The accompanying table gives the piece rates of pay for samples of workers in three different sewing shops. Test the hypothesis that the sample means are significantly different. Shop 1 Shop 2 Shop 3 2.30 2.00 1.65 2.35 1.80 1.90 2.25 2.15 1.85 2.00 2.10 1.80 1.75 1.95 1.95 1.90 2.10 1.75 2.40 2.00 1.90
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- There are three different ways I can go to work in the morning. I want to see if there is a difference in the distributions of travel-times between the three different ways. The sample data is depicted below. I claim there is a difference in mean travel times between the three different routes. I cannot guarantee that the distributions of these travel times are Normal. Travel Time in Minutes Interstate 22 22 21 23 22 21 Route 15 22 18 20 18 Back Roads 19 19 18 19 22 (a) Enter the rank values in the same order as in the original sample. Interstate Route 15 Back Roads (b) Give the value of the test statistic: (c) Test my claim at the 10% significance level.Enter the critical value: There is sufficient evidence to conclude that the population means are not equal.YesNo (d) Does your conclusion change at the 5% significance level?YesNo..... ..... ..... ..The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flipped" classroom. Complete parts (a) through (c) below. Traditional Flipped 71.6 68.3 79.7 68.2 80.5 72.3 63.9 81.1 64.1 73.3 70.6 90.4 76.6 71.5 76.0 81.6 86.3 79.1 56.1 70.1 60.4 78.4 92.9 78.9 77.8 75,8 *** (a) Which course has more dispersion in exam scores using the range as the measure of dispersion? The traditional course has a range of 30.2, while the "flipped" course has a range of 28.8. The traditional course has more dispersion. (Type integers or decimals. Do not round.) (b) Which course has more dispersion in exam scores using the sample standard deviation as the measure of dispersion? The range is now (Type an integer or a decimal. Do not round.) The traditional course has a standard deviation of 8.916, while the "flipped" course has a standard deviation of 7.692 The traditional course has more dispersion. (Round to three decimal places as needed.)…
- (b) What are the sample median annual salaries (in $) for the two professions? sample median = $ Public Accountants Financial Planners sample median = $The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% Observed Number of Households in the Community 106 112 37 91 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution.Туре Freq. 11.15 A theory says that in a certain population, half the objects are of type A and the remainder are evenly divided among three types, B, C, and D. A random sample from the population breaks down as shown in the table at right. Does the data show 25 13 8. a statistically significant departure from what the theory predicts? Test using a = .05. ABCD
- Using the sample dataset below reflecting the electricity bills for ten households in Berlin, Germany in January, €118.20 €67.88 €133.40 €88.42 €110.34 €76.90 €144.56 €127.89 €89.34 €129.10 Calculate the three measures of central tendency for this data sample. Based on the results and using a boxplot determine whether the sample data is skewed. Also, identify if there are any outliers.The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flipped" classroom. Complete parts (a) through (c) below. Traditional 69.9 69.6 78.7 67,6 84.7 78.5 56.3 80.2 81.9 71.0 64.4 70.2 59.0 Flipped 77.5 72.5 62.7 72.6 76.9 90.4 79.6 77.4 81.9 70.5 91.3 77.8 75.7 (a) Which course has more dispersion in exam scores using the range as the measure of dispersion? The traditional course has a range of 28.4 , while the "flipped" course has a range of 28.6. The flipped course has more dispersion. (Type integers or decimals. Do not round.) (b) Which course has more dispersion in exam scores using the sample standard deviation as the measure of dispersion? The traditional course has a standard deviation of, while the "flipped" course has a standard deviation of The V course has more dispersion. (Round to three decimal places as needed.)
- Find the mean, median, and mode for a random sample of eight U.S. corporations with the following percentage changes in earnings per share in the current year compared with the previous year: 0% 0% 8.1% 13.6% 19.4% 20.7% 10.0% 14.2%The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Private Colleges 51.8 42.2 45.0 33.3 43.0 30.6 44.8 36.8 49.5 42.0 Public Colleges 20.3 22.0 28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places.) sample mean$ thousandsample standard deviation$ thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.) sample mean$ thousandsample standard deviation$ thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population…