OConsider the following hypothesis test.Ho: μ = 30H₂: μ # 30The population standard deviation is 14. Use a = 0.05. How large a sample should be taken if the researcher is willing to accept a 0.10probability of making a type II error when the actual population mean is 33?Step 1The sample size for a two-tailed hypothesis test for a population mean below where Za/2 is the z-value that corresponds to an uppertail area of αZBZe is the z-value that corresponds to an upper tail area of B, o is the population standard deviation, μ2is thehypothesized population mean, and μ is the population mean used for the type II error.ZBαWe are told to use a = 0.05, so =so B =Use technology to find the values of Za/2 and Zg, rounding each to two decimal places.za/2E==n =C(za/2+Zg)²0²(но-ма) 2. The researcher is willing to accept a probability of 0.10 of making a type II error,74°F SunnyA OTo 40)5:17 PM4/12/2023 hypothesized population mean, and is the population mean used for the type II error.ZB=We are told to use a = 0.05, so α2so B =Use technology to find the values of Za/2 and Zp, rounding each to two decimal places.Zα/2n =Thus, Ho(Za/2 + ZB) ²0²(Mo-H₂)²=3, 8 Is the population standard deviation, μ is theThe population standard deviation was given to be 14, so we have o =researcher is willing to accept a type II error of 0.10 for the following hypotheses.Ho: μ = 30Ha: μ # 30and HaThe researcher is willing to accept a probability of 0.10 of making a type II error,If the actual population mean is 33, the

H0:μ=30Ha:μ≠30σ=14, α=0.05, β=0.10

Answered: Consider the following hypothesis test.…

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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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=62.5σ=62.5. You would like to be 95% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required? Round up to nearest whole number.
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 357 minutes. For a sample of 19 patients, the mean time the drug stayed in the system was 364 minutes with a standard deviation of 25. Assume the population distribution is approximately normal. Step 1 of 7: State the null and alternative hypotheses Step 2 of 7: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 7: Specify if the test is one-tailed or two-tailed. Step 4 of 7: Determine the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 7: Identify the value of the level of significance.
answer 3
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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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 :   Find the value of the test statistic. Round your answer to three decimal places.
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