Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively. 30, 31, 40, 40, 27, 32. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? Click here to view the chi-square distribution table The test statistic is (Round to three decimal places as needed.)
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- sanjaySuppose that you want to perform a hypothesis test based on a simple random paired sample to compare the means of two populations. For each part, decide whether you would use the paired t-test, the pairedWilcoxon signed-rank test, or neither of these tests. Preliminary data analyses of the sample of paired differences suggest that the distribution of the paired-difference variable is a. approximately normal.b. highly skewed; the sample size is 20.c. symmetric bimodalA university wanted to see whether there was a significant difference in age between its day staff and evening staff. A random sample of 35 staff members is selected from each group. The data are given below. Test the hypothesis that there is no difference in age between the two groups. Use a =0.05. Day Staff 22 24 24 23 19 19 23 22 18 21 21 18 18 25 29 24 23 22 22 21 20 20 20 27 17 19 18 21 20 23 26 30 25 21 25 Evening Staff 18 23 25 23 21 21 23 24 27 31 24 20 20 23 19 25 24 27 23 20 20 21 25 24 23 28 20 19 23 24 20 27 21 29 30
- Need C and DA researcher selects a sample of 6 men and 11 women. She asks participants to rate the likelihood they would do female-stereotyped jobs (such as nursing or school teaching) on a scale from 1 = not likely at all to 5 = very likely. Men indicated that they would be less likely to do these jobs (M = 2.1) compared with women (M = 4.3). What is the weighted mean for the combined sample of 17 total participants? O O 2.1 4.3 3.2 3.5Given that a-0.01%, find the Zeit if the hypothesis testing is a two tailed test. O a. Zcrit = 3.8906 and -3.8906 O b. Zerit 1.2816 and -1.2816 O c. Zcrit = 3.0902 and -3.0902 O d. Zcrit = 1.6449 and -1.6449
- A study was done using a treatment group and a placebo group. The results are shown in the table. 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. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁₂ The test statistic, t, is (Round to two decimal places as needed.) OB. Ho: H₁₂ H₁: H₁Test whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true? A B O E Neither the probability of a Type Il error nor the power of the test would change. Both the probability of a Type II error and the power of the test would decrease. Both the probability of a Type Il error and the power of the test would increase. The probability of a Type II error would decrease and the power of the test would increase. The probability of a Type Il error would increase and the power of the test would decrease.Consider the following table. Based on this data can you conclude that major and the gender are independent. Consider 0.05 level of significance. Write the null and alternate hypothesis and use the P-value and test statistics to conclude the claim. (round your expected frequency to closest whole number) Biology Business Engineering Mathematics Computer science Female 34 40 40 31 28 Male 41 36 34 25 38You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: of Cars in Each Lane Frequency Outcome Frequency Expected Frequency Lane 1 89 Lane 2 98 Lane 3 92 Lane 4 93 b. What is the correct statistical test to use? Select an answer Y C. What are the null and alternative hypotheses? Ho: OThe distribution of traffic is not uniform. O The traffic and lanes are independent. O The distribution of traffic is uniform. KO The traffic and lanes are dependent. Hi : OThe distribution of traffic is uniform. OThe traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is not uniform.-1 A.; B.; or C. ? 0 Z-distribution = 130 (approximately) 1 ABC + 2 3 Consider the figure above. A scientist tried performing an experiment with the following sample size: 3,5, and 20. Based from the figure, which of the following distribution is most likely for 20 sample size?Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman