Suppose that 24% of customers use Diners as well as regular credit card. Calculate the approximate probabilit that fewer than 50 customers in the sample of 250 customers will hold both type of cards. O0.06944 O0.07927 O0.0778 00.05998 Report This Questic
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- In order to gain additional information about respondents, some marketing researchers have used ultraviolet ink to precode questionnaires that promise confidentiality to respondents. Of 168 randomly selected marketing researchers who participated in an actual survey, 122 said that they disapprove of this practice. Suppose that, before the survey was taken, a marketing manager claimed that at least 84 percent of all marketing researchers would disapprove of the practice. (a) Assuming that the manager's claim is correct, calculate the probability that 122 or fewer of 168 randomly selected marketing researchers would disapprove of the practice. Use the normal approximation to the binomial. (b) Based on your result of part a, do you believe the marketing manager's claim?A random sample of 15 health maintenance organizations (HMOS) was selected. For each HMO, the co-payment (In dollars) for a Español doctor's office visit was recorded. The results are as follows. 7,6, 7, 10, 9, 10, 11, 6, 10, 9, 5, 6, 5, 11, 8 Send data to calculator Under the assumption that co-payment amounts are normally distributed, find a 99% confidence interval for the mean co-payment amount in dollars. Then find the lower limit and upper limit of the 99% confidence interval. 00 Carry your Intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit: CheckAt an art store, the mean sale amount is $1250 per customer. The owner thinks that the mean sales amount increases during promotion. A random sample of 45 paintings purchased during a promotion was selected, the sample mean sales amount is x¯=1315. Assume σ=$155. How can I implement the hypothesis test to check if the mean sales amount increases during promotion, and let α=0.01. I want to solve by both P-value method and reject region method.
- 2. An individua's present route to work results in, on average, 40 minutes of travel time per trip. An alternate route has been suggested by a friend, who claims that it will reduce the travel time. Suppose that the new route was tried on 10 randomly chosen occasions with the following times resulting: 44, 38.5, 37.5, 39, 38.2, 36, 42, 36.5, 36, 34 Do these data establish the claim that the new route is shorter, at the (a) 1 percent (b) 5 percent (c) 10 percent level of significance?19 1.328 1,/29 2.093 2.539 2.86T 19 20 1.325 1.725 2,086 2.528 2.845 20 21 1.323 1.721 2.080 2.518 2.831 21 22 1.321 1.717 2.074 2.508 2.819 22 23 1.319 1.714 2,069 2.500 2.807 23 24 1.318 1.711 2.064 2.492 2.797 24 25 1.316 1.708 2.060 2.485 2.787 25 26 1.315 1.706 2.056 2.479 2,779 26 27 1.314 1.703 2.052 2.473 2.771 27 28 1.313 1.701 2.048 2.467 2.763 28 29 1.311 1.699 2.045 2.462 2.756 29 30 1.310 1.697 2.042 2.457 2.750 30 31 1.309 1.696 2.040 2.453 2.744 31 32 1.309 1.694 2.037 2.449 2.738 32 33 1.308 1.692 2.035 2.445 2.733 33 34 1.307 1.691 2.032 2.441 2.728 34 35 1.306 1.690 2.030 2.438 2.724 35 36 1.306 1.688 2.028 2.434 2.719 36 37 1.305 1.687 2.026 2.431 2.715 37 38 1.304 1.686 2.024 2.429 2.712 38 39 1.304 1.685 2.023 2.426 2.708 39 40 1.303 1.684 2.021 2.423 2.704 40 45 1.301 1.679 2.014 2.412 2.690 45 50 1.299 1.676 2.009 2.403 2.678 50 60 1.296 1.671 2.000 2,390 2.660 60 70 1.294 1.667 1.994 2.381 2.648 70 80 1.292 1.664 1.990 2.374 2.639 80 90 1.291 1.662 1,987 2.368…4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level…
- 8. Cheap plastic children's dice are made by pressing divots in the die faces causing the dice to be unbalanced, e.g. the side with a 6 will be light and the side with a 1 will be heavy. To test this claim, dice were rolled 180 times and the observed frequencies of 1-6 were found to be 30, 32, 22, 34, 39, 23. (The data are in worksheet 9.8.) Test the observed frequencies to see if they are consistent with the null hypothesis Ho: The dice are balanced versus HA: The dice are unbalanced by: a. Manual calculate the x² statistic and compare it to the appropriate critical value. b. Confirm your answer to part a using MINITAB Stat> Tables> Chi-square Goodness of Fit Test (One Variable).A sample of 274 adults is selected. The adults are classified according to voter registration status ("registered" or "not registered"). They are also classified according to preferred source of current events information ("television", "newspapers", "radio", or "internet sites"). The results are given in the contingency table below. Registered X Not registered Television 30 35 Newspapers Radio 42 37 What is the relative frequency of adults in the sample who are not registered to vote? Round your answer to two decimal places. 0 37 33 Internet sites 16 44On average, there is one hurricane in the Bahamas every year. The cost torepair the damage of each hurricane in the Bahamas to a particular resort is 100. To stabilizefinances, the resort buys hurricane insurance, which will cover the cost of the repairs foreach hurricane after the second. Assume that the number of hurricanes in the Bahamas ina given year is Poisson distributed. 1. What is the expected cost of repairs in a given year to the resort (not including thecost of insurance)?2. What is the expected payout of the insurance company on the resort’s policy in agiven year?
- 50) A vending machine company wants to check three of its machines to determine if they 50) are properly dispensing 12 ounces of coffee. Their data is given below. Machine A Machine C Machine B 11.8 11.7 12.2 12.1 11.9 12.1 12.0 12.0 11.7 11.9 11.8 11.9 12.2 12.0 12.1 Compute the test value for the coffee machines. B) 2.25 9 5.06 D) 4.86 A) 6.62A market researcher company requested all employees of a particular agency to fill up a questionnaire in relation to their product market study. The following are some of the information supplied by the employees: • civil status • number of children in the household • distance travelled by the employee in going to agency • brand of shampo0 being used • number of hours standing in queue while waiting to be served by a bank teller • number of text messages sent in day a. If we are consider the collection of information gathered through the completed questionnaire, what is the population for this data set? b. Which variables are qualitative or quantitative? If quantitative, classify as discrete or continuous?The Global Business Travel Association reported the domestic airfare for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. Do not round intermediate calculations. Current Year Previous Year Current Year Previous Year 468 231 285 216 342 282 699 498 552 360 675 255 252 192 702 222 396 375 477 381 234 174 621 357 What is the p-value? p-value (to 3 decimals) Degrees of freedom b. What is the sample mean domestic airfare for business travel for each year? Current Year $ (to 2 decimals) Previous Year $ (to 2 decimals) c. What is the percentage change in the airfare for the one-year period? % (to 2 decimals)
