9.1. In a survey of buying habits 400 women shoppers are chosen at random in super-market 'A' located in a certain section of the city. Their average weekly food expenditure is Rs 250 with a standard deviation of Rs 40. For 400 women shoppers chosen at random in super-market 'B' in another section of the city, the average weekly food expenditure is Rs 220 with a standard deviation of Rs 55. Test at 1% level of significance whether the average weekly food expenditures of the populations of shoppers are equal.
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- For all adult women in the US, the diastolic blood pressure is normally distributed with mean 76 mm Hg and standard deviation 12 mm Hg. A physician has data on 16 randomly selected adult US women. There is a 10 % chance that any other person collecting data on 16 randomly selected adult US women will get an average diastolic blood pressure higher than the average diastolic blood pressure for the physician’s sample. What is the average diastolic blood pressure for the physician’s sample? 92.56 72.16 59.44 79.84 Cannot find because we do not know the average blood pressure values for the other samplesAccording to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,660 miles with a standard deviation of 1940 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, 4, is less than 12,660 miles. He takes a random sample of 11 cars under the new contracts. The cars in the sample had a mean of 11,046 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.05 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,660 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more…According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,660 miles with a standard deviation of 1940 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, 4, is less than 12,660 miles. He takes a random sample of 11 cars under the new contracts. The cars in the sample had a mean of 11,046 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.05 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,660 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more…
- The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1100 who were over the age of 25, and 871 of them were high school graduates, (a) Find the mean and standard deviation for the number of high school graduates in groups of 1100 Americans over the age of 25. Mean = %3D Standard deviation = (b) Is that county result of 871 unusually high, or low, or neither? (Enter HIGH or LOW or NEITHER) Give your answers exactly, or to at least 4 decimal places.The bookstore at IRSC would like to estimate the proportion of students who prefer electronic textbooks (eBooks) over printed textbooks (hard copies). A random sample of 30 students was surveyed. Their preferences are listed below. hard copy hard copy hard copy eBook eBook eBook hard copy hard copy hard copy hard copy eBook eBook eBook eBook eBook hard copy eBook eBook hard copy eBook hard copy eBook eBook eBook eBook eBook eBook eBook eBook eBook Determine the point estimate, ˆpp^ and the sample standard deviation, sˆpsp^. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary.ˆp=p^=sˆp=sp^=Using a 99% confidence level, determine the margin of error, EE, and a confidence interval for the proportion of all students at the college who work prefer eBooks over printed textbooks. Report the confidence interval using interval notation. Report the…According to a report published by the USDA 3 years ago, a typical American consumes an average of 26 pounds of ice cream per year. A researcher at the USDA would like to determine if the average amount of ice cream consumed each year by a typical American has changed since the original report was published. The researcher collected data from a random sample of 65 Americans and found that the mean amount of ice cream consumed each year by the sample was 25.54 pounds with a standard deviation of 1.64 pounds. Using α=0.02, test the hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 26 pounds. Use the p-value method. State the null and alternative hypothesis for this test. H0= H1= Determine the test statistic for the hypothesis test. Round the solution to four decimal places. =
- According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is miles with a standard deviation of miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, , is less than miles. He takes a random sample of cars under the new contracts. The cars in the sample had a mean of annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then answer the questions below.Carry your intermediate computations to three or more decimal places, and round your responses…Suppose that shoe sizes of american women have a bell shaped distribution with a mean of 8.42 and a standard Deviation of 1.52. Using the empirical rule , what percentage of American women have shoe sized that are less than 9.94? Please do not round your answer.Suppose that the distance of fly balls hit to the outfield in baseball is normally distributed with a mean of 250 feet and a standard deviation of 50 feet we randomly sample 49 flyballs find an 80th percentile of the distribution of the average of 49 flyballs
- What percentage of organs weighs less than 250 grams or more than 350 grams in a bell-shaped distribution with a mean of 300 grams and a standard deviation of 50 grams?According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,940 miles with a standard deviation of 2920 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, µ, is less than 12,940 miles. He takes a random sample of 50 cars under the new contracts. The cars in the sample had a mean of 12,340 annual miles driven. Is there support for the claim, at the 0.05 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12.940 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified…Mr. Karim is the owner of Philips home appliance. Recently Mr. Karim observed a differencein the taka amount of sales between the men and women he employed as sales associates. Asample of 40 days revealed the men sold a mean of Tk.1400 worth of appliance per day. For asample of 50 days, the women sold a mean of Tk1500 worth of appliance per day. Assumethe population standard deviation for men is Tk200 and for women Tk250. At the 0.05significance level, can Mr. Karim conclude that the mean amount sold per day is larger for thewomen?