A consumer products manufacturer is formulating a new shampoo and isinterested in foam height (in millimeters). Foam height is approximately normallydistributed with a standard deviation of 18 millimeters and sample mean of 190.The manufacturer wishes to test the hypothesis that the population mean isgreater than 180 millimeters by using 40 samples. Use alpha 0.05.The critical value is Z = Blank 1The test statistic is Z = Blank 2Decision is to Blank 3 the null hypothesis (accept or reject)Blank 1Add your answerBlank 2Add your answerBlank 3Add your answer

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Answered: A consumer products manufacturer is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The average salary in this city is $43,200. Is the average more for single people? 47 randomly selected single people who were surveyed had an average salary of $49,485 and a standard deviation of $16,570. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer ≠ < = > H1:H1: ? p μ Select an answer > ≠ = < The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis.
A sample of 12 concrete specimens from supplier A were tested for their compressive strength. The results gave an average of 85 MPa and a standard deviation of 4 MPa. From supplier B, 10 specimens were similarly tested and gave an average compressive strength of 81 MPa and a standard deviation of 5 MPa. (a) Using procedures of Hypothesis Testing, can we conclude at the 0.05 level of significance that the compressive strength of concrete from A exceeds that from B by more than 2 MPa? Assume the populations to be approximately normal with equal variances. (b) Is the assumption of equal variances in (a) justifiable at an a = 0.10?
An insurance company is interested in studying the mean hospitalization time of patients who suffer strokes at a certain hospital. The hospital claims the mean length of stay is 22 days, but the insurance company believes it is less than claimed. A random sample of 9 patients showed a sample mean stay of 18 days with a sample standard deviation of 3 days. They would like to conduct the test using alpha = 0.1. %3D Calculate the test statistic for the test and enter your answer in the first blank. Round your answer to two decimals. Enter the critical value cutoff point for the rejection region in the second blank. Blank # 1 Blank # 2 Next Page Page 8 of 15 126 NOV 18 MacBook Pro
An automatic filling machine is used to fill bottles with liquid detergent. A random sample of 20 bottles results in a sample variance of fill volume of s2 = 0.0153 (fluid ounces) 2. If the variance of fill volume exceeds 0.01 (fluid ounces)2, an unacceptable proportion of bottles will be underfilled or overfilled. Using a level of significance of 0.05, and assuming that fill volume has a normal distribution, answer the following questions. If χ2critical = 30.14, is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles?
A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.4 ounces. A random sample of 25 boxes yielded a sample mean weight of 19.59 ounces. Test at the 1% significance level the null hypothesis that the population mean weight is at least 20 ounces. What are the null and alternative hypotheses for this test? Ο Α. Η: με 20 H₁: μ> 20 OC. H₂ = 20 Η;: μ = 19.59 OA. Reject H₂ if For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and za or Za/2, what is the form of the decision rule? OB. Reject Ho if OC. Reject Ho if X-Ho 0/√n X-Ho 0/√n ->Za X-Ho Zal2 OB. Ho: μ=20 H₁: μ#20 OD. Ho: ≥20 H₁: μ<20 is is not significant evidence that the population mean weight is not at least 20 ounces.
A company is doing a hypothesis test on the variation of quality from two suppliers. Both distributions are normal, and the populations are independent. use a = 0.01 2 H0:01 HA: 01 > 2 2 02² 10₂² The standard deviation of the first sample is 2.2077 5.1485 is the standard deviation of the second sample. The test statistic is =
You wish to test the claim that the average IQ score is less than 100 at the .10 significance level. You determine the hypotheses are: Ho: μ=100Ho: μ=100 H1:μ<100H1:μ<100 You take a simple random sample of 73 individuals and find the mean IQ score is 95.2, with a standard deviation of 15.1. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ…
A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
.Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 16 ounces of ice cream per month. A random sample of 15 Americans was found to consume an average of 17.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set alpha is 0.05. The critical value for this hypothesis test would be
A random sample of 23 bags of apples (marked as 10 pounds each) received by a large grocery chain tested out as having a mean of 9.2 pounds with a variance of 2.56 pounds. Test whether the true mean of all bags is under 10 pounds. Set up hypotheses. Perform the appropriate test by showing your formula. Interpret the results using a Type I (alpha) error of .05. Also provide the p value here. Also construct a 95% confidence interval around your sample mean (X bar) that should contain the true mean (mu). Also interpret this interval.
The random variable, x is a water quality parameter, suspended solids with units of parts per million (ppm). A sample size of 60 yields a mean of 59.87 ppm, and a standard deviation of 12.5 ppm. Water quality criteria requires that the suspended solids do not exceed a mean, µ, = 50 ppm . Test the hypotheses H.: u = µ, vs. HA: u > H. (right-tailed test) at a level of significance of 5 % and assume the pop variance is known.
Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 16 ounces of ice cream per month. A random sample of 15 Americans was found to consume an average of 17.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set alpha = 0.05. The correct hypothesis statement for this hypothesis test would be

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