Two machines are used for filling plastic bottles witha net volume of 16.0 ounces. The filling processes can beassumed to be normal, with standard deviations of o = 0.015and o = 0.018. The quality engineering department suspectsthat both machines fill to the same net volume, whether or notthis volume is 16.0 ounces. An experiment is performed bytaking a random sample from the output of cach machine.Machine 1Machine 216.0316.0116.0216.0316.0415.9615.9716.0416.0515.9815.9616.0216.0516.0216.0116.0116.0215.9915.9916.00(a) State the hypotheses that should be tested in thisexperiment.(b) Test these hypotheses using a = 0.05. What are yourconclusions?(c) Find the P-value for this test.(d) Find a 95 percent confidence interval on the differencein mean fill volume for the two machines.

As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Answered: Two machines are used for filling…

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 difference in the Organic Chemistry final exam scores between last semester and three years ago will be analyzed by the dean. Although the standard deviations of these populations are unknown, the dean has evidence that they are equal. A sample of 41 of these scores from last semester had a mean of 63.7 and standard deviation of 4.6, and a sample of 37 scores from three years ago had a mean of 64.7 and standard deviation of 5. A claim is made that the mean final exam score from last semester ( 1) is less than the mean final exam score from three years ago (2). For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t=" before your answers. Round each of your answers to 3 places after the decimal point. 1 (a) Calculate the value of the test statistic used in this test. Test statistic's value= (b) Use your calculator to find the P-value of this test. P-value = 0.180 F3 Submit Question 4 R F4 H % 5 T Q F5 A 6 Y F6 & 7 U F7 * PrtScn 8 F8…
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In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6℉ with a standard deviation of 0.72 ℉. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 ℉. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? — What is the X ?
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In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 69 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a D is nothing. (Round up to the nearest integer as needed.)
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How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Students doing a laboratory exercise sample 20 pieces of wood and find an average load capacity of 30,841 pounds. We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume the characteristics of materials vary normally. Suppose that the strength of pieces of wood like these follow a normal distribution with a population standard deviation of 3,000 pounds (As you can see all three necessary assumptions are met). a. Assuming that all evergreen wood has a known "load" capacity average of 30,000 pounds. Make a two-sided hypothesis (null and alternative statement) about Douglas Fir "load" capacity compared to the overall average. b. Apply the formula for finding our test statistic (show your work or describe the process) Specifically, use the formula for the z-statistic (pasted below and on…
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 72 and a standard deviation of 7. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is________ (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is_______ (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is ______ (Round up to the nearest integer as needed.) The lowest score that would qualifty a student for a D is______ ( Round up to the nearesr integer as needed.)
In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6℉ with a standard deviation of 0.72 ℉. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 ℉. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What are the hypotheses? Null: Alternate: Null: Alternate: Null: Alternate: Null: Alternate:

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