6.4.4. Construct a power curve for the α = 0.05 test ofHo: μ = 60 versus H₁: μ 60 if the data consist of arandom sample of size 16 from a normal distribution hav-ing σ = 4.

In general, the power function is: π(μ)=1−(−z+σ/nμ0−μ≤Z≤z+σ/nμ0−μ) We are given z=1.96 (the…

Answered: 6.4.4. Construct a power curve for the…

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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9.1/7 Identify the test statistic p-value
7.2.3 WP VS A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. Find the probability that a random sample of n = 6 fiber specimens will have sample mean tensile strength that exceeds 75.75 psi.
18.20 Immigration. Suppose that 29% of all adult Americans think that the level of immigration to the United States should be decreased. An opinion poll interviews 1520 randomly chosen Americans and records the sample proportion who feel that the level of immigration to this country should be decreased. This statistic will vary from sample to sample if the poll is repeated. The sampling distribution is approximately Normal with mean 0.29 and standard deviation about 0.012. Sketch this Normal curve and use it to answer the following questions. a. The mean of the population is 0.29. In what range will the middle 95% of all sample results fall? b. What is the probability that the poll gets a sample in which fewer than 27.8% say the level of immigration to this country should be decreased?
6.1 Suppose a normal distribution has a mean of 5 and a standard deviation of 1.8. What is the z-score of x = 8.9? Round to 1 decimal place.
10.2.3 WP GO Tutorial The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n₁ = 15 and n₂ = 17 are selected, and the sample means and sample variances are x₁ = 8.73, ² 0.35,₂ = 8.68, and s² = 0.40, respectively. Assume that o and that the data are drawn from a normal distribution. - = 0 a. Is there evidence to support the claim that the two machines produce rods with different mean diameters? Use α = 0.05 in arriving at this conclusion. Find the P-value. b. Construct a 95% confidence interval for the difference in mean rod diameter. Interpret this interval.
13. Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha? H0: muμ greater than or equals≥ 2.31 2.31 Ha: muμ less than< 2.31 2.31 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. Part 2 (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=negative 1.30 −1.30. (Use a comma to separate answers as…
4
-2 2. 1), find c given P(Z > c) = 0.046, please show you For a standard normal distribution (u 0 and o answer to 2 decimal places.
9.2.10-T Question Help Men Women H2 A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 11 59 97.65°F 0.92°F 97.23°F 0.71°F X a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? O A. Ho: H1 =H2 O B. Ho: H1 = H2 H1: µ1 # 42 H1: 41> H2 OC. Ho: H12 H2 O D. Ho: 41 # H2 H1: 41
3.An insurance company employs agents on a commission basis. It claims that in their first year, agents will earn a mean of at least 40.000TL and that the population standard deviation is no more than 6.00OTL. A random sample of 9 agents are found for commissions in the first year and has values as follows: 9. 9. X; = 333000 ve (Xi – x)2 = 312000 i=1 i=1 Where x; are the values for each agent and the distribution is normal. a.Test at the 0.05 significance level the null hypothesis that the population mean is at least 40.000TL and interpret the result b.Test at 0.10 significance level the null hypothesis that the population standard deviation is at most 6.000TL and interpret the result.
13. Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha? H0: muμ greater than or equals≥ 2.31 2.31 Ha: muμ less than< 2.31 2.31 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. Part 2 (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=negative 1.30 −1.30. (Use a comma to separate answers as…
You wish to test the following claim (Ha) at a significance level of a = 0.02. Ho:μι ≥ με Ha:μι < με You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size ni You obtain a sample of size n₂ = = 12 with a mean of M₁ 13 with a mean of M2 test statistic = p-value = = - 10.6. 53 and a standard deviation of SD1 59.5 and a standard deviation of SD₂ = 9.7. [three decimal accuracy] [three decimal accuracy] =

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6.4.4. Construct a power curve for the α = 0.05 test of Ho: μ = 60 versus H₁: μ 60 if the data consist of a random sample of size 16 from a normal distribution hav- ing σ = 4.