A hypothesis test procedure uses paired samples to compare the mean paired difference of a population of paired observations to the number 4.7. A simple random sample of 33 paired differences is collected, yielding the following sample statistics:\[\bar{x}_1 = 25.9 , \quad \bar{x}_2 = 24.2 , \quad s_1 = 4.2 , \quad s_2 = 6.9 , \quad s_d = 6.1\]Compute the test statistic for the following null and alternative hypotheses. Use two decimal place accuracy.\[ H_0 : \mu_1 - \mu_2 = 4.7 \]\[ H_A : \mu_1 - \mu_2 < 4.7 \]

The difference is taken as before –after. The hypotheses to be tested are: Null hypothesis: H0: μ1-…

Answered: A hypothesis test procedure uses paired…

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 accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There interaction between gender and age. H₁: There interaction between gender and age. What is the value of the test statistic for this test? O B. Ho: The row values are from populations with the same standard deviation. H₁: At least one of the rows is sampled from a population with a standard deviation different from the others. F= (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this test? P-value = (Round to three decimal places as needed.) State the conclusion of this test. Ho. There sufficient evidence to warrant rejection of the claim that pulse rates are not affected by an interaction between gender and age. There State the null and alternative…
Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare the means of two populations. For each part, decide whether you would use the paired t-test, the pairedWilcoxon signed-rank test, or neither of these tests. Preliminary data analyses of the sample of paired differences suggest that the distribution of the paired-difference variable is a. approximately normal.b. highly skewed; the sample size is 20.c. symmetric bimodal
A machine produces bolts with an average length of 16 inches. A manager selects a sample of 25 bolts. The average length in the sample was 15.95 inches with a variance of 0.4 inches.The acceptable variance for the length is 0.3 inches. (Note that 1 inch is equivalent to 2.54 cm). a. Construct a 95% confidence interval for the population variance. b. State the null and alternative hypotheses to test whether or not the population variance equals 0.3 inches. c. Compute the test statistic. d. The null hypothesis is to be tested at the 5% level of significance. State the decision rule for the test using the critical value approach. e. What do you conclude about the population variance?
In attempting to improve student services, a college investigates its registration process and finds that for 12 randomly selected students, the mean registration time was 73.2 minutes with a standard deviation of 14.2 minutes. Another college finds that for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assume equal population variances.
Given two independent random samples with the following results: n₁ = 651 x₁ = 307 n2 = 569 x2 = 234 Can it be concluded that there is a difference between the two population proportions? Use a significance level of a = 0.02 for the test. Copy Data Step 5 of 6: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.
Two groups were selected for an experiment. The sample data is reported: Group A Group B Sample Mean Spending/day ($) 170 150 Sample Standard deviation ($) 10 5 # of Females 9 7 Sample Size 36 42 a. Set up a 99% confidence interval for the mean difference in spending between the two groups. b. At the 10% level test the alternate hypothesis that group B has lower spending level than Group A.
Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level) z0=−1.75 p=0.0401 Select the correct answer below: a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. c. Reject the null hypothesis because the value of z is negative. d. Reject the null hypothesis because |−1.75|>0.04. e. Do not reject the null hypothesis because |−1.75|>0.04.
An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ 5 MHE n 25 X 18.29 25 20.92 S 1.37 2.43
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? What is the test statistic, t? What is the P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
A two-sample hypothesis test is comparing the averages of the following populations. Population 1 is the salary of female employees and Population 2 is the salary of male employees. A hypothesis test was conducted to see if the average salary of males is greater than the average salary of females. Using the following as the output of the test, state the P-value and interpret the results in context to the problem. Use a significance level of 5% Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Females Males 65,852.00 89,562.00 1,003.00 1,025.00 45 30 0 37 -1.26 0.1200 1.3300 0.2400 1.2800 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt EEVA V Tx XQ5 二三 ||||| WORDS POWERED BY TINY
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
We have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level. x = 21, s = 4, n = 32, H0: μ = 22, Ha: μ<22

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