Performing a One-Way ANOVA Test In Exercises 5−14, (a) identify the claim and state H0 and Ha. (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are
10. Cost Per Mile The table shows the costs per mile (in cents) for a sample of automobiles. At a = 0.01, can you conclude that at least one mean cost per mile is different from the others? (Adapted from American Automobile Association)
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Chapter 10 Solutions
MYLAB STATISTICS: ELEMENTARY STATISTICS
- Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?arrow_forwardWhat is meant by the sample space of an experiment?arrow_forward(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.arrow_forward
- Conduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > p3. The sample data are x, = 116, n, = 259, x, = 133, and n, = 312. (a) Choose the correct null and alternative hypotheses below. O A. Ho: P, = 0 versus H,: p, #0 O B. Ho: P, =p, versus H,: p, P2 O D. Ho: p, =p2 versus H,: p, #P2 b) Determine the test statistic. (Round to two decimal places as needed.) c) Determine the P-value. The P-value is Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion U Do not reject the null hypothesis. O Reject the null hypothesis. Click to select your answer and then click Check Answer. 3 parts remaining Clear All Check Answer 10:26 AM Links 12/20/2020arrow_forwardConduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, = 121, n, = 259, x, = 140, and n, = 313. (a) Choose the correct null and alternative hypotheses below. O A. Ho: P1 = P2 versus H,: P1 P2 O B. Ho: P1 = P2 versus H,: p1 > P2 O C. Ho: P1 = P2 versus H,:P1 p2. O B. Reject the null hypothesis because there is sufficient evidence to conclude that p, < p,. OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, + p2. O D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p,arrow_forwardConduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, >P2. The sample data are x, = 120, n, = 249, x, = 137, and n, = 312. (a) Choose the correct null and alternative hypotheses below. O A. Ho: P1 = P2 versus H,: P1 #P2 O B. Ho: P1 = P2 versus H,: P1 P2 O D. Ho: P, = 0 versus H,: p, #0 (b) Determine the test statistic. Z, = (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is. (Round to three decimal places as needed.) What is the result of this hypothesis test? O A. Reject the null hypothesis because there is sufficient evidence to conclude that p, p2. OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, # p2. O D. Do not reject the null hypothesis because there is not sufficient evidence to…arrow_forwardConduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > p3. The sample data are x, = 125, n, = 251, x, = 135, and n, = 312. (a) Choose the correct null and alternative hypotheses below. (b) Determine the test statistic. Zo = (Round to two decimal places as needed.) O A. Ho: p, =p, versus H,: p, > P2 O B. Ho: p, =0 versus H,: p, #0 Test the null hypothesis. Choose the correct conclusion (c) Determine the P-value. The P-value is O C. Ho: P, =p2 versus H,: p,arrow_forwardTreatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Using a 0.05 significance level, test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. H2 In 25 25 0.52 0.46 S 0.75 1.43 What are the null and alternative hypotheses? O A. Ho: H1 H2 O D. Ho: H1 # H2 H1: 41arrow_forwardConduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > p2. The sample data are x, = 117, n, = 255, x2 = 131, and n, = 301. (a) Choose the correct null and alternative hypotheses below. (b) Determine the test statistic. O A. Ho: P, =p, versus H,: p, > P2 Zo = (Round to two decimal places as needed.) O B. Ho: p, =0 versus H,: p, #0 Test the null hypothesis. Choose the correct conclusion (c) Determine the P-value. The P-value is O C. Ho: P, =p, versus H,: p,arrow_forwardConduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > p2. The sample data are x, = 117, n, = 255, x2 = 131, and n, = 301. (a) Choose the correct null and alternative hypotheses below. (b) The test statistic z, is (Round to two decimal places as needed.) O A. Ho: P, =p, versus H,: p, > P2 (c) The critical values are + (Round to three decimal places as needed.) O B. Ho: p, =0 versus H,: p, #0 Test the null hypothesis. Choose the correct conclusion below. O C. Ho: P, =p, versus H,: p,arrow_forwardConduct a test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, = 123, n, = 244, x2 = 138, and n, = 303. (a) Choose the correct null and alternative hypotheses below. O A. Ho: P1 = 0 versus H,: P1 # 0 O B. Ho: P1 = P2 versus H,:P, P2 O D. Ho: P1 = P2 versus H,: p1 # P2 (b) Determine the test statistic. Zo = 1.13 (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is 0.129. (Round to three decimal places as needed.) What is the result of this hypothesis test? O A. Reject the null hypothesis because there is sufficient evidence to conclude that p, P2-arrow_forwardRandom selection of two independent samples of sizes n1= 12 and n2 = 12 are given. Which procedure should be applied to perform a hypothesis test to compare the means of the two populations from which the data were obtained.arrow_forwardarrow_back_iosarrow_forward_iosRecommended textbooks for you
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