Cholesterol levels of adult males are approximately normally distributed with a mean of 224 mg/dL and a listed variance of 475.24. Some researchers claim thatthe variance of cholesterol levels of adult males is less than 475.24. Suppose that we want to carry out a hypothesis test to see if the actual variance ofcholesterol levels of adult males is less than 475.24. State the null hypothesis He and the alternative hypothesis H, that we would use for this test.H :1, :0HO口ロRロD=D0ロチロ

Givenclaim isThe variance of cholesterol levels of adult males is less than 475.24

Answered: Cholesterol levels of adult males are…

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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The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.4 and 5.6, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use a = 0.10. You may need to use the appropriate technology to answer this question. State the null and alternative hypotheses. 2. Ho: a H: 01 Ho 2 2 +02. = 2 02, Ha: 01 >『っ 2 Ho: 01 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = State your conclusion. Do not reject Ho. We can conclude that there is a difference between the population variances. Do not reject Hg. We cannot conclude that there is a difference…
A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 18 randomly selected boys is 153 with a standard deviation of 23 and the mean score for 20 randomly selected girls is 149 with a standard deviation of 30. At α=0.01, can you reject the teacher’s claim? Assume the populations are normally distributed and the variance are not equal. Include a filled out standardized test statistic formula. You may not use the following df formula for this problem
Previous research has shown that the mean number of ballpoint pens Americans use per year is 4.3 with a standard deviation of 1.17. You believe that amount is too high since computers are used so often this day and age. You randomly select 20 people and find the average to be 3.8 ballpoint pens per year. Assuming normality, is there evidence to show that the mean has decreased? What is the decision for this hypothesis test? Previous research has shown that the mean number of ballpoint pens Americans use per year is 4.3 with a standard deviation of 1.17. You believe that amount is too high since computers are used so often this day and age. You randomly select 20 people and find the average to be 3.8 ballpoint pens per year. Assuming normality, is there evidence to show that the mean has decreased? What is the decision for this hypothesis test? Reject the null because the test statistic is in the critical region and the p-value is less than alpha. Reject the null because the test…
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 35 bag sample had a mean of 407407 grams. Assume the population variance is known to be 324. A level of significance of 0.02 will be used. State the null and alternative hypotheses.
It was reported that last year the average price of a gallon gasoline in a city X was $3.15. This year a sample of 50 gas station had an average price of $3.10 for a gallon. We assume that the population standard deviation of prices is $0.15. We are interested in determining whether this year mean price is less than last year. Perform a hypothesis test at the level of significance α=0.05.
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.6 and 5.3, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? You may need to use the appropriate technology to answer this question. Use a = 0.10. State the null and alternative hypotheses. Ho: 0, + 0,2 2 02 2 %D 2 Hoi 01 2 02 2 Ha: 01 2 > 02 Ho: 01 2 > 02 2 2 Ha: 02 2 2 Ho: 01 02 Ha: 01 + 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value %3D State your conclusion. Reject Ho. We can conclude that there is a difference between the population variances. Reject Ho. We cannot…
An empirical researcher reports the following for a particular stock: “In ourdata sample we find that the variance of (de-trended) ex post stock prices is128 whereas the variance of (de-trended) actual stock prices is 110.” Whatmay this tell us? Are there any potential problems with what it may tell us?
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We are running a hypothesis test to see if blood pressure of African zebras differs significantly from Arabian horses. We assume blood pressure in both populations is normally distributed and both populations have the same population variance in blood pressure which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras and a sample of size 16 for the Arabian horses. How many degrees of freedom does our test statistic have?
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The mean age of 31 slot mechanic player is 51.3 years, and the standard deviation is 6.8 years.the mean age of a different sample of 35 roulette player is 54.8 year and standard deviation is 3.2 years. Can it be concluded at alpha = 0.01 that the mean age of slot machine players is less than those players roulette? Assume the variance are equal Step 1= Step 2= Step 3= Step 4=
Records from previous years for a casualty insurance company show that its clients average a combined total of 1.9 auto accidents per day, with a variance of 0.31. The actuaries of the company claim that the current variance, oʻ, of the number of accidents per day is not equal to 0.31. A random sample of 17 recent days had a mean of 2 accidents per day with a variance of 0.62. If we assume that the number of accidents per day is approximately normally distributed, is there sufficient evidence to conclude, at the 0.05 level of significance, that the actuaries are correct? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round…

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