9.2/ 2Identify the test statisticp-value **Data on Weights of Soda Cans**This section explores the comparison of weights (in pounds) between cans of diet soda and regular soda. The summary data provided is based on independent simple random samples from normally distributed populations, and it is important to note that we do not assume equality of population standard deviations. The analysis uses a 0.01 significance level.**Summary of Data:**- **Diet Soda:** - Mean (\(\mu_1\)): Not specified directly - Sample size (\(n\)): 36 - Sample mean (\(\overline{x}\)): 0.78021 lb - Sample standard deviation (\(s\)): 0.00434 lb- **Regular Soda:** - Mean (\(\mu_2\)): Not specified directly - Sample size (\(n\)): 36 - Sample mean (\(\overline{x}\)): 0.81413 lb - Sample standard deviation (\(s\)): 0.00743 lb**Hypothesis Test:***Objective:* Test the claim that the mean weight of diet soda cans is less than that of regular soda cans.**Null and Alternative Hypotheses Options:**- **Option A:** - \(H_0: \mu_1 = \mu_2\) - \(H_1: \mu_1 > \mu_2\)- **Option B:** - \(H_0: \mu_1 = \mu_2\) - \(H_1: \mu_1 \neq \mu_2\)- **Option C:** - \(H_0: \mu_1 = \mu_2\) - \(H_1: \mu_1 < \mu_2\)- **Option D:** - \(H_0: \mu_1 \neq \mu_2\) - \(H_1: \mu_1 < \mu_2\)The correct hypothesis to test the claim that the mean weight of diet soda cans is less than that of regular soda cans is **Option C**:- Null Hypothesis (\(H_0\)): \(\mu_1 = \mu_2\) - The mean weight of diet soda cans is equal to the mean weight of regular soda cans.- Alternative Hypothesis (\(

Given data Null Hypothesis: H0: µ1 = µ2 Alternative Hypothesis: H1: µ1 < µ2 Pooled standard…

Answered: Diet Data on the weights (Ib) of the…

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 sample mean and standard deviation from a random sample of 32 observations from a normal population were computed asx =25 and s = 10. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 8% significance level that the population mean is greater than 22.Test Statistic =
* The plant manager believes that the operators take a lunch break for more than 60 minutes. A sample of 15 operators from a normal population were randomly selected, and it was found out that their mean lunch break is 60 minutes with a standard deviation of 5 minutes. At 0.05 level of significance, is the mean lunch break greater than 60 minutes?
7. Scores on the Standard-Binet Intelligence Test (IQ) are normally distributed with mean ? = 100 and standard deviation ? = 16. In order to qualify for membership in a certain organization, one must have an IQ at the 90% percentile. What is the minimum IQ score required for membership in this organization?
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The following data are the daily number of minutes of smartphone use for a random sample of 8students at your institution: 117, 156, 89, 72, 116, 125, 101, 100.(You may use t(df=7, 0.05) = -1.895) (a) Test the null hypothesis according to which the true mean is greater or equal to 100 minagainst the alternative that it is less than 100. Use a significance level of 5% (state the test statistic and the conclusion).
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Aspirin is packed in 150 tab bottles with weight normally distributed with mean 750g and standard deviation 8g. Rejected bottles are those whose weight differs from the mean weight by 18g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 10,000 bottles. 1)Do we have to calculate one z-score or two z-scores? 2)The negative z-score is _____ ( rounded to two decimal digits) 3)The positive z-score is ______ (rounded to two decimal digits) 4)The sketch of the normal curve that describes the question is graph looks like what? 5)How many bottles, of the 10000, do we anticipate to reject?
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Careful analysis of a random sample of n=16 pages of a Huge Government Document published by the Office Of Printed Statistical Information (OOPSI) revealed a mean of, 5.2 spelling and/or errors of grammar per page. The standard deviation o of the number of errors per page is 3.6. does this data provide significant evidence (at, the, 5% level) that the true mean number of errors per page is less than 7 and thus good, enough for government work? State null and alternative hypothesis, calculate the test statistic, determine the P-value, and state your conclusion.
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