#25). Calculate the critical z-value(s) for each of the given hypothesis test scenarios below. If multiple criticalvalues exist for a single scenario, enter the solutions using a comma-separated list. Round z-values to twodecimal places.• Find the critical z-value(s) for a left-tailed test of hypothesis for a mean, assuming the populationstandard deviation is known, with a sample size of 113 and let a = 0.025.Z =• Find the critical z-value(s) for a right-tailed test of hypothesis for a mean, assuming the populationstandard deviation is known, with a sample size of 92 and a significance level of 1%.• Find the critical z-value(s) for a two-tailed test of hypothesis for a proportion, with a sample size of53 and a significance level of 5%.• Find the critical z-value(s) for a two-tailed test of hypothesis for a proportion, with a sample size of38 and a significance level of 0.1%.

Answered: Calculate the critical z-value(s) for…

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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Using the t-table, find the critical value for a left-tailed test with an α = 0.05 for a sample size of 23.
The distribution of claim size under a certain class of policy is modelled as a normal random variable, and previous years records indicate that the standard deviation is £120. Calculate the width of a 95% confidence interval for the mean claim size if sample of size 100 is available. Determine the minimum sample size required to ensure that a 95% confidence interval for the mean claim size is of width at most £10. Comment briefly on the comparison of the confidence intervals in (i) and (ii) with respect to widths and sample sizes used.
We have provided the sample standard deviations and sample sizes for independent simple random samples from two populations. In each case, use the two-standarddeviations F-test and the two-standard-deviations F-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. s1 = 38.2, n1 = 6, s2 = 84.7, n2 = 16 a. left-tailed test, α = 0.05 b. 90% confidence interval
A production line operation is tested for filling weight accuracy using the following hypotheses. (filling error no more than 6. So, keep the production line running) (filling error greater than 6. So, stop and adjust the production line) The sample size is 64; the sample mean is 6.3; the population standard deviation is 2; and the significance level is 0.01. Q1. The critical value of the sample mean is ____. (round to the nearest hundredth) Q2. Which of the following correctly describe the acceptance region for the null hypothesis? We accept the null hypothesis if the observed sample mean is greater than the critical value of sample mean. We accept the null hypothesis if the observed sample mean is less than the critical value of sample mean. We accept the null hypothesis if the observed sample mean is less than the negative critical value of sample mean or greater than the positive critical value of sample mean . We accept the null…
We have provided the sample standard deviations and sample sizes for independent simple random samples from two populations. In each case, use the two-standarddeviations F-test and the two-standard-deviations F-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. s1 = 14.5, n1 = 11, s2 = 30.4, n2 = 9 a. two-tailed test, α = 0.05 b. 95% confidence interval
A production line operation is tested for filling weight accuracy using the following hypotheses. (filling error no more than 6. So, keep the production line running) (filling error greater than 6. So, stop and adjust the production line) The sample size is 64; the sample mean is 6.3; the population standard deviation is 2; and the significance level is 0.01. Q1) The critical value of the sample mean is ____. Q2) The probability of making Type II error in this hypothesis test is ____ .
We have provided the sample standard deviations and sample sizes for independent simple random samples from two populations. In each case, use the two-standarddeviations F-test and the two-standard-deviations F-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. s1 = 19.4, n1 = 31, s2 = 10.5, n2 = 16 a. right-tailed test, α = 0.01 b. 98% confidence interval
Consider a hypothesis test with H 0: μ = 20 vs H 1: μ ≠ 20) at α = 0.05 on mean of a Normal population with unknown variance. If the sample variance is 4 and the true mean is 18.5, then the sample size required to obtain a power of test at least 80% is close to 15 using an appropriate OC curve. True False
1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.
If we set the criterion probability (alpha) at .05, and we are conducting a one-tailed test where we are expecting attitude scores of a sample to be higher than the population, what will be the z-critical value?
A random sample of 663 teens who said they did not typically eat fast food reported an average daily calorie intake of 2258, with standard deviation 1519. A random sample of 413 teens who said they did typically eat fast food reported an average daily calorie intake of 2637, with standard deviation 1138. The two populations are not terribly skewed. Based on the above description, which of the following conditions are met for conducting a hypothesis test for the equality of two means? Choose one or more that apply. Select one or more: a. Both samples are random b. Samples are independent of one another c. Both samples are normal enough given the sample size d. Two population means need to be the same
A sample of size n = 20 is drawn from a normal population. Find the critical value tα/2 needed to construct a 99% confidence interval.

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