Ha: At least one mean is different from the others. 7.4359 14.1558 SS 70.0204 Part 2 of 3 Complete the following ANOVA summary table (a 0.10). Round your answers to three decimal places, if necessary, and round any interim calculations to four decimal places. Sample Size df 20 12 8 MS - F P-value

Twelve inmates in a particular prison took part in an anger management class. Before it began, the median score on an anger control assessment of the group was 42 (out of a maximum of 60). After the six month class, the participants scores on the same assessment were 35, 41, 40, 44, 57, 36, 39, 47, 58, 39, 42, 39.   1. Construct a boxplot of the data and explain briefly why a sign test is appropriate to use in this case

The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The proportion of officers who are younger than 18 is 0.6. The table displays all possible samples of size 2 and the corresponding proportion for each sample. Using the proportions in the table, is the sample proportion an unbiased estimator? Yes, the sample proportions are calculated using samples from the population. Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion. No, 0.6 is not one of the possible sample proportions. No, 70% of the sample proportions are less than or equal to 0

Colleges announce an "average" SAT score for their entering freshmen. Usually the college would like this "average" to be as high as possible. A NewYork Times article noted, "Private colleges that buy lots of top students with merit scholarships prefer the mean, while open-enrollment public instituions like medians." Use what you know about the behavior of means and medians to explain these differences.

Thank you so much!