7) Consider the following null and alternative hypothesis.Ho : u =120 versus H1 u > 120A random sample of 81 observations taken from this population produced a sample mean of123.5 and a sample standard deviation of 15. If this test is made at the 2.5% significance level, would youreject the null hypothesis?Solution:I.Statement of the Hypothesis:НоH1II.Statistical Test:III.Level of Significance and Critical Value:IV.Computed value of Z:V.Conclusion:

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Answered: 7) Consider the following null and…

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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a. State the Null and Alternative Hypotheses b. Choose the appropriate statistical test c. Determine the Level of Significance and the Critical Value & Solve for the computed value
Consider the following hypothesis test: Но: и > 20 На: и < 20 A sample of 40 provided a sample mean of 19.3. The population standard deviation is 2.0. a. Compute the value of the test statistic (to 2 decimals). Enter negative value as negative number. -2.21 b. What is the p-value (to 4 decimals)? c. Using a = 0.05, can it be concluded that the population mean is less than 20? - Select your answer -
A sample of 20 third-grade students had a average of 54 on a math proficiency test, with a sample standard deviation of 11. Is there enough evidence to conclude that the third-grade sample mean differs significantly from the third-grade population mean of 67? Assume a 0.02 significance level. Use the Critical Value Method of Testing (this means NO P-Values!). will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject Ho
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
In testing the difference between two population means using two independent samples, the population standard deviations are assumed to be known, and the calculated test statistic equals 2.75. If the test is two-tail and 5% level of significance has been specified, the conclusion should not be reject the null hypothesis. Select one: True False
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that Η = 1.5°C, test the claim that the population mean is 22°C. Use a 0.05 significance level.
4. The population mean zinc mass for a certain battery brand is believed to be 3.0 g. However, a recent random sample of 61 batteries had a mean mass of 3.08 g with sample standard deviation .152 g. Does this data provide compelling evidence that the population mean zinc mass exceeds 3.0 g? (a) Define the appropriate null and alternative hypotheses. (b) Using a significance level of .01, does this data provide compelling evidence that the population mean zinc mass exceeds 3.0 g?
Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 32 minutes. Assume that a simple random sample has been selected. Use a 0.10 significance level. Compare the sample mean to the claimed mean of 32 minutes. Is the difference between those two values statistically significant? 451030302050151520254513402045151550251045151051560302020251542204540601520570104535126030307103010606035304510306010204520255515201210485254530903025203010253020903020151583025720306030102052520406020251590141520203545304040301045606025155725606060301515509010302520202030153053510404530104030453020401412040251020154015353060251053015601560303045154525103010153010283010301028153035452030 Identify the null and alternative hypotheses. H0: ▼ sigmaσ muμ pp ▼ equals= greater than> not equals≠ less than< enter your response here H1: ▼ sigmaσ pp muμ ▼ equals= less than< not equals≠ greater than> enter…
The claim is that weights (grams) of quarters made after 1964 have a mean equal to 5.670 g as required by mint specifications. The sample size is n = 32 and the test statistic is t=-3.177. 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. H₁: 5.670 5.670 (Type integers or decimals. Do not round.) The test statistic is. (Round to two decimal places as needed.)
In a two-sided test: (H₁: μ ‡ claimed value or Ho:p ‡ claimed value) If the statement of the problem does not indicate which alternate hypothesis to use then run a two-sided test. 2. Identify the significance level (c). If the problem does not give one then take a = 0.5 3. Find the critical value. You need to determine if you are using a Z dsitribution (proportions or mean where is known) or the t-distribution (mean where you approximate with s). For a left sided test: CV = invNorm(a) or invT(α, n-1) where n is the sample size (n-1 = degrees of freedom). For a right sided test: CV = invNorm(1-x) or invT(1-a, n-1) where n is the sample size (n-1 = degrees of freedom). For a two-sided test: CV's (there are TWO) = + invnorm() or invT(n-1)where n is the sample size (n-1 = degrees of freedom). 4. Find the test statistic For means: Z = or t = where is the assumed parameter in the null hypothesis. Vi For proportions: Z=-, where p is the assumed parameter in the null hypothesis. DI V 5. Find…
4.)
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…

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