e. What is the value of the observed test statistic, t, associated with the hypothesis test?
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- A random sample of 49 statistics examinations was taken. The average score, in the sample, was 85 with a variance of 12.96. What is the 95% confidence interval for the average examination score of the population of the examinations? O 79.00 to 91.00 O 81.40 to 88.60 O 83.97 to 86.03 84.15 to 85.85A health psychologist knew that corporate executives in general have an average score of 2.55 with a standard deviation of 0.5 on a stress inventory and that the scores are normally distributed. In order to learn whether corporate executives who exercise regularly have different stress scores, the psychologist measured the stress of 30 exercising executives and found them to have a mean score of 2.76. a. Using the five steps of hypothesis testing, was the group of 30 exercising executives different from executives in general? (Use the .05 significance level.) Be sure to sketch the distributions involved. Be sure to fully state the five steps and show ALL calculations/work. b. Additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (Be sure your explanation includes a discussion of the…What is the proper statistical test use in this situation?
- A publishing company has developed a study guide (reference book) for GRE Math test. They want to test if this reference book does help students perform better on the test. The company recruited a random sample of students who are planning to take this test and let them use the new reference book. Their scores are listed below. Test the null hypothesis that the students' mean score is not different from the national average (at a significance level of .05) by answering the following questions. The national statistics indicates that the average score for the population is 68.5. Scores: 70, 68, 93, 78, 73, 99, 81, 79, 61 (1) Set up hypotheses ( (2) What is the df and the critical value for this test? ( (3) What is the standard error for this test? (4) What is the t_observed for this test? ( (5) Provide the decision and the interpretationResearchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 Difference Score (Di) (Di - Mdiff)2 1 22 22 0 2 32 34 -2 3 24 25 -1 4 28 30 -2 5 26 29 -3 What is the observed test statistic (i.e., tobs)? Round to 2 decimal places.Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. A researcher is interested in whether people who own red cars, blue cars, or silver cars receive more speeding tickets.
- N1=26 n2=13 Mean1=48 mean2=45 Standard deviation1=9,2 Standard deviation2=4,1 b) Construct a 95% confidence interval to test whether the two sample means differs. Interpret your answers. c) State the assumptions usedPlease help with A and BDr. Smith is examining the development of moral reasoning in children. Seven children (11-years old) are assessed three times over the year. The children are given moral reasoning scenarios. Higher scores indicate higher levels of moral reasoning. Time 1 Time 2 Time 3 5 6 10 4 7 9 8 8 9 7 9 7 6 5 10 3 5 7 2 2 4 Identify and calculate the appropriate test statistic.Make sure to report the degrees of freedom for the statistical test (if appropriate). State your conclusions (use a two-tailed test with a = .05 for all tests). Compute an effect size.
- A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.16, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.43, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 OSO H :0 D=0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.16. Fill in the blanks to describe a Type I error. A Type I error would be the hypothesis that…A criminologist was interested in whether there was any disparity in sentencing. She selected at random of 24 drug convictions for cocaine distribution and compared the prison terms given by two judges as below. Judge1 Judge2 7 5 7 6 6 4 5 5 2 5 5 5 7 4 6 6 5 5 7 5 10 4 7 5 From performing a hypothesis test to determine if judge1 differs from judge2 in the mean of sentence years, what is the p-value? (Round off to three decimal places if necessary)A telephone poll of 500 adult Americans was reported in an issue of Time Magazine. One of the questions asked was “What is the main problem facing the country?” Thirty percent answered “crime”. We are interested in the population proportion of adult Americans who feel that crime is the main problem. Define the random variables X and P’ in words. Which distribution should be used for this problem? Explain your choice. Construct a 97% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. i. State the confidence interval, ii. Sketch the graph, iii. Calculate the error bound 4. Suppose we want to lower the sampling error. What is one way to accomplish that?