3) The file contains the overall miles per gallon (MPG) of 2010 family sedans: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source: Data extracted from "Vehicle Ratings," Consumer Reports, April 2010, p. 29. a) Compute the mean, median, and mode. b) Compute the variance, standard deviation, and range. c) Are the data skewed? If so, how? 4) The file contains the cost (in cents) per 1-ounce serving for a sample of 13 chocolate chip
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- Use theorem 5.4.2 to form a proportion in which SV is a geometric mean. Hint: SVTRVS Exercises 1-6The manager of a fleet of automobiles is testing two brands of radial tires. He assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) are shown below: Car Brand 1 Brand 2 1 34900 36700 2 45500 47200 3 37100 37700 4 32000 31400 5 48900 47800 6 32800 36900 7 38500 38900 8 30100 31800 Find a 95% confidence interval on the difference in mean mileage. Assume that the differences of the distances are approximately normally distributed.for a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results were as follows: Car Rear Front 1 41.2 32.2 2 36.3 27.2 3 45.8 34.7 4 46.6 37.3 5 39.6 30.7 6 52.3 40.5 7 51.7 41.0 8 46.3 33.8 9 47.4 36.8 a)Construct a 99.8% confidence interval for the difference in mean lifetime between the front and rear brake pads. Let d represent the mileage of the rear pads minus the mileage of the front ones. Round the answers to at least two decimal places. b)Because the confidence interval (contains/does not contain) values above 10 (in 1000s of miles), it (contradicts/does not contradict) the claim that the mean lifetime for rear brake pads is more than 10,000 miles more than the mean lifetime for front brake pads.
- calculate the number of hydrogen atoms in a 140.0g sample of tetraborane (B4H10)?The table below summarizes data from a survey of a sample of women. Using a 0.01significance level, and assuming that the sample sizes of 800 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 498 247 Women who disagree 302 53 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?
- Due to a manufacturing error,ten cans of regular soda were accidentally filled with diet soda and placed into a 36-pack. Suppose that two cans are randomly selected from the 36-pack. Complete parts (a) through (c).For a symmetric bell shaped data, of the five number summary are: 6,10, Y, 16 ,x thenThe racial/ethnic diversity of post high school students enrolled at MVCC during the fall 2020 semester is given below. Racial/Ethnic Diversity of Post High School Students Race/Ethnicity Percent* American Indian or Alaska Native 0.4% Asian 5.3% Black or African American 9.6% Hispanic or Latino 9.6% Two or more races 2.8% Native Hawaiian or Pacific Islander <0.1% Non-Resident Alien 0.5% Unknown 1.5% White 70.2% (*Percentages may not total 100 due to rounding) What is the race/ethnicity of the majority of students at MVCC? What total percent of students were either Black or African American or Hispanic or Latino? There were 3,444 students enrolled at MVCC at the time of the study. How many (not percent) students were Asian? (The answer must be a whole number.)
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