8.29 The distribution of heights of a certain breed ofterrier has a mean of 72 centimeters and a standard de-viation of 10 centimeters, whereas the distribution ofheights of a certain breed of poodle has a mean of 28centimeters with a standard deviation of 5 centimeters.Assuming that the sample means can be measured toany degree of accuracy, find the probability that thesample mean for a random sample of heights of 64 ter-riers exceeds the sample mean for a random sample ofheights of 100 poodles by at most 44.2 centimeters.

Given:Mean height of terriers (μT): 72 cmStandard deviation of terriers' heights (σT): 10 cmSample…

Answered: 8.29 The distribution of heights of a…

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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1. If the standard deviation for a set of numbers equals 15, what is the variance for the same sample ? (a) 225 (b) 15 (c) sqrt(15) (d) 30 (e) none of these 2. For a given set of data, the value of Q1 = 50, and the value of Q3 = 80. What is the correct value for the interquartile range (IQR)? (а) 130 (b) 30 (c) 4000 (d) 1.6 (e none of these 3. For a set of data with 10 values, which statement is true ? (a) Q1 would be determined using the lowest 6 numbers. (b) Q1 would be determined using the highest 5 numbers. (c) Q3 would be determined using the highest 6 numbers. (d) Q3 would be determined using the highest 5 numbers. (e) Each of these statements is false. 4. For a set of data with 11 values, which statement is true ? (a) Q1 would be determined using the lowest 5 numbers. (b)Q1 would be determined using the highest 5 numbers. (c) Q3 would be determined using the highest 6 numbers. (d)Q3 would be determined using the highest 3 numbers. (e) Each of these statements is false. 5. Which…
An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and uses the sample mean, X to as an estimator for u. a. What is the bias and variance of the estimator? (Note, these may be a function of n.) b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find P(|X – µ| < 1). c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95% probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.) d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet. Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d).
The population mean ACT composite score in 2015 was 20.8 points, with population standard deviation 5.6 points. The population size of number of tests taken in 2018 is extremely large (more than 1 million). Consider all samples of size 40 tests. find A and B
From a sample of 18 tellers operating in different branches of a bank, it turned out that during a day an average of 60 people are served, with a variance of 81. Construct an interval for the population mean, with 95 % confidence.Select one:a. μ= [56,524 ;63,476]b. μ= [55,524 ;64,476]c. μ= [55,324 ;64,376]d. μ= [55,842 ;64,158]e. μ= [56,542 ;64,467]
13. According to a recent random sample of 31 Canadian Football League players, the mean age was approximnately 27.71 years with a variance of 2.59. Lonnie Lobowsky of the Yukon Argonauts has an age with Z-score equivalent to 2.21. Determine his age. A. 31 B. 37 C. 33 D. 35 E. 28 -
A random sample of 89 tourists in British Columbia showed that they spent an average of $2860 (in a week) with an assumed population standard deviation of $126; and a sample of 64 tourists in Alberta showed that they spent an average of $2935 (in a week) with an assumed population standard deviation of $138. We are interested in determining if there is any significant difference between the average expenditures of all the tourists who visited the two provinces.a. At a significance level of 0.05, are the two average expenditures significantly different? b. Calculate the 99% confidence interval and interpret your results?
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1. The strength of steel wire made by an existing process is normally distributed with a mean of 1550 and a standard deviation of 170. A batch of wire is made by a new process, and a random sample consisting of 25 measurements gives an average strength of 1316. Assume that the standard deviation does not change. Is there evidence at the 1% level of significance that the new process gives a larger mean strength than the old? To answer this question, the null hypothesis could be stated as A. μ= 1550 psi B. μ> 1550 psi C.µ + 1550 psi D. μ< 1550 psi
A manufacturer advertises that the average life of batteries produced by his firm is at least 12 months. The consumer board disagrees, and claims that the average life of the batteries is less than 12 months. The consumer board test a random sample of 9 batteries and find that the mean life is 10.6 months with a standard deviation of 2. The consumer board's alternative hypothesis is: A. The average life of the population of batteries is 12 months. B. The average life of the population of batteries is less than 12 months. C. The average life of the population of batteries is more than 12 months. D. The average life of the population of batteries is at least 12 monthsThe manufacturer of 'Road King' tyres claim that their tyres last an average of 70,000km or more. The Consumer Board suspects that this claim may be false (they have received some complaints) and decide to test the manufacturer's claim. The Consumer Board took a sample of size 500 from the population. They ran the…
5.2° A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 51 months and a standard deviation of 9 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 24 and 42 months? Do not enter the percent symbol. ans = Question Help: Video Submit Question 0 % a $ || hp
5. The standard deviation of a sample of the costs of 15 automobile repairs at a local garage was $120.82. Assuming that the variable is normally distributed, find the critical values, Xleft and right, that could be used to determine the 90% confidence interval of the true variance and standard deviation.

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