Q. 1 Independent random samples of 15 mid-western and 14 southern households provided the following data for household vehicle miles of travel in thousands. Midwest South 16.2 12.9 17.3 22.2 19.2 9.3 14.6 18.6 10.8 24.6 20.2 15.8 11.2 16.6 16.6 18.0 12.2 20.1 24.4 20.3 20.9 16.0 17.5 18.2 9.6 15.1 18.3 22.8 11.5 At the 5% significance level, does there appear to be a difference in the mean for Midwestern and southern households? Note: X, = 16.23 = 4.06 x = 17.69 2 s, = 4.42 and K = .05 so 2°, n,= 15 X;=16.23 s,=4.06 ng= !4 7,= 17. 69 $2= de c42 Sp Step 1: H,:M,=Mq Hai M, #Mz step 2: d = step 3: t= sp df = n,t ngr2 Stef i4 : cnistical Valuue = ( Two-sided test) Step 5: Compare trst statistic to critical value 2o you rejeet Null or Do not veject Null ? Step 6: Write your conelusion below;

Listed below are times (in minutes and seconds) that a statistics instructor recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.10 significance level to test the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 Mile 2 Mile 3 3:18 3:25 3:31 3:14 3:30 3:31 3:15 3:25 3:35 3:20 3:26 3:28 3:16 3:24 3:27 First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. O B. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from populations with equal means. O C. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O D. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that…

Listed below are the lead concentrations in μ​g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 μ​g/g. Assume that the sample is a simple random sample.   13      15.5      3.5      8.5      17      18.5      8.5      19      9.5      20

The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: x1; n1 = 36 5.2 5.6 6.1 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.6 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5   (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1=s1=x2=s2= (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 99% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limitupper limit

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.)…

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.

12. The age of random sample of 40 people who attended a show at the fox. Theater are given below. Find the first, second, and third Quartile 20 26 31 34 39 45 50 62 20 29 31 35 40 47 51 63 23 30 32 35 40 49 51 66 23 30 33 37 40 49 54 69 26 30 34 38 42 49 57 72

team 1 9.11 9.22 9.5 9.62 9.68 9.59 team 2 9.7 9.8 9.8 9.81 9.85 team 3 9.88 9.89 9.9 9.9 9.9 10.01 9.85 team 4 9.91 9.91 9.94 9.95 team 5 9.96 9.96 9.96 9.97 9.98 Select the most diverse data. Is it statistically different at the 90% confidence level? Use the appropriate t-test