A researcher conducts an independent-samples t test comparing two group means of 11.3 and 12.7. She also obtains values of 2.2 for sdifference 4.64 for pooled variance, and 40 for degrees of freedom total. What is the value of the test statistic? -0.64 -0.30 -0.035 -0.12
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- Say we were testing the effects of taking calcium on bone density levels and obtained a positive and significant value for our independent t test result. What would you write (using APA format) when performing a percentage of variance explained test on the data and received a value of r2=.38.Under what conditions should you use the pooled-variance t test to examine possible differences in the means of two independent populations?A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank's claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. Sample statistics for a local bank and a competitor's bank Local Bank Competitor Bank Sample size n1 = 46 n2 = 50 Average waiting time in minutes for each sample X, = 2.3 mins. X2 = 2.6 Sample Standard Deviation of each Sample = 1.1 mins 1.0 mins. S1 S2 1. Are the samples dependent or independent? 2. State your Null/Alternative hypotheses 3. What is the test-statistic? 4. What is the p-value? 5. What are the critical values? 6. Does the test-statistic lie in the rejection region? 7. Interpret the Result? Does the result change for a different value of alpha? Explain?
- A two-sample hypothesis test is comparing the averages of the following populations. Population 1 is the salary of female employees and Population 2 is the salary of male employees. A hypothesis test was conducted to see if the average salary of males is greater than the average salary of females. Using the following as the output of the test, state the P-value and interpret the results in context to the problem. Use a significance level of 5% Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Females Males 65,852.00 89,562.00 1,003.00 1,025.00 45 30 0 37 -1.26 0.1200 1.3300 0.2400 1.2800 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt EEVA V Tx XQ5 二 三 ||||| WORDS POWERED BY TINYYou work for a soft-drink company in the quality control division. You are interested in the variance of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the variance to be as low as possible. You gather a random sample of 16 containers. Estimate the population variance at a 80% level of confidence. 11.82 11.83 11.85 11.89 11.9 11.97 12 12 12 12.01 12.02 12.04 12.05 12.11 12.16 12.18 Variance of Data: 0.012 Note: Round all values to 3 decimals and use those rounded values in subsequent calculations. a) Find the lower and upper x critical values at 80% confidence: Lower: Upper: b) Report your confidence interval for o?: Lower Bound: Upper Bound:(a) Perform the analysis of variance (ANOVA) at the 5% significance level to identify is there any difference in the mean between the three populations. 1 2 3 94 71 84 96 82 87 87 87 93 89
- how to find the Variance for CBT and variance for BT,show step by step pleaseWhat are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2Another idea is to look at how a team's payroll impacts its home attendance. Higher payroll usually signals more higher-skilled players on a roster which should brings fans to the ballpark to see these players. Create 2 samples based on Team Salary and calculate average attendance, variance of attendance, and standard deviation of attendance for each sample. Sample 1 = 10 teams with the highest team salary Sample 2 = 10 teams with the lowest team salary Tip: Use Excel's sorting tool to sort the data by salary (highest to lowest), and copy the 10 highest and 10 lowest into a separate part of the spreadsheet for easier analysis. Sample 1 Sample 2 Top 10 Team Salary Bottom 10 Team Salary Sample mean attendance mil mil Sample attendance variance mil mil Sample attendance standard deviation mil mil Perform a hypothesis test to determine whether there is a difference in the mean attendance of teams between the two groups…
- The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? Click on the icon to view the data table. C State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There is no interaction between gender and age. H₁: There is an interaction between gender and age. What is the value of the test statistic for this test? F = 3.32 (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this P-value= (Round to three decimal places as needed.) Pulse Rates for Gender and Age Over 30 Years of Age Under 30 Years of Age Female 78 103 78 63 61 98 81 98 91 95 77 75 73 65 71 78 61 71 74 55 Female Male 60 81 56 69 68 74 75 68 63 56 46 70 61 65 91 80 59 58 64 59 Male D XGiven below are the analysis of variance results from a stat software display comparing sample data for the meanmileage for 4 different types of cars. Assume that you want to use a 0.05 significance level in testing the null hypothesisthat the different samples come from cars with the same mileage. What can you conclude about the equality of the population means?Source DF SS MS F pFactor 3 13.500 4.500 5.17 0.011Error 16 13.925 0.870Total 19 27.425 12)What is the null and alternative hypothesis for this scenari?Based on this One Way Anova software analysis, would you reject of fail to reject the nul hypothesis?What does this result mean in context?Perform an analysis of variance (ANOVA) to determine if the differences in the percentage butterfat of the different breeds of cows is statistically significant. Guernsey Jersey Holstein 4.51 4.59 3.43 5.26 6.67 3.68 5.81 5.39 3.72 5.14 4.38 3.76 4.55 4.99 4.43 4.86 5.49 3.84 4.69 5.43 3.54 4.12 5.02 4.18 5.44 5.16 3.4 4.69 5.15 3.77 5.24 5.76 4.03 4.62 5.34 3.63 4.61 5.11 3.37 5.02 4.75 3.54 4.67 5.07 3.64 4.59 4.42 3.98 4.92 6.13 5.58 4.6 5.6 5.83 1. Compute the treatment sum of squares (SSTr) and the error sum of squares (SSE) and use them to complete the following ANOVA table. (Round your answers to 4 decimal places). Source S.S. df M.S. F Treatment Error Total 2. Compute the p-value. (Round your answer to 4 decimal places.)p-value =