In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decreasesubstantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect adifference in taste between the new and old 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,In USE SALT(a) At least 31 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.)

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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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A pencil manufacturer claims that its pencils have lengths that are normally distributed with a mean of 6.0 in and a variance of 0.2. What is the probability that a randomly chosen pencil will have a length more than 6.4 in?
According to the USDA, 46.2% of males between 20 and 39 years old consume the minimum daily requirement of calcium. After an aggressive “Got Milk?” campaign, the USDA conducts a survey of 48 randomly selected males between the ages of 20 and 39 and finds that 32 of them consume the recommended daily allowance of calcium. At the alpha=0.10 level, is there evidence to conclude that the percentage of males between the ages of 20 and 39 who consume the minimum recommended daily allowance of calcium has increased?
A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 10 % green, 30 % yellow, 30 % red, and 30 % orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 590 1765 1717 1615 Copy Data Step 2 of 4: Calculate the expected value for the number of vitamins that are orange. Round your answer to three decimal places, if necessary.
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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.
In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, USE SALT (a) At least 45 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.)
In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's,
A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20 % green, 30 % yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Number Children's Vitamins Green 906 I Yellow 1321 Porange Red 1306 Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. Ho:P green = - Pyellow = _Pred = Ha: There is a difference from the stated proportions. Orange 778
A simple random sample of size 144 is selected from a population with p = 0.5. 4a. What is the expected value of p̅?
In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long- run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, n USE SALT (a) At least 32 can taste the difference between the two oils? (Round your answer to four decimal places.) 0.3557 (b) At most 5% can taste the difference between the two oils? (Round your answer to four decimal places.) 0 0000

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