2. A researcher is testing a null hypothesis that states, HO: µ= 50. A sample of 25scores is selected and M= 55. Assuming the sample variance is s² = 100,compute the estimated standard error and the t-statistic. Is this samplesufficient to reject the null hypothesis using a two-tailed test with a= .05? one-tailed or two-tailed test:State the Hypotheses;df=ta or t value for the critical regionsM =%3Dt DDecision:

Answered: 2. A researcher is testing a null…

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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The null and alternate hypotheses are: He: P₁ =H₂ H₁ H₁ #P₂ A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. The population variances are assumed to be equal. At the 0.10 significance level, is there a difference in the population means? a. Is this a one-tailed or a two-tailed test? O One-tailed test. OTwo-tailed test. b. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The decision rule is to reject H0 if t
The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2140 pounds with a variance of 32,761. A consumer protection agency claims that the actual variance 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 Ho and the alternative hypothesis H₁ they would use for this test. Ho: H₁: 0 μ OSO 0=0 X X Р ☐#0 S O0 020
In a random sample of size 36 we observe a sample mean of 25 and a variance of 144. If we test the hypotheses below with a significance level of 0.05. Ho: µ = 20 HẠ :4 > 20 what will be the calculated test statistic?
A sample of difference scores from a repeated-measures experiment has a mean of MD = 5 with a variance of s 2 = 64. If the sample size is n = 4, what is the correct decision if using a two-tailed test with alpha = .05? A. Accept the null hypothesis, there is a significant mean difference. B. Accept the null hypothesis, there is not a significant mean difference. C. Reject the null hypothesis, there is a significant mean difference. D. Reject the null hypothesis, there is not a significant mean difference.
To evaluate the effect of a treatment, a sample is obtained from a population with a mean of =40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 44.5 with a variance of s² = 36. If the sample consists of n = 16 individuals, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with a = .05? O For these data, t= 1.50. This value is less than the critical value of 2.131, so we reject the null hypothesis and conclude that there is a significant treatment effect. O For these data, t = 3.00. This value is greater than the critical value of 2.131, so we reject the null hypothesis and conclude that there is a significant treatment effect. O For these data, t = 4.50. This value is greater than the critical value of 2.131, so we reject the null hypothesis and conclude that there is a significant treatment effect. O For these data, t = 1.50. This value is less than the…
In the manufacture of steel rollers to fit an assembly, the external diameter is considered to be a random variable with mean equal to 23 mm and variance equal to 0.0036 cm2. 1.5 is supported standard deviations more than the mean and 3.5 standard deviations below average. A piece with a diameter below such specifications is considered waste, whereas a piece with a diameter larger than specified must be reprocessed. Which is the percentage of pieces that:to. They are being wasted.b. They need to be reprocessed.c. Acceptable.d. If you want to establish that the reprocessing is 5% of the rollers and waste of 1%, than specification limit would recommend.
A researcher decides to measure anxiety in group of bullies and a group of bystanders using a 23-item, 3 point anxiety scale. Assume scores on the anxiety scales are normally distributed and the variance among the group of bullies and bystanders are the same. A group of 30 bullies scores an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. A group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 8 on the anxiety scale. You do not have any presupposed assumptions whether bullies or bystanders will be more anxious so you formulate the null and alternative hypothesis based on that.
A sample of n = 16 individuals is selected from a population with Âµ = 30. After a treatment is administered to the individuals, the sample mean is found to be M = 33. a. If the sample variance is s2 = 16, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = .05. b. If the sample variance is s2 = 64, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = .05. c. Describe how increasing variance affects the standard error and the likelihood of rejecting the null hypothesis.
Two separate samples, each with 16 individuals, receive two different treatments. After treatment, the first sample has SS = 1540 and the second has SS = 1460. a. Find the pooled variance, s2p, for the two samples b. The estimated standard error is c. If the sample mean difference is 10 points (i.e., M1 - M2 = 10), compute the t-statistic. The t-statistic is:

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