Practicing the Skills7. A test was made of Ho: H1 = H2 versus H1: H1 < M2.sample means were x, = 6 and i, = 11, the sample standarddeviations were s1 3 and s2 = 5, and the sample sizes weren = 10 and n2 = 20.a. How many degrees of freedom are there for the test statistic,using the simple method?b. Compute the value of the test statistic.c. Is Ho rejected at the 0.05 level? Explain.The%D%3D

Given Data : For Sample 1 x̄1 = 6.0 s1 = 3.0 n1 = 10 For Sample 2…

Answered: 7. A test was made of Ho: H1 = µ2…

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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Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. x / 6 2 3 2 3 y / 8 7 9 7 14 Compute the absolute value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the P-value reported from the "2-sample t- test" from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads…
can you please provide explanations
A scrap metal dealer claims that the mean of his cash sales is 'no more than R80', but an Internal Revenue Service agent believes the dealer is untruthful. The agent randomly selects a sample of 20 cash customers and find the mean purchase to be R91, with a variance of R441. The test statistic (rounded off to four decimals) is: A. T = 2.3425 B. Z = 2.3425 C. T = 0.0113 D. Z = 0.2381
Find x °x and Ps for all possible samples of 187 values taken from a Normally distributed population with u = 66.34 and o = 44.02 What is the mean of the population consisting of all possible sample means? %3D What is the standard deviation of the population consisting of all possible sample means? What is the variance of the population consisting of all possible sample means? %3D What is the mean of the population consisting of all possible sample variances? %3D (Round to 4 decimal places as needed) Vi (1,1) More Clear all Ask my instructor
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 20 20 x 0.78646 lb 0.80233 lb s 0.00449 lb 0.00755 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is…
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Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd = 0. x / 734 13 y / 99 8 7 13 Compute the value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 26 26 x 0.78073 lb 0.80038 lb s 0.00447 lb 0.00745 lb Question content area bottom Part 1 a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1>μ2 B. H0: μ1=μ2 H1: μ1<μ2 Your answer is correct. C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Part 2 The test statistic, t, is…
A sample tested the claim that heights of men and heights of women have difference variances, with s = 7.44592 cm for women and 7.12432 cm for men. The sample sizes are n₁ = 142 and n₂ = 159. When using the F test with these data, is it correct to reason that there is no need to check for normality because n₁ > 30 and n₂ > 30? Choose the correct answer below. O A. No. The F test has a requirement that samples be from normally distributed populations, regardless of how large the samples are. ⒸB. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. O C. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored for large samples (n, and no greater than 30). O D. No. There is no need to check for normality as long as n₁ ≥ 10 and n₂ ≥ 10.

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