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 YNMeanStDevSE Mean1353.942.650.231804.432.380.18Difference = mu (X) – mu (Y)Estimate for difference: -0.48444295% upper bound for difference: -0.007380T-Test of difference = 0 (vs <): T-Value = -1.68 P-Value = 0.047 DF = 270Is this a one-tailed or two-tailed test?a.b.What is the null hypothesis?Can H, be rejected at the 5% level? How can you tell?C.d.The output presents a Student's t test. Compute the P-value using a z test. Are the tworesults similar?Use the output and an appropriate table to compute a 99% confidence interval for Hy-Hy based on the z statistic.e.

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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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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.
Suppose 26 of 200 tires of brand A failed to last 30000 miles, whereas the corresponding figure for 200 tires of brands B was 32. Test the null hypothesis that there is no difference in the quality of the two kinds of tires at the α=:05 significance level.
Historically, the time spent by DCSI3710 students on trying to certify any HLS homework is known to have a mean of 35 minutes. In order to examine the claim that homework 12.2 was actually more time-consuming, an instructor asked 16 students how much time they spent on it. Assume that the p-value associated with the test statistic is 0.03. At a significance level of 0.01, what is the conclusion of the hypothesis test?
If 26 of 200 tires of brand A failed to last 30,000 miles,whereas the corresponding figures for 200 tires of brands B, C, and D were 23, 15, and 32, test the null hypothe-sis that there is no difference in the durability of the four kinds of tires at the 0.05 level of significance.
If a researcher were conducting a two-tailed/non-directional hypothesis test with an alpha of 0.10 and a sample of size n=120, what would the Zcrit value be?
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)
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…
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.)
This chart shows the results of two random samples that measured the average number of minutes per charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH) rechargeable batteries. Down below shows the hypothesis test using significance level (α) = 0.05 to determine if the true average number of minutes per charge for NiMH batteries is smaller than that for Li-ion batteries. 1. From the data given from the first graph below, what would be the correct p value? (the one tail or the two tail?) t-Test: Two-Sample Assuming Unequal Variances NiMH Li-ion Mean 89.35714 95 Variance 3.93956 59.75 Observations 14 17 Hypothesized Mean Difference 0 df 19 t Stat -2.89621 P(T<=t) one-tail 0.004628 t Critical one-tail 1.729133 P(T<=t) two-tail 0.009255 t Critical two-tail 2.093024 For the bottom graph: 1.. Find the point estimate (you can do this by subtracting Group 2…
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 401401 gram setting. Is there sufficient evidence at the 0.020.02 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. Answer
A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean difference
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.

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