A bolt manufacturer wants to investigate the machine that produces bolts with a diameter of 0.26 centimeters. If the variance of the diameters isequal to 0.02, then the machine is working as expected. A random sample of 20 bolts has a standard deviation of 0.2475. Does the manufacturerhave evidence at the a = 0.005 level that the variance of the bolt diameters is more than required? Assume the population is normally distributed.Step 5 of 5: What is the conclusion?

Answered: A bolt manufacturer wants to…

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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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.7 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 810 samples is 6.6 ppm. Assume the variance is known to be 1.00. Does the data support the claim at the 0.02 level? Step 1 of 5: Enter the hypotheses: Answer 2 Points E Keypad Keyboard Shortcuts Họ: Prev Ne: © 2020 Hawkes Learning MacBook Air 80 888 DII DD F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 ! @ %23 & 1 2 3 4 %3D Q W E T Y { P A S D F G H J K C M ? on command command option .. .- V - * 00 B.
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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 1090 samples is 4.3 ppm. Assume the variance is known to be 1.44. Does the data support the claim at the 0.05 level? Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
There are two samples. Sample 1 has n=10 and a sample variance of 4. Sample 2 has n=8 and a sample variance of 9. Calculate the standard error of the difference between the two sample means (to 2 decimal points). Assume that the variances in the two populations that produced the samples are equal.
The average score on a statistics test was 2.52 with a standard deviation of 0.75. The teacher suspects that the exam was very difficult; Based on the above, he wants to adjust the scores so that the mean is 3.58 and the standard deviation is 0.25. Compute the values a and b such that the fit of type aX+b provide the desired mean and variance? Calculate: a=?b=?
A random sample of size 225 is taken from a population with a mean of 10 and variance 4. Find the probability that the sample mean is greater than 9.8 but less than 10.2.
Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.
A firm produces calculators. It manager claims that its calculators are good, on average, for at least 58 months. A consumer protection agency tested 16 such calculators to check this claim. He found the mean life of these calculators to be 55 months with a variance of 9 months. Can you conclude that the claim of this company is true? Use a = 0.05. Assume that the life of such a calculator has an approximately normal distribution. According to this information the null and alternative hypotheses are: H0: μ ≤ 58 H1: μ > 58 Select one: True False
A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than .001 cm². The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values. Assume bearing diameters are normally distributed. Use the data and a = 0.01 to test to determine whether the population of these bearings is to be rejected because of too high a variance. 1.68 1.62 1.63 1.70 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65 Appendix A Statistical Tables (Round your answer to 2 decimal places, e.g. 15.25.) The value of the test statistic is and we reject the null hypothesis ⇒
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal. The value of the test statistic is 1.80 O b. 3.6 С. 0.45 2.
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At x = 0.01, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop Fry World X₁ = $11.22 X₂ = $10.59 $₁ = $0.79 $2 = $0.64 n₂ = 10 n₁ = 12 (a) Identify the claim and state Ho and H₂. Which is the correct claim below? O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." OB. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World." O c. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D.…

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