The following random sample from some population is given: 2 6 4 2 6 6 4 4 4 Find the upper bound of the 90% confidence interval for the variance. 2 4 4 6 2
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- The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10. Summary Statistics: Work Study 12.942 Co-op Internship ANOVA Table: Source Between Within Mean Standard Deviation Total 14.145 15.452 SS 38.2855 df 112.5766 48 Work Study vs. Co-op 0.3246 Co-op vs. Internship 1.751 74.2911 46 1.615 Work Study vs. Internship 0.5053 MS F Sample Size 15 24 2 19.1428 11.8531 7.0E-5 10 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? P-value ? ? ?The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 =0.404 F19,16,0.025 = 0.386| F16,10,0.025 =0.335 F16,10,0.05 =0.401| F15,12,0.1 = 0.496 | F19,16,0.05 =0.451 F10,16,0.025 =0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 = 0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, 0.238 ] O c. [ 2.160 , 0.309 ] O d. [2.063 , 0.318]Two samples. each with n = 5 scores, have a pooled variance of 40. What is the estimated standard error for the sample mean uniference? how do i solve?
- A researcher takes sample temperatures in Fahrenheit of 16 days from San Francisco (Group 1) and 22 days from Atlanta (Group 2). Test the claim that the mean temperature in San Francisco is less than the mean temperature in Atlanta. Use a significance level of a = 0.10. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places. San Francisco 77.4 94.8 77 80.9 84 Ho: M₁ 73.4 84.9 92 60.6 83.6 92.5 76.3 93.4 87.2 81.5 70.4 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Atlanta 85.4 92.8 80.2 87.9 80.6 77.9 72.9 75.9 72.1 76.7 80.4 92.5 75.9 72.1 97.7 89.2 88.1 80 92.2 86 96.2 91.9 p-value H₁: M₁ Based on the hypotheses, find the following: Test Statistic = -0.635 X = 0.2494 × OH₂ The p-value is greater than alpha OF H₂ to alpha. The correct decision is to fail to reject the null hypothesis or The…The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 = 0.404 F 19,16,0.025 = 0.386 F16,10,0.025 =0.335| F16,10,0.05 =0.401 F15,12,0.1 =0.496 F19,16,0.05 =0.451 F10,16,0.025 = 0.286 F 12,15,0.05 =0.382 F16,19,0.025 = 0.371| F10,16,0.05 = 0.354 F12,15,0.1 =0.475 F16,19,0.05 = 0.437| Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, O0.238 ] O c. [ 2.160 , 0.309] O d. [2.063 , 0.318]A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of the study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 24 minutes 19 minutes 51 = 3.5 minutes 52 - 4.3 minutes ni = 30 n2 - 30 Which of the following is the correct value of the test statistic assuming that the unknown population variances are equal? Multiple Cholce Z = -4.94 tss = 4.94 Z = 4.94 t59 = -4.94
- A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10. Summary Statistics: Work Study 12.854 Co-op Internship ANOVA Table: Source Mean Standard Deviation Within Total 14.51 15.424 SS df 132.542 48 0.5487 Work Study vs. Co-op 1.8888 88.0834 46 1.9149 Work Study vs. Internship Co-op vs. Internship 0.449 MS Between 44.4586 2 22.2293 11.6086 8.3E-5 F -3.636 Sample Size Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Hint: Make sure to use Bonferroni's adjustment. -4.549 15 -1.755 24 10 P-value Test Statistic Adjusted P-value Statistically significant difference? 0.002 0.000…An independent-measures research project has two sample variances, 12 and 6. Calculate the F-Max test for this project. Your answer will be a whole number
- The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.05. Summary Statistics: Work Study 13.1693 Co-op Internship ANOVA Table: Source Mean Standard Deviation Within Total 14.7388 15.441 Between 36.3088 SS df 96.765 48 Work Study vs. Co-op 0.6288 Co-op vs. Internship 1.5401 60.4562 46 1.3143 Work Study vs. Internship 0.2019 MS F Sample Size 15 24 2 18.1544 13.813 2.0E-5 10 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? P-value ? ? ?Which of the following factors have each of the advantages listed when using analysis of variance? Multiple answers can be chosen. 1. Makes ANOVA more robust to departures from the assumption of normality. 2. Makes ANOVA more robust to departures from the assumption of equal variance. 3. Increases the power of the test. Options: Large sample size. Balanced design.An assembly line produces a tool. The parts are independently sampled one at a time and tested for compliance. Historically, 0.15 of the parts have been found to be non-compliant. What is the probability that the 6th sampled part will be the 3rd part found to be non-compliant?
