In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cookingoil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficialpolyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new andold oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a randomsample of 1000 individuals who have purchased fries at McDonald's,USE SALT(a) At least 33 can taste the difference between the two oils? (Round your answer to four decimal places.)(b) At most 5% can taste the difference between the two oils? (Round your answer to four decimal places.)

Answered: In response to concerns about…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Annie is concerned over a report that "a woman over age 4040 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 4040-year-old university-educated American woman was 2.8%2.8%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 513513 never-previously-wed, university-educated, American women who were single at the beginning of their 4040s and who are now 4545. Of these women, 2323 report now being married. Does this evidence support Annie’s claim, at the 0.050.05 level of significance, that the chances of getting married for this group is greater than 2.8%2.8%? Step 3 of 3 : Draw a conclusion and interpret the decision.
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,069 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 171 of their customers and calculates that these customers used an average of 10,461 kWh of electricity last year. Assuming that the population standard deviation is 2973 kWh, is there sufficient evidence to support the power company's claim at the 0.01 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425 kWh of electricity last year. Assuming that the population standard deviation is 3217 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.
A sociologist is studying the age of the population in Blue Valley. Ten years ago, the population was such that 19% were under 20 years old, 14% were in the 20- to 35-year-old bracket, 33% were between 36 and 50, 23% were between 51 and 65, and 11% were over 65. A study done this year used a random sample of 210 residents. This sample is given below. At the 0.01 level of significance, has the age distribution of the population of Blue Valley changed?Under 20 20 - 35 36 - 50 51 - 65 Over 6529 27 67 65 22(i) Give the value of the level of significance. State the null and alternate hypotheses.H0: The population 10 years ago and the population today are independent.H1: The population 10 years ago and the population today are not independent.H0: The distributions for the population 10 years ago and the population today are the same.H1: The distributions for the population 10 years ago and the population today are different. H0: Time ten years ago and today are independent.H1: Time ten years…
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,069 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 171 of their customers and calculates that these customers used an average of 10,461 kWh of electricity last year. Assuming that the population standard deviation is 2973 kWh, is there sufficient evidence to support the power company's claim at the 0.01 level of significance? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 440 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 12 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 2.4%? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision.
Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. The data are shown in Table 7.3. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. Table 7.3 Serum estradiol and ethnicity in 25 premenopausal women, where 0=Caucasian and 1=African-American. ID Serum_estradiol Ethic 1 94 0 2 54 1 3 31 0 4 21 1 5 46 1 6 56 0 7 18 1 8 19 1 9 12 1 10 14 0 11 25 0 12 35 1 13 22 1 14 71 0 15 43 1 16 35 1 17 42 1 18 50 1 19 44 1 20 41 0 21 28 0 22 65 0 23 31 0 24…
Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1600 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 16 recent mileages of Citrus cars was taken. The mean of these 16 mileages was 1517 miles per month, and the standard deviation was 233 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1600 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…
As a hospital administrator of a large hospital, you are concerned with the absenteeism among nurses' aides. The issue has been raised by registered nurses, who feel they often have to perform work normally done by their aides. To get the facts, absenteeism data were gathered for the last three weeks, which is considered a representative period for future conditions. After taking random samples of 64 personnel files each day, the following data were produced: Because your assessment of absenteeism is likely to come under careful scrutiny, you would like a type I error of only 1 percent. You want to be sure to identify any instances of unusual absences. If some are present, you will have to explore them on behalf of the registered nurses. a. Design a p-chart. The upper control limit is enter your response here and the lower control limit is enter your response here . (Enter your responses rounded to three decimal places. If your answer for the lower control limit is negative, enter…
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.2%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 436 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 20 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 3.2%? Step 1 of 3 : State the null and alternative hypotheses for the test. Circle the answer below. H0: p=0.032: Ha: p 0.032 A.<B.>C.≠ Step 2 of 3: Compute the value of the test statistic. Sep 3 of 3: Draw a conclusion and interpret the decision.

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