Statistic practice quiz 2: An investigator hypothesizes that the mean IQ score of high school students in Japan is greater than 95. She administered an IQ test to 100 Japanese high school students and found that the sample mean, and standard deviation are x¯¯¯=101 and s=8.8. Please answer Questions 1 and 2 based on this information. Question 1Which of the following set of hypotheses is appropriate for proving the expert’s claim? H0: μ=101, H1: μ>101. H0: μ=101, H1: μ≠101.H0: μ=95, H1: μ>95. H0: μ=95, H1: μ≠95. H0: μ≠95, H1: μ=95. H0: μ>95, H1: μ=95. Question 2Which of the following is correct? This is a z-test and the test statistic are 6.82. This is a t-test and the test statistic are 6.82. This is a z-test and the test statistic are 68.2. This is a t-test and the test statistic are 1114.8. Question 3During production of a dosage form, a pharmaceutical company expects to have 5% of the tablets to be sub-potent (defect). However, the manager suspects that the defect rate is higher than expected. Thus, a hypothesis test is to be performed. In a sample of 100 tablets, 9 were sub-potent. Which of the following is correct? Note: BINOM.DIST(9,100,0.05, TRUE) =0.97, BINOM.DIST(9,100,0.09, TRUE) =0.59. Reject H0 at 1% significance level. Reject H0 at 5% significance level. Do not reject H0 at 5% significance level. Do not reject H0 at 10% significance level. Question 4Suppose that the systolic blood pressure of 20 women are measured, these women are given a blood pressure treatment and then one month later their blood pressure (BP) is measured. Let Δ=μ before−μ after denoting the population difference between BP before and after treatment. The sample mean and standard deviation of the difference are d¯¯¯=12.8 and s=3.4 respectively. Which of the following is correct about the hypothesis test for the difference in measurements? This is a two-sample t-test and the test statistic is 16.41. This is a two-sample t-test and the test statistic is 16.84. This is a paired sample t-test and the test statistic is 16.41. This is a paired sample t-test and the test statistic is 16.84. Question 5Which of the following is a necessary assumption for one-sample t-test for population mean? The sample comes from a normally distributed population.The sample comes from a t-distributed population.The population mean is not 0. One of Mendel’s breeding trials had the following results: It is hypothesized that the ratio of frequencies (smooth yellow: wrinkled yellow: smooth green: wrinkled green) is 9: 3: 3: 1. Please answer Questions 6 and 7 based on this information. Question 6 What is the degree of freedom for the test? 552432 Question 7 The test statistic can be calculated as X2=1.516. How many of the following statements is/are correct? Note: 1-CHISQ.DIST(1.516,4, TRUE) =0.82, 1-CHISQ.DIST(1.516,3, TRUE) =0.68,1-CHISQ.DIST(1.516,2, TRUE) =0.47, 1-CHISQ.DIST(1.516,552, TRUE) ≈1.00. (a) p-value = 0.68. (b) If significance level is 5%, we reject H0, and hence the ratio 9:3:3:1 is a poor fit to the data. (c) If significance level is 5%, we reject H0, and hence the ratio 9:3:3: is a good fit to the data. 0123 In a pharmacology study, mice of various age groups are administered a chemical proposed to induce sleep. After 30 minutes the animals are assessed to determine if they are asleep or awake. The purpose of the study is to determine if the agent is more likely to induce sleep in different age groups. A chi-square test of independence is carried out. The collected data are as follows: Please answer Questions 8, 9 and 10 based on this information. Question 8What is the degree of freedom of the test? 23456 Question 9Calculate the test statistic. 6.948.611066.968.6 Question 10 You obtained a p-value of 0.03. Assume 5% significance level. Which of the following is the most appropriate? Reject H1 and conclude that the age does influence the induction of sleep by this chemical. Reject H1 and conclude that the age does not influence the induction of sleep by this chemical.Reject H0 and conclude that the age does not influence the induction of sleep by this chemical.Reject H0 and conclude that the age does influence the induction of sleep by this chemical. Formula sheet is in next pages.

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