6. An automatic Coffeedispenser is advertised topour u=16 oz of coffeewith a standarddeviation of o-0.1 oz.An unsatisfied customerwants to know if theautomatic Coffeedispenser pours less than16 oz on average. Arandom sample of n=49cups of coffee is takenand is found to have asample mean x = 15.96oz. Use a a-5% level ofsignificance to test if thepopulation mean u isless than 16 oz.a) State the null andalternate hypothesis.b) Find the test statistic(either z or t).c) Find the p-value orsketch the criticalregion.d) State whether youwill reject or fail toreject the null

The following information has been provided. Hypothesized population = 16 Sample size = 49 Sample…

Answered: 6. An automatic Coffee dispenser is…

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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Listed below are the lead concentrations in muμg/g measured in different traditional medicines. Use a 0.010.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 1515 muμg/g. Assume that the lead concentrations in traditional medicines are normally distributed. 12 22.5 8 3 9.5 22.5 12.5 13.5 10.5 10.5 What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=1515 muμg/g Upper H 1H1: muμless than<1515 muμg/g Your answer is correct. B. Upper H 0H0: muμequals=1515 muμg/g Upper H 1H1: muμgreater than>1515 muμg/g C. Upper H 0H0: muμgreater than>1515 muμg/g Upper H 1H1: muμless than<1515 muμg/g D. Upper H 0H0: muμequals=1515 muμg/g Upper H 1H1: muμnot equals≠1515 muμg/g Determine the test statistic: ?? (Round to two decimal places as needed.)
2. Consider a study where students are measured on whether they had an internship during their time at WKU (Y/N) and whether they had a job at graduation (Y/N). If we wanted to test whether having an internship was associated with having a job at graduation (i.e., internship holders were more likely to have jobs), why would the chi-square test be inappropriate for this hypothesis? How should we analyze our data?
Suppose a researcher is interested in the relationship between periodontal disease and a number of negative health outcomes. One outcome of particular interest to the researcher is hypertension (assume defined as systolic blood pressure above 140 mmHG). Suppose a team gathers a SRS of 348 participants with periodontal disease, and finds the sample average systolic blood pressure to be 157 mmHG. A) Using an assumed σ=16 mmHG, conduct a 1 sample Z test to determine if there is a relationship between periodontal disease and hypertension in this population. (Use α=0.05)
3) A firm in Lebanon has developed a chemical solution that can be added to car gasolinewhich they believe will increase the miles per gallon that cars will get. The owners areinterested in estimating the difference between mean mpg for cars using the chemicalsolution versus those that are not using the solution. The following data represent the mpgfor independent random samples of cars from each population.with Solution without Solution______________________________n1 = 36 n2 = 42 x1 = 25.45 x2 = 24.1 _______________________________Assume that the populations are normally distributed and the population standarddeviations are known to be σ1 = 3.95 (with solution) and σ2 = 3.09 (without solution).Given this data, can the owners believe that there is a difference between mean mpg forcars using the chemical solution versus those that are not using the solution? Test using analpha level equal to 0.05.4) Given the following null and alternative hypothesis:H0: σ 2 ≤ 52HA : σ 2 > 52and the…
The mean ±1 sd of ln [calcium intake (mg)] among 25 females, 12 to 14 years of age, below the poverty level is 6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake (mg)] among 40 females, 12 to 14 years of age, above the poverty level is 6.80 ± 0.76. State your full conclusions in terms of the statistical problem and the medical problem stated above. Compute a 95% CI for the difference in means between the two groups.
What is the kurtosis for a distribution with a mean of 12.00 and a mode of 12.00?
7. The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.3 and that the mean is 5.25. (Use α = 0.05)
Listed below are the lead concentrations in muμg/g measured in different traditional medicines. Use a 0.010.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 1717 muμg/g. Assume that the lead concentrations in traditional medicines are normally distributed. 1010 13.513.5 16.516.5 19.519.5 2121 13.513.5 3.53.5 22.522.5 1313 3.53.5 What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g B. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμgreater than>1717 muμg/g C. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμnot equals≠1717 muμg/g D. Upper H 0H0: muμgreater than>1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to…

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