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

See similar textbooks

Similar questions

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=72.1σ=72.1. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?
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.
Scores on an IQ test are normally distributed. A sample of 25 IQ scores had variance of 64. The developer of the test claims that the population standard deviation is 15. Do these data provide sufficient evidence to significance? Use α=0.05α=0.05 . Answer the following questions. (a) What is the parameter? . (input as "mean", "standard deviation", "variance" or "proportion") (b) Determine if the alternative hypothesis is "right", "left" or "two-tailed" test. (input as "right", "left" or "two-tailed") (c) Test by using a confidence interval. Round confidence interval to nearest thousandth. (e.g. 0.1345 would be entered as 0.135) between ( and ) (d) State conclusion.: There is (input as "sufficient" or "insufficient") to (input as "conclude" or "reject") to conclude that the population standard deviation of IQ test is 15.
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=56.5σ=56.5. You would like to be 95% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?
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.
You wish to test the following claim (H1H1) at a significance level of α=0.10α=0.10. H0:μ=51.8 H1:μ<51.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=19n=19 with mean ¯x=42.4x¯=42.4 and a standard deviation of s=13.2s=13.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = ____________What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = __________The p-value is... less than (or equal to) αα or greater than αα This test statistic leads to a decision to... reject the null or accept the null or fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 51.8. or There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.8. or The sample…
true or false? Suppose a sample size of 87 was used to conduct a right tailed hypothesis test for a single population mean. The null hypothesis was H0: μμ = 45 and the sample mean was 50 and the p-value was 0.03. Then there is a 3% chance that 87 randomly selected individuals from a population with a mean of 45 and the same standard deviation would have a sample mean greater than 50.
NEED ASAP 9&10 only

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS