Two-sample t-tést, independent groupS Listening Group Reading Group 10 15 10 12 7 13 12 11 8 10 8. 9. 10 11 10 11 11
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- A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 4949 women over the age of 50 used the new cream for 6 months. Of those 4949 women, 3333 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 6060% of women over the age of 50? Test using ?=0.05α=0.05. test statistics ?=z= rejection region ?>z>A test of body reaction to the Malaysian citizens who have taken their vaccine was conducted.Selected citizens who got side effect are categorised according to their blood type and the typeof vaccine received. From a sample of 250 citizens, 150 of them were administered withSinovac while the rest received AstraZeneca. Table 4 shows the number of citizens who hadside effect after being vaccinated. i) Complete Table 4 by finding the values of M and N. ii) Does different blood type among people who had side effect relate to the type of vaccinereceived at a=0.025?It is of interest to determine if the average drying time of a certain brand of latex paint is not 4.5 hours. To do this, 15 cans of the branded latex paint were selected. Normality test of drying time of the branded latex paint: Shapiro-Wilk normality test data: drying time W = 0.9691, p-value = 0.1396 Which of the following is the most appropriate test to use to determine if the average drying time of a certain brand of latex paint is not 4.5 hours? Choices: A. Approximate Z-test on one population proportion B. Wilcoxon signed-rank test C. t-test on one population mean D. Chi-square test on variance
- 1. CT composite scores are normally distributed with a μ = 21. A sample of 25students is randomly selected from a local high school with an X = 23 and s = 5.2. Dothe data support the claim that the average ACT composite score of students from thishigh school is different than 21 on the ACT composite score, using α = .05?The table below summarizes a data set we first encountered in Exercise 6.29 that examines the responses of a random sample of college graduates and nongraduates on the topic of oil drilling. Complete a chi-square test for these data to check whether there is a statistically significant difference in responses from college graduates and non-graduates. χ2:? df:? Conclusion: There is insufficient evidence that there is an association between support for off-shore drilling and having a college degree There is strong evidence that the proportion of those supporting off-shore drilling is greater than those having a college degree There is insufficient evidence that the proportion of those supporting off-shore drilling is greater than those having a college degree There is strong evidence that there is an association between support for off-shore drilling and having a college degreeThe Office of the university registrar would like to know if such degree programs are related to the gender of the students. The test claim that the proportions of the students enrolled are equal in each degree program at alpha=0.10 Using the data on the number of currently enrolled students in each gender (M of F) in each of the four degree programs, find the: a. Table showing the observed and expected values b. Chi-square critical Value c. Chi-square test statistic d. Accept or Reject the null hypothesis?
- In a test of Ho: µ = 85 against Ha: u > 85, the sample data yield the sample statistic z = 1.64. Find the p-value for the test. Compute it manually, not excel.It is of interest to determine if the average drying time of a certain brand of latex paint is not 4.5 hours. To do this, 15 cans of the branded latex paint were selected. Normality test of drying time of the branded latex paint: Shapiro-Wilk normality test data: drying time W = 0.9691, p-value = 0.1396 Which of the following is(are) TRUE at 5% level of significance? I. The assumption on the normality of drying time of the branded latex paint is NOT SATISFIED. II. To determine if the average drying time of a certain brand of latex paint is not 4.5 hours, a NONPARAMETRIC TEST is more appropriate to use than a parametric test. Choices: I only, II only, Both I and II, Neither I nor IIAssume that MLR1-6 hold. We can say that the coefficient is statistically significant at the 5% level if the t-statistic is less than -2 and the degrees of freedom are larger than 60. True False
- 8. It is claimed by an advertisement that 4 out of 5 kids have energy gap. To test this, a random sample of 250 children were tested if they experienced this `energy gap.' It was found out that 202 of them is experiencing it. Which among the values is the critical regions applicable for the test? Use 0.05 level of significance. a. z > 1.96 and z < -1.96 b. z < 1.96 and z > -1.96 c. z < -1.645 d. z > 1.645A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 66 women over the age of 50 used the new cream for 6 months. Of those 66 women, 43 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 60% of women over the age of 50? Test using α=0.05. test statistics z= rejection region z>: The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p=0.6. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 60% of women over 50.B. We can reject the null hypothesis that p=0.6 and accept that p>0.6. That is, the cream can improve the skin of more than 60% of women over 50.A random sample of data has a mean of 75 and a variance of 25.a. Use Chebyshev’s theorem to determine the percent of observations between 65 and 85.b. If the data are mounded, use the empirical rule to find the approximate percent of observations between 65 and 85.