After collecting a large number of assays ofthe gold content in rocks from an open pitmine, a mining engineer postulates that thenatural log of the gold content (oz/st gold)follows a normal distribution with mean -4.6and variance 1.21. Under this distribution, whatis the probability of getting at most 0.0015oz/st gold in an assay?O 0.021none of theseO 0.042O 0.033

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Answered: After collecting a large number of…

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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he manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.1 years and a standard deviation of 0.6 years. He then randomly selects records on 36 laptops sold in the past and finds that the mean replacement time is 2.9 years.Assuming that the laptop replacement times have a mean of 3.1 years and a standard deviation of 0.6 years, find the probability that 36 randomly selected laptops will have a mean replacement time of 2.9 years or less. P(M < 2.9 years) = Incorrect Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Á study was conducted that examined the relationship between alcohol consumption and risk of heart attack. In all, 417 men, age 40 or older, were tracked over ten years and the number of that experienced a heart attack was recorded. The participants were grouped by those who totally abstained from alcohol and those that drank moderately. For the results given in the table below, use the chi-squared test to find the p value for NHST at the .05 level. (In SPSS use the Yates continuity correction value.) Heart attack Alcohol Crosstabulation Count Alcohol Abstainer Moderate Total Heart attack No 197 192 389 Yes 9. 19 28 Total 206 211 417 Op= .090 Op= 121 !! Op=.067 Op = .048
A kind of super-iron called metallic glass is three to four times as strong as the toughest steel alloys, but becomes brittle at very high temperatures. To estimate the mean temperature, at which a particular type of metallic glass becomes brittle, 36 pieces of this metallic were randomly sampled from a recent production run. Each piece was independently subjected to higher and higher temperatures until it becomes brittle. The temperature at which brittleness was first noticed was recorded for each piece in the sample. The following results were obtained; X= 480 degrees F, s= 11 degrees F. Estimate the maximum mean temperature using 90% confidence interval.
1
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 1550 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 15 recent mileages of Citrus cars was taken. The mean of these 15 mileages was 1517 miles per month, and the standard deviation was 201 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 1550 miles per month? Perform a one-tailed test. Then complete the parts below.
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 1500 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 11 recent mileages of Citrus cars was taken. The mean of these 11 mileages was 1332 miles per month, and the standard deviation was 232 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, u, of Citrus cars is less than 1500 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,…
The patient recovery time from a particular surgical procedure is normally distributed with mean of 5.5 days and a standard deviation of 1.7 days. What is probability of spending morethan4 days in recovery?
The proprietor of a greenhouse claims that its pots of lilies average 6.0 buds, with s = 0.4 buds. If n = 29 pots of lilies from a large no of pots of lilies has a mean of 5.8 buds, does this deny the proprietor’s claim of the mean number of buds at 0.015 level of significance?
In a company, the known mean time before the first occupational accident is normally distributed with a mean of 12 years and a variance of 6.76 years². What is the probability that an individual happens to have an accident between 11.3 and 13.6 years of permanence in the company?
2. A pet association claims that the mean annual costs of food for dogs and cats are the same. The results for samples of the two types of pets are shown in the following table. On wished to test the claim. Assume both populations follow normal distributions Dogs Cats 21 - 16 T1= 239 n2 = 18 Iz= 203 S1 = 32 82 =28 with equal variances. Which of the following formula should be used to calculate the standardized test statistic? (a) Z = (21-32)- Do lu A n2 = (E1-2)-Do (b) Z V n1+2 (c) T (1-2)-Do (21-1)a7+(n2-1)s I1 11+11タ-3 V 1'n2 (d) T = d- Do sp/Vn (e) Z
Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?
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 1550 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 13 recent mileages of Citrus cars was taken. The mean of these 13 mileages was 1425 miles per month, and the standard deviation was 209 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.10 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 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,…

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