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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- 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 71.0 68.3 78.8 68.2 86.4 77.4 56.8 80.8 80.8 72.4 64.2 70.6 60.7 Flipped 75.5 70.5 64.3 71.5 78.0 93.2 79.5 76.2 82.4 70.4 91.6 77.2 76.9 The traditional course has a standard deviation of, while the "flipped" course has standard deviation of The traditional course has more dispersion. (Round to three decimal places as needed.)The data below represent US exports (in billions of dollars) to 18 countries in 2015 Canada 133.7 Mexico 56.8 Germany 23.5 Taiwan 18.4 Norway 16.6 China 12.0 Australia 12.0 Malaysia 8.5 Japan 67.5 UK 30.9 South Korea 26.6 France 14.4 Brazil 12.7 Belgium 12.5 Italy 8.8 Thailand 7.2 S.A 7.3 Austria 7.3 Find the mean and median. What is the most appropriate measure of central tendency for this sample? Why? Find the sum of squares, range, variance, and standard deviation for the sample. What is the z-score for the UK? What is the z-score for SA? What percent of the data falls between Saudi Arabia and Norway? What raw scores (two scores) correspond to the boundaries of the center 95% of the distribution?The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
- 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(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.
- Let X1, X2, X3, be a r. s. from normal distribution with mean 0 and variance 1, let the prior distribution of 0 is normal with mean zeroand variance 1. Let L(6,0) = (ô - 0). Find the Bayes estimator of 0Using 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.)A. What is the sample variance?B. What is the mode and kurtosis of the data C. In a box-and-whisker plot, what is the IQR?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…