Note that when the population variance is 20, the population standard deviation is 4.47. So the answer tod is also the answer to a case where the standard deviation is 4.47.d. Suppose the standard deviaiton is 8.94 (twice as large as 4.47). What is minimum sample size neededto create a 90% confidence interval that is 1 unit wide?e. Is the increase in the minimum sample size proportional to the 2x increase in the standard deviation(compare the answer to e to the answer to d)? Why or why not?f. Is an increase in the minimum sample size proportional to an increase in the variance (compare theanswer to a to the answer to b)? Why or why not? 8. Suppose you need to compute a 90% confidence interval for a population

Determination of sample size for estimation of mean.

Answered: Note that when the population variance…

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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Suppose the retirement age in the U.S. is normally distributed with an unknown population mean and standard deviation. A random sample of 22 retirees is taken and results in a sample mean of 59 years old and sample standard deviation of 5 years.The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 2.22. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places
You have taken 12 observations from normally distributed data that is known to have a population standard deviation of 1. The sample mean is 31. Calculate the lower endpoint of a 95% confidence interval for the population mean to two decimal places. Question 4 Number
Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with a standard deviation of 3 in. Jeremy takes a simple random sample of 16 such men and notices that none of them are unusually tall or unusually short. He then calculates the average of the sample to be 67 in. and is planning on using this to find a 90% z-confidence interval for the true mean height. Can Jeremy use this information to find the z-confidence interval? Complete the following sentences. The population distribution is and the population standard deviation is Therefore, the sample to find a 90% z-confidence interval.
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A producer of televisions claims that his product will last at least 10 years on average. A sample of 40 is taken and the mean and standard deviation are found. The test statistic is calculated to be 1.756. Using a 5% level, the conclusion would be a. there is insufficient evidence for the producer’s claim to be considered correct b. there is sufficient evidence for the producer’s claim to be considered incorrect c. None of the above d. there is sufficient evidence for the producer’s claim to be considered correct
How would you solve this?
A scientist has read that the mean birth weight of babies born at full term is 7.4 pounds. The scentist has good reason to believe that the mean birth weight of babies born at full term, µ, is greater than this value and plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.8 pounds and the standard deviation to be 1.6 pounds. Based on this information, complete the parts below. (a) what are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? Ho :0 O
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The mean ACT score for 43 male high school students is 21.1 and the standard deviation is 5.0. The mean ACT score for 56 female high school students is 20.9 and the standard deviation is 4.7. At the 1% significance level, can you reject the claim that male and female high school students have equal ACT score averages? Be sure to use the p-value to make your conclusion.
A random sample of 40 college students has a mean earnings of $3120 with a standard deviation of $677 over the summer months. Determine whether a normal distribution or a t-distribution should be used or whether neither of these can be used to construct a confidence interval. Question 2 options: Cannot use normal distribution or t-distribution. Use normal distribution. Use the t-distribution.
Two species of fish have similar phenotvpes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?

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