1. A manufacturing firm produces a part for which the standard deviation in the diameter must not exceed 0.05 cm. to comply with the manufacturing specifications. To test that the part is in compliance, the firm randomly samples 25 parts and measures the diameter of each piece. The sampled results are to be used to test whether the part complies with the specifications. The correct null and alternative hypotheses for this test would be Ho: o20.052 vs. Ha : o<0.05² а. 2 <0.05² vs. Ha : oʻ>0.05? b. Ho: 0 20.05² vs. Ha : 0<0.05² с. d. Ho: o= 0.05² vs. Ha : o+0.05²

1. A manufacturing firm produces a part for which the standard deviation in the diameter must not exceed 0.05 cm. to comply with the manufacturing specifications. To test that the part is in compliance, the firm randomly samples 25 parts and measures the diameter of each piece. The sampled results are to be used to test whether the part complies with the specifications. The correct null and alternative hypotheses for this test would be Ho: o20.052 vs. Ha : o<0.05² а. 2 <0.05² vs. Ha : oʻ>0.05? b. Ho: 0 20.05² vs. Ha : 0<0.05² с. d. Ho: o= 0.05² vs. Ha : o+0.05²

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Description: 1. A manufacturing firm produces a part for which the standard deviation in the diameter must notexceed 0.05 cm. to comply with the manufacturing specifications. To test that the part is in compliance,the firm randomly samples 25 parts and measures

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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8.6
a. State the Null and Alternative Hypotheses and Choose the appropriate statistical test b. Determine the Level of Significance and the Critical Value c. Solve for the computed value
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It is necessary for an automobile producer to estimate the number of miles per gallon achieved by its cars. Suppose that the sample mean for a random sample of 110 cars is 29.4 miles and assume the standard deviation is 3.4 miles. Now suppose the car producer wants to test the hypothesis that ?μ, the mean number of miles per gallon, is 32.4 against the alternative hypothesis that it is not 32.4 Conduct a test using ?=.05 by giving the following: (a) positive critical ? score (b) negative critical ? score (c) test statistic The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that ?=32.4B. We can reject the null hypothesis that ?=32.4 and accept that ?≠32.4
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The ages of the winners of a cycling tournament are aproximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.5 years. The winner in one recent year was 34 years old. a) Gransform the age to a z-score b) Interpret the results c) Determne whether the age is unusual. ---------------------------------------------------------- a) transform the age to a z-score z=_____ type an integer or decimal rounded to two decimal places as needed
FOR EACH PROBLEM BELOW, a) formulate the null and alternative hypotheses; b) Determine what test statist. to use; c) Calculate the test statistic value.
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8.2 Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is μ=17.00 Mbps. The sample size is n=21 and the test statistic is t=−1.798
The claim is that for 8 AM body temperatures of males, the mean is less than 98.6°F. The sample size is n = 36 and the test statistic is t= -3.675. Use technology to find the P-value. Based on the result, what is the final conclusion? Use a significance level of 0.01. State the null and alternative hypotheses. Ho: HV H₁: p V (Type integers or decimals. Do not round. Do not include the degree symbol in your answer.) The test statistic is. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Based on the P-value, there ▼sufficient evidence at a significance level of 0.01 to G ▼the claim that for 8 AM body temperatures of males, the mean is less than 98.6°F.
A sample of 38 observations is selected from one population with a population standard deviation of 3.0. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.2. The sample mean is 98.8. Conduct the following test of hypothesis using the 0.02 significance level. He: H₁ H₂ H₁ H₁ H₂ Required: a. Is this a one-talled or a two-talled test? O One-talled test Ⓒ Two-talled test b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject Hō if z is > Answer is complete but not entirely correct. the interval ( outside 1.96 X c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) 1.96 X
Assume a significance level of α=0.01 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 19bpm. The hypothesis test results in a P-value of 0.3876 A . State a conclusion about the null hypothesis. (Reject H0 or fail to rejectH0.) Choose the correct answer below. A. Reject H0 because the P-value is greater than α. B. Fail to reject H0 because the P-value is greater than α. C. Reject H0 because the P-value is less than or equal to α. D. Fail to reject H0 because the P-value is less than or equal to α b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A.There is not sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 19 bpm. B. The standard deviation of pulse rates of the group of…