Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure.   Women Men 71.0 70.0 94.0 64.0 79.0 67.0 65.0 60.0 73.0 63.0 79.0 71.0 58.0 58.0 51.0 40.0 71.0 67.0 87.0 66.0 67.0 82.0 60.0 74.0 73.0 55.0 61.0 75.0 67.0 52.0 89.0 91.0 57.0 77.0 83.0 81.0 69.0 61.0 62.0 73.0 71.0 80.0 71.0 102.0 89.0 61.0 69.0 79.0 67.0 73.0 67.0 83.0 71.0 65.0 82.0 67.0 75.0 56.0 91.0 85.0 61.0 78.0 69.0 56.0 76.0 63.0 90.0 65.0 86.0 71.0 60.0 48.0 78.0 65.0 83.0 77.0 78.0 74.0 83.0 53.0 77.0 69.0 59.0 63.0 64.0 69.0 76.0 78.0 61.0 71.0 69.0 75.0 65.0 66.0 55.0 89.0 67.0 67.0 71.0 75.0 64.0 48.0 71.0 87.0 77.0 89.0 66.0 68.0 83.0 72.0 60.0 66.0 94.0 75.0 57.0 89.0 75.0 55.0 75.0 91.0 58.0 83.0 77.0 88.0 65.0 94.0 93.0 88.0 46.0 87.0 46.0 102.0 65.0 71.0 70.0 81.0 57.0 69.0 70.0 63.0 65.0 65.0 71.0 69.0 70.0 69.0 65.0 53.0 75.0 76.0 64.0 63.0 71.0 80.0 57.0 91.0 58.0 79.0 79.0 88.0 72.0 65.0 71.0 71.0 64.0 79.0 67.0 75.0 85.0 57.0 55.0 65.0 76.0 84.0 73.0 73.0 51.0 68.0 89.0 68.0 58.0 69.0 81.0 73.0 81.0 73.0 76.0 68.0 65.0 78.0 71.0 68.0 62.0 51.0 87.0 65.0 56.0 73.0 75.0 66.0 76.0 77.0 90.0 53.0 65.0 53.0 69.0 66.0 80.0 85.0 42.0 85.0 73.0 72.0 71.0 80.0 46.0 69.0 71.0 56.0 88.0 85.0 77.0 83.0 69.0 58.0 68.0 68.0 71.0 63.0 79.0 66.0 65.0 72.0 97.0 64.0 67.0 65.0 72.0 79.0 62.0 86.0 67.0 76.0 69.0 95.0 74.0 96.0 59.0 75.0 69.0 79.0 55.0 75.0 55.0 55.0 71.0 77.0 68.0 73.0 74.0 51.0 77.0 75.0 40.0 81.0 72.0 67.0 57.0 82.0 68.0 73.0 80.0 82.0 65.0 53.0 73.0 83.0 64.0 98.0 66.0 68.0 56.0 68.0 95.0 68.0 71.0 71.0 63.0 46.0 84.0 57.0 54.0 50.0          67.0          44.0          81.0          61.0          74.0          70.0

Select all true statements below (Multiple or none can be true). With a large, representative sample, the histogram of the sample data will follow the normal curve closely. If two lists of numbers have exactly the same average of 50 and SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists. Half of a list of numbers is always below its average. The median and average of a list of numbers are not necessarily close together.

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 71 miles per​ hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 61 miles per hour and 81 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)   Approximately ________ ​% of vehicles travel between 61 miles per hour and 81 miles per hour.

Consider a set of data in which the sample mean is 27 and the sample standard deviation is 6.2. Calculate the z-score given that x = 28.5. Round your answer to two decimal places. An

Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.10 to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds).   a. Identify the test statistic. t equals ​(Round to two decimal places as​ needed.)   b. Identify the​ P-value. ​P-value equals ​(Round to three decimal places as​ needed.)

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.

Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds).   LOADING... Click the icon to view the data. In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis​ test?     A. H0​: μd≠0 H1​: μd>0   B. H0​: μd=0 H1​: μd<0   C. H0​: μd=0 H1​: μd≠0   D. H0​: μd≠0 H1​:  μd=0     Household Paper Plastic   1   6.44   8.40     2   7.72   3.86     3   3.27   0.63     4   9.19   3.74     5   14.33   6.43     6   11.08   12.47     7…

Use the magnitudes​ (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the​ range, variance, and standard deviation. If another​ value, 8.00​, is added to those listed in the data​ set, do the measures of variation change​ much?  3.30 2.77 2.80 1.96 1.69 2.54   2.43 3.44 3.92 1.58 2.87 1.63   2.56 3.95 2.50 2.44 1.82 2.19   2.44 2.99 2.92 2.35 1.98 3.06   2.78 3.86 2.95 2.07 1.86 2.36   2.37 3.46 3.45 1.54 2.54 1.49   2.22 3.06 2.27 3.20 1.96 1.91   2.40 2.95 2.61 1.49 2.16 2.33   1.91 2.70 2.92 1.80 3.66 2.69   1.43 3.60 3.13 2.56 1.54 1.41   2.83 2.85 2.20 1.68 3.18 1.38   1.73 2.37 1.15 2.35 2.46 1.81   2.01 3.00 1.94 2.42 1.85 2.24   2.35 3.22 3.97 2.10 1.48 2.31   2.31 2.62 2.55 2.20 2.77 2.46   2.69 3.57 2.84 2.75 3.26 1.74   4.72 3.23 2.36 2.00 3.83 2.41   2.88 2.67 2.32 2.80 2.80 2.40   3.41 2.34 1.49 2.41 2.45 2.50   2.73 2.44 2.78 2.65 2.68 2.43 Without the extra data​ value, the range is 3.573.57. ​(Type an integer or…