The distribution of heights of a certain breed of terrier dogs has a meanheight of 70 cm and standard deviation of 8 cm, whereas the distributionof heights of a certain breed of poodles has a mean height of 30 cm witha standard deviation of 5 cm. Assuming that the sample means can bemeasured to any degree of accuracy, find the probability that the sampiemean for a random sample of heights of 60 terriers exceeds the samplemean for a random sample of 80 poodles by at most 44 cm.

Given X1-bar=70 X1-bar=30 S1=8 S2=5 n1=60 n2=80

Answered: The distribution of heights of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be o, = 0.10 fluid ounces and o, = 0.15 fluid ounces for the two machines, respectively. Two random samples of n1 =12 bottles from machine 1 and n2 = 10 bottles from machine 2 are selected, and the sample mean fill volumes are I, = 30.87 fluid ounces and = 30.68 fluid ounces. Assume normality and use a = 0.05. Find the value of (a) zo and (b) P-value. а. none O b. zo = 3.24, P-value = 0.0036 z0 = 2.34, p-value = 0.0006 Oc. O d. zo = 3.42, p-value = 0.0003 %3D
Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distributions. The zloty is the official currency of Poland. During a recent period of two years the day ahead prices for a renewable energy in Poland have a mean of 158.51 and a standard deviation of 33.424. Random samples of size 100 are drawn from this population and the mean of each sample is determined
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 5.9. Suppose that 100 fossil humerus bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones have a sample mean 5.6 and sample standard deviation 0.25. Can we conclude that the mean ratio of these bones is significantly smaller than those of Species A? Test with a 0.01 significance level. What is the standard error?
The monthly salaries of employees at a company are normally distributed with a mean of $5000 and a standard deviation of $1000. What percentage of employees earn between $4000 and $6000 per month? The weights of apples in a certain orchard follow a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. If a random sample of 25 apples is selected, what is the probability that their average weight is less than 155 grams? The heights of a population of adult females follow a normal distribution with a mean of 65 inches and a standard deviation of 3 inches. If a woman is selected at random from this population, what is the probability that she is shorter than 60 inches?
According to an article in Good Housekeeping, a 128-lb woman who walks for 30 minutes four times a week at a steady, four-mi/hr pace can lose up to 10 lbs over a span of a year. Suppose 35 women with weights between 125 and 130lb perform the four walks per week for a year and at the end of the year the average weight loss for the 35 was 9.1 lbs. If the sample standard deviation is 5, calculate the value of the test statistic and find the p-value of the hypothesis test of Ho:µ =10 vs H1:µ≠10.
The weight of male contestants is normally distributed with the mean of 93 kg and a standard deviation of 10 kg. If 69% of contestants satisfy a maximum height requirement for police officers, what is the maximum weight requirement?
A sample of 36 corn plants represent the height of corn in a corn field. The sample mean of corn height is 68 cm. If the population standard deviation is 3 cm, find a 99% confidence interval for the true mean height of corn.
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30
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