Perform the test of hypothesis indicated, at 0.10 level of significance, using the data from independent samples shown.Ho : µi – µ230, ã112, ã2 = 60, s215 versus Hı : µ1 – l2 < –1542, s1n1n2Note that in the context of testing hypotheses concerning two population means, "small samples" means that at least one sample issmall. In particular, even if one sample is of size 30 or more, if the other is of size less than 30, then a "small samples" scenarioapplies.The value of the test statistic is(Write your answer precise to two decimal places, e.g., -2.46, 1.83.)The hypothesis test is a one-tailed (left-tailed) test.The critical region is bounded by the critical valueThe outcome from the test is tothe null hypothesis. (Write "reject" or "not reject".)

There are two methods used to make conclusion about the test statistics. They are p value approach…

Answered: Perform the test of hypothesis…

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 nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusion
The test statistic of z= - 1.56 is obtained when testing the claim that p < 0.51. A) using a significance level a=0.01, find the critical value’s
A random sample of 50 students was asked to estimate how much money they spent on textbooks in a year. The sample skewness of these amounts was found to be 0.83 and the sample kurtosis was 3.98. Test at the 10% level the null hypothesis that the population dis- tribution of amounts spent is normal.
The test statistic of z=−1.81 is obtained when testing the claim that p<0.88. a. Using a significance level of α=0.01, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At α=0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Find the critical value(s) and identify the rejection region(s).
Arandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30
A random sample of 430 observations produced a sample proportion equal to 0.33. Find the critical and observed values ofzforth following test of hypotheses using alpha = 0.1 . H_{0} / p = 0.30 versus H_{1} / p > 0.30 .
The test statistic of z=-2.96 is obtained when testing the claim that p<0.59. Using a significance level of a=0.05. Find the critical value (s)
.A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05
A random sample of 430 observations produced a sample proportion equal to 0.39. Find the critical and observed values of z for the following test of hypotheses using α=0.025. H0: p=0.30 versus H1: p≠0.30. Round your answers to two decimal places.
Match the p-values with the appropriate conclusion: I. 0.00001 II. 0.0189 III. 0.0611 IV. 0.4234(a) The evidence against the null hypothesis is significant, but only at the 10% level. (b) The evidence against the null and in favor of the alternative is very strong. (c) There is not enough evidence to reject the null hypothesis, even at the 10% level. (d) The result is significant at a 5% level but not at a 1% level.
The test statistic of z = - 2.71 is obtained when testing the claim that p = 1/2. Using a significance level of a = 0.05, find the critical value(s) Should we reject Ho or should we fail to reject Ho?

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