### Comparison of Electricity Usage: Los Angeles vs. New York CityA researcher is studying how much electricity (in kilowatt hours) people from two different cities use in their homes. Random samples of 14 days from Los Angeles (Group 1) and 14 days from New York City (Group 2) are shown below. Test the claim that the mean number of kilowatt hours in Los Angeles is different from the mean number of kilowatt hours in New York City. Use a significance level of $\alpha = 0.01$. Assume the populations are approximately normally distributed with unequal variances. Round answers to 4 decimal places.| Los Angeles (Group 1) | New York City (Group 2) ||------------------------|------------------------|| 839.1 | 839.9 || 851.2 | 829.1 || 834.5 | 834.2 || 852.8 | 842.8 || 837.6 | 844.9 || 845.7 | 812.9 || 855.9 | 826.8 || 830.9 | 831.3 || 819.9 | 840.4 || 826.2 | 855.1 || 826.2 | 828.7 || 839.9 | 839 || 832.2 | 837 || 832.2 | 823.6 |#### Hypothesis TestingWhat are the correct hypotheses? Select the correct symbols for each of the 6 spaces.$ H_0 $: (select an answer) $ ? $ (select an answer)$ H_1 $: (select an answer) $ ? $ (select an answer)**Based on the hypotheses, find the following:**1. **Test Statistic:** 2. **p-value:**

To test the claim that the mean number of kilowatt hours in LOS Angeles is different than the mean…

Answered: A researcher is studying how much…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A company produces scooters used by small businesses that find them convenient for making short deliveries. The company is notified whenever a scooter breaks down, and the problem is classified as being either mechanical or electrical. The company then matches the scooter to the plant where it was assembled. The data table to the right contains a random sample of 200 breakdowns. Use the data file and the relative frequency assessment method to complete parts a through c. Electrical Mechanical Total Plant 1 21 52 73 Plant 2 74 53 127 Total 95 105 200 a. What is the probability a scooter was assembled at Plant 2? P(Plant 2) = (Type an integer or a decimal.) b. What is the probability that a scooter breakdown was due to a mechanical problem? P(mechanical) =D(Type an integer or a decimal.) c. What is the probability that a scooter breakdown was due to an electrical problem and the scooter was assembled at Plant 2? P(electrical and Plant 2) = (Type an integer or a decimal.)
A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The concrete is poured into casting cylinders and allowed to set for 28 days. The concrete's strength is then measured. The following data represent the strength of nine randomly selected casts (in psi). Compute the mean, median, and mode strength of the concrete (in psi). 3940 4060 3220 3080 2920 3870 4060 4030 3790 Compute the mean strength. Select the correct choice below and fill in the answer box to complete your choice. OA. The mean strength is 10 (Round to two decimal places as needed.) B. The mean does not exist. Compute the median strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The median strength is (Round to two decimal places as needed.) B. The median does not exist. Compute the mode strength. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The mode…
5. Dust mite allergies. Refer to Exercises 4.2 (p. 138) and 4.13 (p. 143). Each home with a dust mite level that ex- ceeds 2µg/g will spend $2,000 for an allergen air purifica- tion system. Find the mean and variance of the total amount spent by the four sampled homes. Give a range where this total is likely to fall.
Your statistics instructor often ponders the relationship between commute time and job satisfaction while driving back and forth to campus. Your instructor hypothesizes that people with a shorter commute time will have higher degrees of job satisfaction. Randomly sampling 600 Valley commuters, the instructor finds the following data listed in frequencies: Table 2: Commuters by Length of Commute and Job Satisfaction Job Satisfaction Number Who Commute 20 Minutes or Less Number Who Commute 21 to 40 Minutes Number Who Commute 41 Minutes or More Total Number for Each Level of Job Satisfaction Dissatisfied 10 60 140 210 Neutral 45 59 51 155 Satisfied 145 60 30 235 Total Number for Each Commute Time Range 200 179 221 1. Change frequencies to column percentages.
Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year. a. mean= 12,700; median= 13,156; no mode; the mean is the best choice because it is representative of the entire data set. b. mean= 13,156; median= 12,700; mode= 3,628; the median is the best choice because it is not skewed by the high outlier. c. mean= 13,156; median= 12,700; no mode; the mean is the best choice because it is representative of the entire data set. d. mean= 13,156; median= 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.
The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different states? Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem? Click the icon to view the data. What are the hypotheses for this test? O A. Ho: At least one of the means is different from the others H₁ H₁ H₂ H3 OB. Ho: H₁ H₂=H3 H₁: At least one of the means is different from the others OC. Ho: H₁ H₂=H3 H₁: H₁ H₂ #H3 O D. Ho: M₁ #₂ #H3 H₁: H₁ H₂=H3 Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value…
Listed below are the measured radiation emissions (in W/kg) corresponding to cell phones: A, B, C, D, E, F, G, H, I, J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6 W/kg or less. Find the a. mean, b. median, c. midrange, and d. mode for the data. Also complete part e. 0.32 1.49 1.41 0.27 1.08 0.77 0.55 0.22 1.17 1.28 1.06 a. Find the mean. The mean is (Round to three decimal places as needed.) ... n
The table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At a = 0.10, can you conclude that at least one mean vacuum cleaner weight is different from the others? Click the icon to view the vacuum cleaner weight data. Let μBU, BLU, and μTC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? A. Ho: At least one of the means is different. Ha: MBUHBLUPTC B. Ho: "BU HBLU HTC # Ha: MBUHBLUPTC C. Ho: MBUHBLU = HTC Ha: At least one of the means is different. D. Ho: MBU - HBLU = μTC Ha: HBU #BLU HTC What is the test statistic? F = 12.56 (Round to two decimal places as needed.) What is the P-value? P-value = 0.000624 (Round to three decimal places as needed.)
The mean number of sick days an employee takes per year is believed to be about 10.5. Members of a personnel department do not believe this figure. They randomly survey ten employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8; 2; 9. Let x = the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?
5t. A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site. Women Men Sample 150 170 Trust RecommendationsMade on the social networking site 111 102 (a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? (b) What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? (c) Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)
The table to the right gives the cost of living index (COLI) for six East Coast counties and six Midwest counties (using an index where 100 represents the average cost of living for all A participating cities with a population of more than 1.5 million). Answer parts (a) through (e) below. B a. Find the mean, median, and range for each of the two data sets. The mean for the East Coast Counties is (Type an integer or decimal rounded to two decimal places as needed.) EUCEY с D F East Coast Counties 104.9 128.7 314.2 134.1 123.5 141.1 DYWXYN Midwest Counties 96.2 92.7 94.4 87.3 95.8 228.3
Listed below are the measured radiation emissions (in W/kg) corresponding to cell phones: A, B, C, D, E, F, G, H, I, J, and K respectively. The media often present reports about the dangers of cell phone radiation as a cause of cancer. Cell phone radiation must be 1.6 W/kg or less. Find the a. mean, b. median, c. midrange, and d. mode for the data. Also complete part e. 0.45 0.77 0.72 0.68 1.53 1.28 0.75 0.99 0.55 0.56 1.12 --..- a. Find the mean. The mean is . (Round to three decimal places as needed.)

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