#9 Write the following in inequality notation, interval notation and graph the interval. The confidence interval estimate of a population mean has been found to be -2.4 +- 7.4
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#9 Write the following in inequality notation, interval notation and graph the interval.
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- #10 Write the following in inequality notation, interval notation and graph the interval. The confidence interval estimate of a population proportion has been found to be 0.4224+- .11Mike must work at least 18 hours a week to supplement his income while attending school. He has the opportunity to work in two retail stores. In store 1, he can work between 5 and 13 hours a week, and in store 2, he is allowed between 6 and 11 hours. Both stores pay the same hourly wage. In deciding how many hours to work in each store, Mike wants to base his decision on work stress. Based on interviews with present employees, Mike estimates that, on an ascending scale of 1 to 10, the stress factors are 8 and 6 at stores 1 and 2, respectively. Because stress mounts by the hour, he assumes that the total stress for each store at the end of the week is proportional to the number of hours he works in the store. How many hours should Mike work in each store? a) Define the decision variables b) LP model c) feasible region d) optimal solution e) final answer in statement formThe diversity index, from 0 to 100, measures the chance that two randomly selected people are a different race or ethnicity. The diversity index in the United States varies widely from region to region, from as high as 81 in Hawaii to as low as 11 in Vermont. The bar graph shows the national diversity index for the United States for four years in the period from 1980 through 2010.The data in the graph can be modeled by the formulaD = 0.005x2 + 0.55x + 34,where D is the national diversity index in the United States x years after 1980. According to the formula, what was the U.S. diversity index in 2010? How does this compare with the index displayed by the bar graph?
- For some data, we know the range R of the data is 12 and its median is 6. Find Estimated Lowest Number, and Estimated Highest Number for this data. Give you answers in the same order asked.A sample of Americans was questioned. The proportion in support of Mr. Trump was 48%. The proportion in support of Mr. Biden was 43% The margin of error is 3% a.) What is the lower bound of the interval for the proportion in support of Mr. Trump? b.) What is the upper bound for the interval for the proportion in support of Mr. Biden? c.) Do the intervals overlap on the x-axis?Final exam week is approaching, and students are not eating as well as usual. Four students were asked how many calories of junk food they had consumed between noon and 10:00 P.M. on the day before an exam. The estimated numbers of empty calories, calculated with the help of a nutritional software program, were 450, 670, 1130, and 1460. 1. Using the formula, calculate the range for these scores. 2. What information can’t you glean from the range? 3. Using the formula, calculate variance for these scores. 4. Using the formula, calculate the standard deviation for these scores. 5. If a researcher were interested only in these four students, which symbols would he use for variance and standard deviation, respectively? 6. If another researcher hoped to generalize from these four students to all students at the university, which symbols would she use for variance and standard deviation?
- Degrees of freedom between groups is 3; degrees of freedom within groups is 16; MS-within is 10.31; there are 4 conditions with 5 participants in each condition. What is the HSD valueGolf members have a median age of 39 years and an interquartile range of 12 years. What can you conclude about the percentage of golf members aged between 33 and 45? The percentage is at most 60%. The percentage is near 25%. The percentage is near 50%. The percentage was unable to be calculated.State whether the data described below are discrete or continuous, and explain why. The numbers of times different employees go to the bathroom in a workday Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are continuous because the data can only take on specific values. C. The data are discrete because the data can only take on specific values. D. The data are continuous because the data can take on any value in an interval.
- Solve the problem and show complete solution: A researcher claims that 75% of college students would rather spend their extra money for cellphone loads than cigarettes. Another researcher would like to verify this claim. She randomly selected 400 college students. Two hundred ninety-six of these 400 students said that they would rather spendtheir extra money on cell phone loads than cigarettes. At 0.05 level of confidence, is there enough evidence to conclude that the percentage of students who would rather spend their extra money for cellphone loads than cigarettes is different from 75%?A microbiologist wants to estimate the concentration of a certain type of bacterium in a waste-water sample. She puts a 0.5 mL sample of the wastewater on a microscope slide and counts 39 bacteria. Estimate the concentration of bacteria, per mL, in this wastewater, and find the uncertainty in the estimate.The director of student recruitment is interested in the ACT scores for the incoming Freshmen class. A group of 300 students is surveyed and the research finds that these students have an average ACT score of 21. For this study, the average of 21 is an example of a(n) ___________.
