Find each of the following: Mean Model Class Variance
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Q: the solution provided is incorrect. please provide correct solution
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Question 4
According to the American Petroleum Institute, the state taxes (in cents) per gallon of gasoline for all 50 states are as follows:
|
State Taxes Per Gallon of Gasoline (Cents) |
Frequency |
|
11 - 15 |
2 |
|
16 – 20 |
3 |
|
21 – 25 |
15 |
|
26 – 30 |
18 |
|
31 – 35 |
8 |
|
36 - 40 |
4 |
Find each of the following:
- Mean
- Model Class
- Variance
Step by step
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- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?Question 11 Public Libraries and GenderA survey1 asked a random sample of n=2752 US adults whether they had visited a public library in the last 12 months. The results for males and females are shown in the table below. Yes No Total Females 726 697 1423 Males 505 824 1329 Total 1231 1521 2752Table 1: Have you visited a public library in the last year? 1Rainie, L., “Libraries and Learning,” www.pewinternet.org/2016/04/07/libraries-and-learning/, Pew Research Center, April 7, 2016. (a) Find p^f and p^m, the sample proportions who have visited a public library in the last 12 months, for females and males respectively. What is the difference in sample proportions p^f-p^m?Round your answers to three decimal places.p^f= p^m= p^f-p^m= (b) Find a 95% confidence interval for the difference in population proportions pf-pm.Round your answers to two decimal places.The 95% confidence interval is…Question 6A multinational corporation is conducting a study to see how its employees in five different countries respond to three gifts in an incentivescheme. The numbers of employees who choose each of the three gifts(G1 to G3) in each of the five countries (A to E) are given in the tablein ‘Dataset6’ in the Excel document.1. Set up the structure of an appropriate statistical test to determine whether the data supports a link between choice of gift andcountry, including the statistic to be used.2. Carry out this test, showing clearly in your work how the expectedvalues are calculated for your test statistic. G1 G2 G3 A 5 17 19 B 8 20 19 C 11 16 25 D 12 19 30 E 13 20 28
- A company provides portable walkies-talkies to construction crews. They use batteries that last, on average, 55 hours of continuous use. The purchasing manager receives a brochure advertising a new brand of batteries with a lower price, but suspects that the lifetime of the batteries may be shorter than the brand currently in use. To test this, the new brand is installed in 8 randomly selected radios. A histogram of the data was approximately unimodal and symmetric. Here are the results for the lifetime of batteries (in hours): 46 53 57 56 52 59 49 53 Find the mean and standard deviation of the sample using your calculator. Find a 95% confidence interval for the true population mean. Is there sufficient evidence to conclude that the purchasing manager is correct in his conjecture that the new brand has a shorter average lifetime? State and test an appropriate hypothesis using a significance level of � = 0.025.In a study, 10 healthy men were exposed to diesel exhaust for 1 hour. A measure of brain activity (called median power frequency, or MPF in Hz) was recorded at two different locations in the brain both before and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males. Subject MPF (in Hz) Location 1before Location 1after Location 2before Location 2after 1 6.4 8.0 6.9 9.4 2 8.6 12.7 9.5 11.2 3 7.4 8.4 6.6 10.2 4 8.6 9.0 9.0 9.7 5 9.8 8.4 9.6 9.2 6 8.9 11.0 9.0 11.9 7 9.1 14.4 7.9 9.3 8 7.4 11.1 8.1 9.1 9 6.7 7.3 7.2 8.0 10 8.9 11.2 7.4 9.3 Construct a 90% confidence interval estimate for the difference in mean MPF at brain location 1 (in Hz) before and after exposure to diesel exhaust. (Hint: See Example 13.7.) (Use ?d = ?before − ?after. Use a table or technology. Round your answers to two decimal places.)…In a genetic inheritance study discussed by Margolin [1988], samples of individuals from several ethnic groups were taken. Blood samples were collected from each individual and several variables measured. Compare the groups labeled “Native American” and “Caucasian” with respect to the variable MSCE (mean sister chromatid exchange). Thedata is as follows:Native American: 8.50 9.48 8.65 8.16 8.83 7.76 8.63Caucasian: 8.27 8.20 8.25 8.14 9.00 8.10 7.20 8.32 7.70Is there any difference in the centers of location?
- 7) A sample of 100 e-mail users were asked whether their primary e-mail account was a free account, an institutional (school or work) account, or an account that they pay for personally. Identify the classes for the resulting data.A 3 x 3 factorial design could be an example of which of the following? Question 1 Select one: a. One-way between subjects ANOVA b. One-way repeated measures ANOVA c. Two-way between subjects ANOVA d. None of these options A group of cognitive psychologists were interested in testing whether learning in the testing environment improves memory retention (i.e., test scores) in a scuba diving class. To test this, the experimenters manipulated learning location such that half of the class learned the course material in a standard classroom and the other half learned the material in a pool. In addition, the experimenters manipulated testing location such that half of the class were tested in the classroom and half were tested in the pool. Thus, a 2 x 2 design was used. Which statistical test should be used? Question 2 Select one: a. One-way between subjects ANOVA b. One-way repeated measures ANOVA c. Two-way between subjects ANOVA d. None of these options A…Question 3 A A private bank has installed an ATM in the city bazaar area. It was found that the time between an arrival and completion of transaction varies from one minute to seven minutes. The arrival and service distribution times are given below. PLEASE SHOW WORKING a) Compute the average time for arrival and service times and construct the appropriate random number mappings using the average times for the random variables starting from random number mappings for the random variables starting from 00.
- The shares of the U.S. automobile market held in 1990 by General Motors, Japanese manufacturers, Ford, Chrysler, and other manufacturers were, respectively, 33%, 28%, 24%, 9%, and 6%. Suppose that a new survey of 1,000 new-car buyers shows the following purchase frequencies: GM Japanese Ford Chrysler Other 361 228 272 89 50 Click here for the Excel Data File (a) Show that it is appropriate to carry out a chi-square test using these data. (b) Determine whether the current market shares differ from those of 1990. Use α = .05. (Round your answer to 3 decimal places.)Suppose researchers perform a two-tailed study and the following results are obtained.α=0.05t=2.44df=40Use the t-table to decide if there is a statistically significant difference between the data sets.Question 7 Consumer report uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers. Each survey respondent is asked to rate a specified retailer in terms of six factor: quality of products, selection, value, check out efficiency, service and store layout . Any overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all six factors. Sample data respresentative of independeent samples of Target and Walmart customers are show below. Target Walmart n - 25 n = 30 mean = 79 mean = 71 part a Formulate the null and alternative hypoteses to test whether there is a difference between the population mean customer satisfactions scores for the two retailers part b Assume…
