You wish to test the following claim (Ha) at a significance level of a = 0.10.H.:µ1 = P2Ha:µ1 < µ2You believe both populations are normally distributed, but you do not know the standard deviations foreither. However, you also have no reason to believe the variances of the two populations are not equal. Youobtain a sample of size n1the first population. You obtain a sample of size n2deviation of SD2 = 14.1 from the second population.23 with a mean of M1 = 59.1 and a standard deviation of SD1 = 9.6 from12 with a mean of M2 = 67.1 and a standardWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? For this calculation, use the conservative under-estimate for thedegrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal places.)p-value =The p-value is...less than (or equal to) agreater than aThis test statistic leads to a decision to...O reject the nullO accept the nullfail to reject the null

Answered: Image /qna-images/answer/4988d9cc-7146-4f21-985f-fb48eac7cfd4.jpg

Answered: You wish to test the following claim…

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 wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 75.8 H.:µ + 75.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n 6 with mean M = 58.9 and a standard deviation of SD = 17.2. 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) a greater than a This test statistic leads to a decision to... O reject the null Oaccept the null O fail to reject the null
You wish to test the following claim (H.) at a significance level of a 0.05. 62.8 Ha:µ + 62.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 17 with a mean of a 57.4 and a standard deviation of s = 9.3. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic %3D The test statistic is... O in the critical region not in the critical region This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... O There is enough evidence to show that the population mean is not different from 62.8. There is not enough evidence to show that the population mean is not different from 62.8. There is enough evidence to show that the population mean…
You wish to test the following claim (Ha) at a significance level of a = 0.005. H.:µ = 64.1 Ha:µ + 64.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 4 with mean M = 41.3 and a standard deviation of SD = 19.8. 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) a greater than a This p-value leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 64.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 64.1. O The sample data support the claim that the population mean is not equal to 64.1. O There is not sufficient sample evidence to support the claim that the population mean is not equal to…
You wish to test the following claim (H) at a significance level of a = 0.005. For the context of this problem, µd = µ2 – H1 where the first data set represents a pre-test and the second data set represents a post-test. H.:µd = 0 0 > Prl : "H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 51 49.9 50.5 20.7 57.7 37.6 33.1 29.1 53.1 25.9 64.1 55.5 46.7 51.5 64.1 46.5 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of…
Two samples of 6 and 5 items respectively gave the following data : Mean of 1st sample 40 Standard deviation of 1st sample Mean of the second sample 50 Standard deviation of the 2nd sample 10 Is the difference of means significant ? The value of t for 9 degress of freedom at 5% level is 2.26
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. n x s Sham 20 0.43 1.37 Magnet 20 0.47 0.94 Question content area bottom Part 1 What are the null and alternative hypotheses? A. H0: σ21=σ22 H1: σ21>σ22 Your answer is correct. B. H0: σ21=σ22 H1: σ21<σ22 C. H0: σ21=σ22 H1: σ21≠σ22 D. H0: σ21≠σ22 H1: σ21=σ22 Part 2 Identify the test statistic. F=enter your response here (Round to two decimal places as needed.) Use technology to identify the P-value. What is…
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 66.6 Ha:µ > 66.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 75 with mean M = 69.3 and a standard deviation of SD = 5.4. 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... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 66.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 66.6. O The sample data support the claim that the population mean…
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 13 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with ? = 0.20 gram. (d) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.06 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) ____________ hummingbirds
A sample of size 5 was collected from an unknown population 15 15 16 16 17 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 5 -1.2 -0.5 0 0.5 1.2 -1 19 18 normal O not normal Clear All Draw: 17- 16- 14 T 15- رها 1 2 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?
You wish to test the following claim (H) at a significance level of a = 0.05. H.:µ = 65.2 Ha:µ < 65.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 571 with mean M = 63.2 and a standard deviation of SD = 20.3. 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) a O greater than a This test statistic leads to a decision to. reject the null accept the null fail to reject the null As such, the final conclusion is that. O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 65.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 65.2. O The sample data support the claim that the population mean is less than 65.2.…
You wish to test the following daim (Ha) at a significance level of a = 0.02. Ho:µ = 58.6 Ha:µ < 58.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 14.2 12 31.5 -11.4 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) a greater than a This test statistic leads to a decision to... O reject the null accept the null fail to reject the null
You wish to test the following claim (Ha) at a significance level of a = 0.01. H.: µ = 62.4 Ha:H > 62.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 31 with mean M 63.6 and a standard deviation of SD = 10.9. 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 =

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