Brand 1 Brand 2 7.9 10.1 7.4 9.3 5.7 8.8 4.5 6.4 7.2 6.2 9.6 5.3 6.8 7.5 7.4 5 6.9 4.9 6.6 6.8 6.1 9.5 9.8 6.4 7.2 8.3 5.7 8.6 7.5 7.9 7 6.1 7.1 8.3 5.7 8.9 5 8.2 4 8.4 7.9 7.1 6.8
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Using the given data sets
a.Conduct a hypothesis test at a significance level of 5% to see if there is a statistically significant difference in the average oil levels between Brand 1 and Brand 2.
b. If the manufacturers of brand 1 assert that their product has a higher average oil content than brand 2, test at the 5% level of significance, whether their claim can be supported by the sample evidence
Show the workings for the normal statistics terms such mean,standard deviation,variance,t-test,p-value using t statistical tables without using Python,Excel or any software
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- 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. State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There interaction between gender and age. H₁: There interaction between gender and age. Pulse Rates for Gender and Age C Under 30 Years of Age Over 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 Print Done DA 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 TINYTwo brands of batteries are tested, and their voltages are compared. The summary statistics follow. For sample 1, the sample size is 27; the population standard deviation is 0.3 volts and the mean is 9.2 volts. For sample 2, the sample size is 30; the population standard deviation is 0.1 volts and the mean is 8.8 volts. Is the mean of sample 1 smaller than the mean of sample 2? Using a significance level of 0.05. a) Identify the claim and state the hypotheses. b) What is the test statistics? Find the critical values (s). c) Make the decision to reject or not reject the null hypothesis and explain why. d) Graph your decision and include all the values. That is, the mean, the standard deviation, the critical value(s), the rejection region. e) Set up the formula with the correct numbers for the 95% confidence interval of the mean number of jobs.
- The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use ? = 0.10. State the null and alternative hypotheses. -H0: ?12 > ?22 Ha: ?12 ≤ ?22 -H0: ?12 ≠ ?22 Ha: ?12 = ?22 -H0: ?12 ≤ ?22 Ha: ?12 > ?22 -H0: ?12 = ?22 Ha: ?12 ≠ ?22 Find the value of the test statistic. (Round your answer to two decimal places.) statistic=?? Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = ?? State your conclusion. -Reject H0. We can conclude that there is a difference between the population variances. -Do not reject H0. We cannot conclude that…Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? Click the icon to view the data table of the nicotine amounts. Determine the null and alternative hypotheses. Ho H₁: an example Get more help - THI O BI acer *** Nicotine amounts (mg) to King-Size 100-mm Menthol Brand Nicotine (mg) Brand Nicotine (mg) 1 1 2 2 3 ^ 4 5 6 7 8 9 10 1.4 1.0 1.0 1.1 1.4 1.1 1.3 1.0 1.3 1.2 2 3 4 5 3 6 7 8 9 10 Print 1.1 0.9 1.1 0.8 1.2 1.4 0.9 1.2 1.4 0.8 100-mm Nonmenthol Brand Nicotine (mg) 1 2 Done 3 4 5 6- 8 9 10 0.9 1.1 0.5…Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
- 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 XScientists measured the amount of drug in tablets produced at two different, independent sites. Scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and Site 2. Run the appropriate test in Excel, assuming the population variances are equal. Use an a = .05 significance level. Submit the...Is this correct?
- Given 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?The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M's, Kit Kat, and Milky Way II. M&M's Kit Kat Milky Way II 240 235 200 210 205 208 220 245 202 250 215 190 240 230 180 Test for significant differences among the calorie content of these three candies. State the null and alternative hypotheses. O H: MedianMM - MedianK = Median Mw H: Median MM * MedianKK + MedianMw O Ho: MedianMM = MediankK = Median Mw H: Median MM > Median KK > MedianMw O H.: Not all populations of calories are identical. H: All populations of calories are identical. O Ho: All populations of calories are identical. H: Not all populations of calories are identical. O Ho: MedianMM * MedianKk + MedianMw 'MW H: MedianMM = Mediankk = MedianMw Find the value of the test statistic. (Round your answer to two decimal places.) 8.62 Find the p-value. (Round your answer to three decimal places.) p-value =.005 At a 0.05 level of significance, what is your…Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean. Identify the value of the test statistic. Source DF MS F Factor 3 13.500 4.500 5.17 0.011 Error 16 13.925 0.870 Total 19 27.425 Seleccione una: O A. 5.17 О В. 0.011 O C. 4.500 O D. 13.500