6) Two Suppliers produce the exact component for a particular Customer. Random samples were drawn from the last lot sent in by each Supplier to see if they had any significant difference. Supplier “A” had a mean of 1.607” with a standard deviation of .0020 from a sample of 10 parts. Supplier “B” had a mean of 1.606” with a standard deviation equal to .0018 from a sample of 10 parts. The Customer target value is 1.606”. Supplier “B” charges $3.00 per part more than Supplier “A”. Which recommendation below would you make to your boss? Use a 95% confidence level. (HINT: Use t-test for between two independent populations. First do F-Test to see if you need to use 2 Sample T-Test Assuming Equal Variances or 2 Sample T-Test Assuming Unequal Variances). Show all work or use Minitab/Excel. No work no credit.
A) Go with Supplier “B” only since B hit target on nose with smaller variation.
B) Go with either Supplier “A” or “B” since we could not reject the null hypothesis and conclude no significant difference between the two Suppliers.
C) Go with Supplier “A” as the primary Supplier and use “B” as a backup since we could not reject the null hypothesis and conclude no significant difference between the two Suppliers. Since they are not significantly different, we can save money going with Supplier “A”.
D) Get out of both Suppliers since neither are meeting the Customer requirement.
6) Two Suppliers produce the exact component for a particular Customer. Random samples were drawn from...
19 Two Suppliers produce the exact component for a particular Customer. Random samples were drawn from the last lot sent in by each Supplier to see if they had any significant difference. Supplier "A" had a mean of 1.607" with a standard deviation of.0020 from a sample of 10 parts. Supplier "B" had a mean of 1.606" with a standard deviation equal to 0018 from a sample of 10 parts. The Customer target value is 1.606". Supplier "B" charges $3.00...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left. No, the...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 14.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.No, the x distribution is skewed left. No, the x distribution...
Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from company A was s1...
In order to compare the means of two populations, independent random samples of 220 observations are selected from each population, with the following results: Sample 1 Sample 2 ?⎯⎯⎯1=0 ?⎯⎯⎯2=5 ?1=165 ?2=200 (a) Use a 97 % confidence interval to estimate the difference between the population means (?1−?2). ≤(?1−?2)≤ (b) Test the null hypothesis: ?0:(?1−?2)=0 versus the alternative hypothesis: ??:(?1−?2)≠0. Using ?=0.03, give the following: the test statistic ?= The final conclusion is: A. There is not sufficient evidence to...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1 9.74, 9.04, 8.06, 6.09, 7.51 Sample 2 |[25.96, 26,27, 26,34, 39.09, 33.88, 28.87, 33.46] We are interested in testing the null hypothesis that the two population variances are equal, against the one-sided alternative that the variance of Population 1 is larger than the variance of Population 2. Define Population 1 to be the population with the larger sample variance a) What are the appropriate...
Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded on in Home Districts Less than S to 10 More than 5 Billion Billion 10 biltion Party Row Total Republicarn Column Total 92 (0) Make a cluster bar graph showing the percentages of Congress...
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.33 5.84 5.98 5.77 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.340. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 5.91 5.77 6.47 6.75...
Consider a situation where we want to compare means, M1 and 42 of two populations, Group 1 and Group 2, respectively. A random sample of 40 observations was selected from each of the two populations. The following table shows the two-sample t test results at a = 5% assuming equal population variances: t-Test: Two-Sample Assuming Equal Variances Group 2 28652 33.460 40 Mean Variance Observations Pooled Variance Hypothesized Mean Difference d t Stat PTcut) one-tail Critical one-tail PTC-t) two-tail Critical...
(2 pts) Consider the test of the claims that the two samples described below come from two populations whose means are equal vs. the alternative that the population means are different. Assume that the samples are independent simple random samples and that both populations are approximately normal with equal variances. Use a significance level of α-0.01 Sample 1: ni - 17, x1- 21, s1 10 Sample 2: n2 -4, x2-29, s2 -5 (a) Degrees of freedom - (b) The test...