Problem # 1:Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fillingprocesses can be assumed to be normal, with standard deviations of 0.015 and 0.018. Thequality engineering department suspects that both machines fill to the same net volume,whether or not this volume is 16.0 ounces. An experiment is performed by taking a randomsample from the output of each machine.Machine 116.03Machine 216.0116.02 16.0316.0415.9615.97 16.0416.0515.9815.96 16.0216.0516.0216.01 16.0116.0215.9915.99 16.00a. Test the hypothesis using a Fixed Significance level approach. (Show all the sevensteps)b. Repeat the hypthesis using a P-Value approach. (Show all the seven steps)c. Construct a Cl on the difference in the mean fill volume.d. Use the above CI to test the hypothesis.

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Answered: Problem # 1: Two machines are used for…

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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QUESTION 1 A health researcher read that a 150-pound college-aged, male can burn an average of 530 calories per hour playing tennis with a standard deviation of 25 calories. 40 college-aged males were randomly selected at a commuter school and the mean number of calories burned per hour playing tennis was 540 calories. Do college-aged male tennis players at the commuter school burn more calories per hour than the college-aged, male tennis player population? Test with a 0.05 significance level. What are the hypotheses? Null and Alternate
QUESTION 6 In a recent speech to students, the Dean of the College of Business claims that the average grade of students in the college is no longer 75. To conduct a test of the dean's claim, a randomly selected sample of 64 students revealed an average grade of 76 with a standard deviation of 5. Is there evidence that the average grade is no longer 75? Use a = 0.05. Ho: p= 75 vs H₁: #75. t-stat 1.6. p-value = 0.115. Do not reject Ho and there is not enough evidence to support the dean's claim. Ho: μ = 75 vs H₁: #75. Z-stat 1.6. p-value = 0.11. Do not reject Ho and thers is not enough evidence to support the dean's claim. ⒸHo: p = 75 vs H₁: # 75. z-stat 1.6. p-value = 0.11. Do not reject Ho and there is enough evidence to support the dean's claim. Ho: p=75 vs H₁: #75 t-stat= 1.6. p-value = 0.115. Do not reject Ho and thers is enough evidence to support the dean's claim.
Question 6 In a random sample of 12 adults each of them ate 100 g of dark chocolate and in another random sample of 15 adults each of them ate 100 g of mik cho plasma antioxidant capacity was measured and the summary statistics are given below. Sample mean Sample standard deviation Dark chocolate (DC) Milk chocolate (MC) 171.5 6.8 165.0 7.2 At 5% significance level do the data provide sufficient evidence that dark chocolate produces different mean level of total blood plasmà antioxidant c Assume that the population distributions are normal with equal variance. a. The alternative hypothesis is H1: Pparkc (/ +) HMIKC b. The test statistic t= (round at two decimal places) c. The degrees of freedom (d.f.) = d. The critical value of the test = (do not round up). than the critical value, we (accept/reject) e. As the test statistic is (less/greater) produce different mean level of total blood plasma antioxidant capa that dark chocolate (does/does not) -tailed test. f. The above test is a…
Question 18 You want to determine the control lines for a p chart for quality control purposes. If the total number of bad products from all samples is 45, the number of samples is 50, and the sample size is 30 (which means that the value of "p"-proportion of defective products is 0.03). Which of the following would be the standard deviation used in developing the control lines for the p-control chart? 0.019 0.027 O 0.031 O None of the above
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
QUESTION 17 The amount of time a bank teller spends with each customer has a population mean of 3 minutes and a standard deviation of 0.40 minute. A random sample of 64 customers is selected. There is a 95% chance that the sample mean is less than how many minutes? Round your answer to three decimal places. QUESTION 18 An automotive repair shop has determined that the service time on an automobile is normally distributed with a mean of 100 minutes and a standard deviation of 15 minutes. What is the probability that a random sample of 9 automotive services will have a mean service time greater than 115 minutes? Round your answer to four decimal places. QUESTION 19 Salaries of computer engineers in UAE are strongly right skewed with mean AED 34000 and standard deviation AED 4500. A random sample of 9 computer engineers is taken. What is the probability that the average salary of the sample is more than AED 32000? 0.9088 0.0912 Not enough information 0.1545
Question 4
Question 5 The secretary of an association of professional landscape gardeners claims that the average cost of services to customers is $90 per month. Feeling that this figure is too high and the average cost of services to customers is less than $90 per month, we question a random sample of 14 customers. Our sample yields a mean cost of $85 and a standard deviation of $10. Test at the 0.10 significance level. Assume that such costs are normally distributed. Show all steps.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.
Question 3 Assume the average teenager sends 250 text messages per day. You sample 28 local teenagers and find that they send 232 messages per day with a standard deviation (calculated with the correction) of 64 messages per day. What decision would you make based on these data? Fail to reject the null hypothesis; we cannot conclude that there is any difference between our sample and the nation. Fail to reject the null hypothesis; the local teenagers text more than the national average. Reject the null hypothesis; there is no evidence of a difference between our sample and the nation. Reject the null hypothesis; our sample sends significantly fewer text messages than the national average.
Question 8 A factory makes bath bombs. According to the factory, the weight of a bath bomb has a mean of 4.20 oz and standard deviation of 0.5 oz. To verify whether the bath bomb indeed has a mean weight of 4.20 oz, we sampled 144 bath bombs and found a sample mean of 4.15 oz. Please compute the p-value for the hypothesis test that verifies whether the mean weight of the soap equals 4.20 oz or not: Please round your result to 2 decimal places. Answer (Correctly):____________________-
Question 25: The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. An article in the The Wall Street Journal claims that the average birth weight is decreasing over time. A local hospital wanted to see if the claim was true and randomly sampled 23 baby's weights and found an average weight of 7.1 pounds. Test the claim using a 1% level of significance that the mean weight significantly smaller than the national average of 7.5 pounds. Use the population standard deviation of 1.25 pounds. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols.) H0: pounds H1: pounds Based on the hypotheses, find the following: Test Statistic = p-value = The correct decision is to The correct summary would be: that the mean weight significantly smaller than the national average of 7.5 pounds. What is the…

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