Data Set 37 "Cola Weights and Volumes" in Appendix B includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are n=36, x =12.19 oz, s = 0.11 oz. Use a 0.05 significance level to test the claim that cans of Coke have a mean volume of 12.00 ounces. Does it appear that consumers are being cheated?
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- Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence to conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u. 2 Ha represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H.. Ho: H - X Cost of batteries by type The claim the V hypothesis. Group size 35 Group size 65 Group size 24/ 24F 91 99 111 119 126 O 91 144 174 180 278 79 84 126 140 140 (b) Find the critical value, Fo. and identify the rejection region. The rejection region is F Fo, where Fo- (Round to two decimal places as needed.) (c) Find the test statistic F. F= (Round to two decimal places as…Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 30 20 5 25 59 10 25 16 2 24 19 4 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (a) What is the level of significance?State the null and alternate hypotheses. Ho: ?1 = ?2 = ?3; H1: Exactly two means are equal.Ho: ?1 = ?2 = ?3; H1: At least two means are equal. Ho: ?1 = ?2 = ?3; H1: All three means are different.Ho: ?1 = ?2 = ?3; H1: Not all the means are equal. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.)…Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
- Use the data on student load. to test the claim that mean student load is more than 6.5 units. Use α = 0.10. Assume all requirements have been met. Student Unit Load 3, 12, 6, 9, 6, 12, 15, 12, 7, 9, 3 Test the claim that mean student load is more than 6.5 units. Use α = 0.10. Assume all requirements have been met.Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 35 17 2 30 53 6 20 19 2 26 19 8 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: μ1 = μ2 = μ3; H1: All three means are different.Ho: μ1 = μ2 = μ3; H1: Exactly two means are equal. Ho: μ1 = μ2 = μ3; H1: Not all the means are equal.Ho: μ1 = μ2 = μ3; H1: At least two means are equal. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.)…The EPA tests cars for city miles per gallon (mpg). For one model, a sample of 16 cars were tested for mpg, the results follow. 28 25.7 25.8 28 28.5 29.8 30.2 30.4 26.9 28.3 29.8 27.2 26.7 27.7 29.5 28 1) What is point estimate of the mean mpg?
- Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region C have the highest mean, can we conclude that brown rice from region C poses the greatest health problem? view the data table of the arsenic amounts. Arsenic Amounts (micrograms) A 4.9 4.9 4.9 5.2 5.3 5.5 5.6 5.7 5.8 5.9 6.1 6.3 B 2.3 3.6 4.5 4.6 4.8 4.8 4.8 5.1 5.1 5.4 5.4 5.5 C 5.7 5.7 6.7 6.9 7.1 7.2 7.2 7.3 7.3 7.4 7.5 7.6 What are the hypotheses to test? H0: mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 H1: At least one…the dataset provides information on temperature change in some provinces from china. Analyze it using SPSS and conduct any testsAn article reported on a long-term study of the effects of hurricanes on tropical streams of a forest. The study shows that a hurricane had a significant impact on stream water chemistry. The following shows a sample of 10 ammonia fluxes in the first year after the hurricane. Data are in kilograms per hectare per year. Complete parts (a) through (c) below. 99 85 147 147 177 116 57 57 89 156 D a. Find the mean. The mean is. (Type an integer or decimal rounded to one decimal place as needed.) b. Find the median. The median is (Type an integer or decimal rounded to one decimal place as needed.) c. Find the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The mode(s) is(are) (Use a comma o separate answers as needed.) O B. There is no mode.
- According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.2, 0, 0, 0, 3.2, 3.2, 1.1, 0.8, 0.5, 1.3, 3.5 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: Select an answer O H1: Select an answer O c. The test statistic ? 0 = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? e a f. Based on this, we should Select an answer e the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence…The 2018 General Social Survey contains information on the number of 1F poor mental health days adults in the US had in the last month. The data arę below. Calculate the standard error of the mean number of poor health days for females. Table 1. Mean number of poor mental health days in the last 30 days by sex Male Female Total Mean S.D. 3.55 6.78 1408 3.02 4.06 6.43 7.07 678 730 Source GSS 2018 Your answerWhere are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Brush Sagebrush Grassland Pinon Juniper 33 18 10 27 57 4 22 18 2 29 26 13 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 2 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom? (numerator) (denominator) Make a summary table for your ANOVA test. Source ofVariation Sum ofSquares Degrees ofFreedom MS…