GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows amean of 3.59 mg of mercury.(a) State the hypotheses for a right-tailed test, using GreenBeam's claim as the null hypothesis about the mean.a. He: 23.5 mg vs. H₁: < 3.5 mgb. Ho:> 3.5 mg3.5 mg vs. H₁:-3.5 mg vs. H₁:c. He:# 3.5 mgaObOc(b) Assuming a known standard deviation of 0.18 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answerto 2 decimal places.)Test statistic (c) At the 1 percent level of significance (a = .01) does the sample exceed the manufacturer's claim?YesO No(d) Find the p-value. (Round your answer to 4 decimal places.)p-value

Given Level of significance ɑ=0.01, mean μ=3.5, n=25, sample mean x̄=3.59

Answered: GreenBeam Ltd. claims that its compact…

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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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. What are the null and alternative hypotheses? OA. H₂:0²=0²2 H₁:0² > 0²/2 2 OC. Ho: 0² = 0² 0²2 2 H₁: 0²1 2 OB. Ho: 00₂ H₁:0² <0² OD. Ho: 0₁ 0₂ H₁: 0²₁ = 0²/2 n Sham 20 Magnet 20 X S 0.43 1.37 0.47 0.94
A, B, and c
A hamburger chain states that its hamburgers weigh on average ¼ of a pound prior to cooking. We don't believe them so we test if the mean weight for all the hamburgers at this chain is less than pound. From a sample of 50 hamburgers we find a mean of 0.23 pounds. The alternative hypothesis is: HA: µ< 0.23 HA: p = 0.25 HA: p = 0.23 HA: µ< 0.25 Ha: < 0.25
A researcher wants to check the claim that a certain species of reptile spend an average of 18.9 months in quaratine before being transported to another facility. She takes a random sample of 29 such cases from files and finds that I = 18 months and the sample standard deviation, s = 3 months. Test the claim at the 0.01 significance level.
the researcher wishes to use numerical descriptive measures to summarize the data on each ofthe two variables: hours worked per week and yearly income.a) Prepare and display a numerical summary report for each of the two variables including summary measures such as mean, median, range, variance, standard deviation, smallest and largest values and the three quartiles.Notes: Use QUARTILE.EXC command to generate the three quartiles. b) Compute the correlation coefficient using the relevant Excel function to measure the direction and strength of the linear relationship between the two variables. Display and interpret the correlation value.
A powder diet is tested on 49 people and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher average weight loss than the powder diet. The powder diet group had an average weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had an average weight loss of 45 pounds with a standard deviation of 14 pounds. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.)
A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.53. You believe that the proportion is actually less than 0.53. The hypotheses for this test are Null Hypothesis: p > 0.53, Alternative Hypothesis: p < 0.53. If you select a random sample of 27 people and 18 have a food allergy and/or sensitivity, what is your test statistic and p-value? 1) Test Statistic: 1.423, P-Value: 0.923 2) Test Statistic: -1.423, P-Value: 0.077 3) Test Statistic: -1.423, P-Value: 0.923 4) Test Statistic: 1.423, P-Value: 0.077 5) Test Statistic: 1.423, P-Value: 1.846
A researcher administers a treatment to a sample from a population with a mean of µ=60. If the treatment is expected to increase scores and a one-tailed test is used to evaluate the treatment effect, then the alternative hypothesis would state that u> 60. A. true B. false
33
A traffic coordinator for a community wishes to determine whether or not there is any difference in the average age of female and male drivers involved in rear-end accidents. The hypothesis test is: Ho: 41 = 42 (no difference in mean age) 10 H1: (mean age is different) A random sample of males and females involved in rear-end accidents results in the following Minitab summary: N MEAN MEDIAN TRMEAN STDEV SE MEAN FEMALES 33 23.91 20.00 23.38 9.77 1.70 MALES 38 28.87 28.50 28.44 9.67 1.57 а). What is the value of the test statistic? Appropriate test: Test statistic = b). What is the decision rule at the 0.025 level of significance? с). What is the conclusion?
A researcher intends to estimate the effect of a drug on the scores of human subjects performing a task of psychomotor coordination. The members of a random sample of 9 subjects were given the drug prior to testing. The mean score in this group was 9.23, and the sample variance was 17.04. An independent random sample of 10 subjects was used as a control group and given a placebo prior to testing. The mean score in this control group was 15.93, and the sample variance was 27.44. Assuming that the population distributions are normal with equal variances, find a 90% confidence interval for the difference between the population mean scores. The confidence interval is
I got stuck on how to do the work for these, with null hypothesis.

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