Reject HO 0.009
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The graph portrays the decision criterion for a hypothesis test for a population mean. The null hypothesis is Ho: u = u0. The curve is the normal curve for the test statistic under the assumption that the null hypothesis is true. A graphical display of the decision criterion follows. Determine the critical value(s). Graph is attached
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- Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each exercise, we have given the distribution shape of the variable under consideration. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. Explain your answers. Symmetric bimodalConduct a realted-sample t-test using the following data set. Each row represents a pairof scores A B 18 4 35 40 31 14 30 18 40 30 25 27 11 17 30 18 28 12 20 20 determine critical values (for an alpha of .05) that you should use to evaluate this t-score and compute r^2 for this test.An article reported that 73% of companies have Twitter accounts. An economist thinks the percentage is lower at technology companies. She samples 7 technology companies and finds that 46 of them have Twitter accounts. Can she conclude that less than 73% of technology companies have Twitter accounts? Use the a =0.05 level of significance with the p-value method and Excel. find z value find p value find t value find critical value reject or not reject state conclusion
- A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each exercise, we have given the distribution shape of the variable under consideration. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. Explain your answers. NormalYou want to determine if diet impacts body weight. You recruit 60 subjects, assigning 20 each to either one of two dietary interventions or to maintain their normal diet. You measure body weight before and after the intervention and calculate the change in body weight (post minus pre weights). To determine the diet effect on the calculated change in body weight, you would use a .Assume all assumptions are met for a parametric test. Factorial ANOVA One-way repeated measures ANOVA O Factorial repeated measures ANOVA One-way ANOVA
- The graph portrays the decision criterion for a hypothesis test for a population mean. The null hypothesis is H:u=µ. The curve is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. do 0.9 Do not reject H Reject H, 0.8- 0.7- 0.6- 05- 04 0.3- 0.2- 0.1- !0.014 -059 0.59 L18 137 236 295 3.54 2.197 Determine the rejection region. O0.014 02.197 O All z-scores that lie to the right of 2.197 OAll 2-scores that lie to the left of 2.197Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, u, spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? ? v when, in v the hypothesis that u is? v? v. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be…Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, µ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 15 minutes. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? Hiµ is ? H: p is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? the hypothesis that u is when, in Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making?
- The data in personalities is bivariate normally distributed Carry out a formal t-test for the association between extroversion and neuroticism in personalities H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? Carry out a formal t-test for the association between extroversion and neuroticism in personalities. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the critical value of the t-statistic required to reject the null hypothesis at a confidence level of 0.05Assume that a high school principal believes that high number of absences hinders the students' ability to perform on standardized tests. He randomly selects a sample of 9 students who had 5 or more absences in the school year. The average ACT Composite score for this sample is X = 19 with s = 4.9. ACT Composite scores are normally distributed with u = 21.0. Do the data support the claim that the high number of absences hinders the students' ability to perform on standardized tests, using a = .05? Please show the four-step hypothesis test. %3DFor the given scenario, determine the type of error that was made if any.(begin by determining the null and alternative hypothesis). A new whitening toothpaste advertises for shades as the mean number of shades the toothpaste whitens your teeth. One user claims that the mean number of shades the toothpaste whitens your teeth is different from four shades. The user conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean number of shades the two piece white is your teeth is for shade. Was an error made? If so, what type? A, B, C? A.Yes; type 2 error B.Yes; type 1 error C.No; correct decision