A sample of 38 observations is selected from one population with a population standard deviation of 3.0. The sample mean is 100.5. Asample of 50 observations is selected from a second population with a population standard deviation of 5.2. The sample mean is 98.8.Conduct the following test of hypothesis using the 0.02 significance level.He: H₁ H₂H₁ H₁ H₂Required:a. Is this a one-talled or a two-talled test?O One-talled testⒸ Two-talled testb. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)The decision rule is to reject Hō if zis> Answer is complete but not entirely correct.theinterval (outside1.96 Xc. Compute the value of the test statistic. (Round your answer to 2 decimal places.)1.96 X

From the "First population":The sample size, n1=38The population standard deviation, σ1=3.0.The…

Answered: A sample of 38 observations is selected…

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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Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set α = 0.05. The test statistic for this hypothesis test would be____. a) z= -1.37 b) z= 1.98 c) t= -2.16 d) t= 2.55
The contents of 35 cans of Coke have a mean of 12.15oz. We know that the standard deviation x = is o = 0.1oz. To test the claim that the population 12oz you need to use mean is u - A. one-sample t-test B. one-sample z-test C. none of the above because the required assumptions are not met
I. A study reports that teenagers spend 27 hours a week online (www.telegraph.co.uk). A researcher wanted to check if this claim is true. A random sample of 200 teenagers taken showed that they spend an average of 25.7 hours per week online with a standard deviation of 8.2 hours. Perform a hypothesis test with the alternate hypothesis that teenagers spend less than 27 hours per week online. Use c = 0.05. Perform all of the steps outline in your notes and write a complete conclusion in words. Assume the distribution of hours spent online is normally distributed.
. The acceptable pollutant level in a county is 7.8 g/cc. A researcher believes that their portion of the county has a level higher than this, and takes a sample of 70 observations. The sample mean is 8.8 g/cc, with a standard deviation of 3.1. Set up the null and alternative hypotheses, and use alpha = 0.05. Test the null hypothesis and give the p-value (4).
We want to test hypotheses concerning the population mean. The following data is given: x¯¯¯=82,n=15, the population is normal with a standard deviation of 5.2. If we are to test the following hypothesis: H0:μ=85 Ha:μ<85 with a significance level of 0.05, the p-value suggests we a.) accept the alternate hypothesis b.) Fail to reject the null hypothesis c.) reject the null hypothesis d.) do nothing, let someone else get paid to figure it out.
The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2200 pounds. with a standard deviation of 183.5. A consumer protection agency claims that the actual standard deviation is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis H and the alternative hypothesis H, they would use for this test. H, :0 p O
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho: μ = 57.2 Ha: μ < 57.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=106n=106 with a mean of μ=56.2μ=56.2 and a standard deviation of s=9.8s=9.8.What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ________
A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief. Which of the following is the correct test statistic for the hypothesis test? A t = 63-64.2 2.9 63-64.2 2.9 t 3= 63-64.2 29 40 64.2-63 t 3= 2.9 64.2-63 t = 2.9 US 1 DELL 么 & %24 %23 || E.
A large milling machine produces steel rods to certain specifications. The machine is considered to be running normally if the standard deviation of the diameter of the rods is at most 0.15 millimeters. The line supervisor needs to test the machine is for normal functionality. The quality inspector takes a sample of 25 rods and finds that the sample standard deviation is 0.19. What are the null and alternative hypotheses for the test? A. H0 : σ = 0.0225 and H1 : σ ≠ 0.0225 B. H0 : σ ≥ 0.15 and H1 : σ < 0.15 C. H0 : σ2 > 0.15 and H1 : σ2 ≤ 0.15 D. H0 : σ2 ≤ 0.0225 and H1 : σ2 > 0.0225
Using a random sample of n = 50, the sample mean is x ̅ = 297.6. Suppose that the population standard deviation is σ=12. Is the above statistical evidence sufficient to make the following claim: μ>295 right tail, one tail at the 1% level of significance? Write the null hypothesis Ho and alternative hypothesis Ha. Calculate the standard error. Calculate the z score. Calculate the p value. What is the conclusion?
A school district claims that the average salary of elementary school teachers in their district is more than the national average of $42,000. A sample of 30 elementary school teachers from that district have a mean salary $43,260. The standard deviation for the population is $5,230. At α = 0.05, test their claim that teachers in their district earn more than $42,000 per year.
Q1: A researcher was interested in the effect of exercise on stress levels. For the general population, the distribution of the Stress Battery Scale scores is normal with the mean of µ = 25 and the standard deviation of σ = 5. A sample of n = 100 participants was asked to exercise for three weeks and then reported their stress levels. The sample mean was ?X = 23. Conduct a hypothesis test and determine the effect of exercise. Use the two-tailed test α = .01 1.Type the null and research hypotheses in complete sentences. 2.Cut off points 3.Standard error and z-score -show your computation process 4.Your conclusion thoroughly.

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