The following MINITAB output presents the results of a hypothesis test for the differenceHx - Hy between two population means.Two-sample T for X vs YMeanStDevSE Mean1039.318.712.81029.124.791.5Difference = mu (X) – mu (Y)Estimate for difference: 10.197495% lower bound for difference: 4.6333T-Test of difference = 0 (vs >): T-Value = 3.25 P-Value = 0.003 DF = 13%3DIs this a one-tailed or two-tailed test?What is the null hypothesis?a.b.C.Can H, be rejected at the 1% level? How can you tell1?

a) Let µx and µy are the population mean of two populations. The hypotheses can be constructed as:…

Answered: The following MINITAB output presents…

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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The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 500 ml of water, and in the past the standard deviation of the population of bottles has be 7.5 ml. The technician dispenses 39 samples of water and determines the volumes have a mean of 498.3 ml. The technician wants to perform a hypothesis test at (alpha) = 0.05 level to determine whether the machine is not dispensing 500 ml, and is thus out of calibration. Hypothesis Statement: Test Value(s): So, we ____ the null hypothesis because ______. There ______ enough evidence to support the claim that the machine mean volume differs from 500 ml and is out of calibration.
Each day for 200 days, a quality engineer samples 144 fuses rated at 15 A and measures the amperage at which they burn out. He performs a hypothesis test of H0 : μ = 15 versus H1 : μ ≠ 15, where μ is the mean burnout amperage of the fuses manufactured that day. a) On 10 of the 200 days, H0 is rejected at the 5% level. Does this provide conclusive evidence that the mean burnout amperage was different from 15 A on at least one of the 200 days? Explain. b) Would the answer to part (a) be different if H0 had been rejected on 20 of the 200 days? Explain.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 425 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
Consider the following competing hypotheses and accompanying sample data drawn from a matched-pairs sample. H0: mD = 0HA: mD ≠ 0n = 40T− = 405T+ = 415 a. Determine the value of the z test statistic using a normal approximation for T. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
For a special pre-New Year's Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time, thus drinking an alcohol increases reaction time. The reaction times (in seconds) before and after consuming four drinks are in Sheet 11. Test a hypothesis to see if the showman claim is supported by the given data (use alpha=0.01 significance level). Sheet 11 Subject Before After 1 0,32 0,39 2 0,39 0,44 3 0,36 0,49 4 0,41 0,53 5 0,37 0,46 6 0,35 0,39 7 0,37 0,49 8 0,37 0,52 9 0,32 0,43 10 0,39 0,45 11 0,39 0,39 12 0,41 0,49 13 0,32 0,48 14 0,38 0,48 15 0,34 0,4 16 0,35 0,52 Select one: a. The alternative hypothesis that the reaction time before consuming alcohol is less than after is not accepted as the p-value= 0.0000 is less than alpha=0.005 b. The Null hypothesis that the reaction time before consuming alcohol is less than after is rejected…
An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data)
Listed below are the heights (in inches) of fathers and their first sons. The dataare from a journal kept by Francis Galton. Use a 0.05 significance level to testthe claim that there is no difference in heights between fathers and their firstsons. (State the null and alternate hypothesis, the p-value method to make adecision, and write a conclusion based on the results.) Height of Father 72.0 66.0 69.0 70.0 70.0 70.0 70.0 75.0 68.265.0Height of Son 73.0 68.0 68.0 71.0 70.0 70.0 71.0 71.0 70.063.0
The manufacturer of a spot remover claims that hisproduct removes 90 percent of all spots. If, in a random sample, only 174 of 200 spots were removed with the man-ufacturer’s product, test the null hypothesis θ = 0.90 against the alternative hypothesis θ < 0.90 at the 0.05level of significance.
If the null hypothesis Ho : mean = 17.0 is rejected at alpha = 0.01 when a mean of 21.0 is obtained from a random sample, ?
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 418 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. H0: Ha:
A hospital claims that the mean wait time for emergency room patients is more than 38 minutes. Identify the null hypothesis Ho, and the alternate hypothesis Ha in terms of the parameter

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