The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested?Ho:O = 4H:What type of test is being conducted in this problem?Two-tailed testLeft-tailed testO Right-tailed testWhat parameter is being tested?Population proportionPopulation standard deviationPopulation meanO Time Remaining: 01:50:59NextDECtvMacBook ProSearch or type URL

We want to tell the what type of test can be conducted in this problem and which parameter is being…

Answered: The null and alternative hypotheses are…

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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What type of statistical test are you conducting if h1 states that the parameter is greater than the value claimed in h0? a) left-tailed b) right-tailed c) two-tailed d) dove-tailed
Let X1, ..., Xn be a sample from an exponential population with parameter λ.(a) Find the maximum likelihood estimator for λ. (b) Is the estimator unbiased?(c) Is the estimator consistent?
Rey examines the difference in the amount of carbon dioxide in the two types of mineral water. He performs a two-group t-test to compare the average carbon dioxide levels in the two groups. His hypotheses are H0: μ1 −μ2 = 0 and H1: μ1 −μ2 ̸ = 0. Rey also calculated a confidence interval for the difference between the means of the two groups (and used the same α as in the hypothesis test). Rey rejected the null hypothesis. Which of the following applies to the safety margin calculated by Rey? It contains the value zero. It contains 95% of the values that can occur when the experiment is performed. 3. It does not contain the value zero. It contains both values greater than zero and values less than zero. I do not know.
A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is ? = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use ? = 0.01. (a) State the null and alternate hypotheses.(Select the correct one) H0: ? = 1.75 yr; H1: ? ≠ 1.75 yr H0: ? > 1.75 yr; H1: ? = 1.75 yr H0: ? = 1.75 yr; H1: ? > 1.75 yr H0: ? = 1.75 yr; H1: ? < 1.75 yr (b) What is the value of the sample test statistic? Round your answer to three decimal places. (c) Estimate the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??(Selet which one is correct) We fail to reject the null hypothesis because the p-value is greater than ? = 0.01.…
Arsenic-based additives in chicken feed have been banned by the European Union. Ifa restaurant chain finds significant evidence that the mean arsenic level of theirchickens is above 80 ppb (parts per billion), the chain will stop using that supplier ofchicken meat. The hypotheses are: H 0 : µ = 80H 1 : µ > 80 where µ represents the mean arsenic level in all chicken meat from that supplier.Samples from two different suppliers are analyzed, and the resulting p-values aregiven: Sample from Supplier A: p-value is 0.0003Sample from Supplier B: p-value is 0.3500 a) Interpret each p-value in terms of the probability of the results happening byrandom chance. b) Which p-value shows stronger evidence for the alternative hypothesis? c) Which supplier, A or B, should the chain get chickens from in order to avoid toohigh a level of arsenic?
For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.
For each of the following settings, define the parameter of interest and write the appropriate null and alternative hypotheses for the test that is described. Consider the scenario ai from the previous question. Suppose you take an SRS of 50 avocados and find that the mean is 1.1 inches, which yields a p-value of 0.0542. Interpret the P-value in the context of the problem. What conclusion would you draw at the =0.05 level? At the =0.10 level?
1. Express the null hypothesis, H0 and the alternative hypothesis, H1 in symbolic form. Use the correct symbol (p, μ or σ ) for the indicated parameter. Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. 2. Assume that the data has a normal distribution and the number of observations is greater than 50. Find the critical z value used to test a null hypothesis if: α = 0.09 for a right tailed test. Show work.
The null and alternate hypotheses are:H0 : μ1 = μ2H1 : μ1 ≠ μ2A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.The population standard deviations are unknown but assumed to be equal. At the 0.05 significance level, is there a difference between the population means? a. State the decision rule. b. Compute the pooled estimate of the population variance c. Compute the test statistic. d. State your decision about the null hypothesis. e. The p-value is
The null and alternate hypotheses are:H0: μ₁ = μ2H1: μ₁ ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 26 and a sample standard deviation of 5.0. A random sample of 8 observations from another population revealed a sample mean of 30 and a sample standard deviation of 6.0. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means?
For the following setting, (a) describe the parameter of interest, and (b) state the appropriate hypotheses for a significance test. According to the website sleepdeprivation.com, 85% of teens are getting less than eight hours of sleep a night. Jannie wonders whether this result holds in her large high school. She asks an SRS of 100 students at the school how much sleep they get on a typical night. In all, 75 of the responders said less than 8 hours.
A veterinarian claims that the mean weight of adult German shepherd dogs is 75 pounds. The test statistic is -2.01 when a researcher applied hypothesis test to test a veterinarian's claim at ?=0.05α=0.05. Find the critical value(s) and state the conclusion.

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