(b) Suppose that Crown Bottling Company decides to use a level of significance of a = 0.01, and suppose a random sample of 32bottle fills is obtained from a test run of the filler. For each of the following four sample means--16.05, -15.91, x = 16.04, and =15.97-determine whether the filler's initial setup should be readjusted. In each case, use a critical value, a p-value, and a confidenceinterval. Assume that o equals 1. (Round your z to 2 decimal places and p-value to 4 decimal places and CI to 3 decimal places.)Z16.05p-valueCH The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles of the popular Crown Classic Colasoft drink. Both overfilling and underfilling bottles are undesirable: Underfilling leads to customer complaints and overfilling costs thecompany considerable money. In order to verify that the filler is set up correctly, the company wishes to see whether the mean bottlefill, μ, is close to the target fill of 16 ounces. To this end, a random sample of 32 filled bottles is selected from the output of a test fillerrun. If the sample results cast a substantial amount of doubt on the hypothesis that the mean bottle fill is the desired 16 ounces, thenthe filler's initial setup will be readjusted.(a) The bottling company wants to set up a hypothesis test so that the filler will be readjusted if the null hypothesis is rejected. Set upthe null and alternative hypotheses for this hypothesis test.16 versus Ha: uHO: U16

Let μ be the mean amount of bottles filled. Given that, Population mean (μ)=16Sample size (n) =…

Answered: (b) Suppose that Crown Bottling Company…

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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Suppose you conduct a 1-way ANOVA, in which you are comparing a continuous measure of immune response between 3 treatment groups (A, B, and C). The overall alpha level is set at 0.05. You ask for all pairwise comparisons, and you find that the unadjusted p-values for these comparisons are as follows: A vs. B: p=0.0333 A vs. C: p=0.1500 B vs. C: p=0.0100 Which of the following statements is true? Question 20 options: No correction for multiple hypothesis testing would be necessary in this situation. After a Bonferroni correction, the difference between groups B and C would remain statistically significant. After a Bonferroni correction, none of the p-values would remain statistically significant. After a Bonferroni correction, the difference between groups A and B and between groups B and C would remain statistically significant. After a Bonferroni correction, all of the p-values would remain…
a. Find the t values that form the boundaries of the critical region for a two-tailed test with ? = .05 for a sample size of n = 12. b. Repeat the above for a one-tailed test, with ? = .05.
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Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site. Pond 1: 37.03, 37.45, 36.75, 37.54, 37.71, 37.02, 37.32 Pond 2: 38.89, 39.05, 38.51, 38.53, 38.71 Use a 2% significance level to test the claim that the two ponds have the same mean salinity value. Assume that nothing is known about the population distribution of salinities. (a) Enter the rank values in the same order as in the original sample. The rank values for Pond 1 are: The rank values for Pond 2 are: (b) The test statistic is: . (c) The test critical value is: . (d) The conclusion isA. There is not sufficient evidence to indicate that the two ponds have different distributions of salinity values.B. There is sufficient evidence to indicate that the two ponds have different distributions of salinity values.
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