Consider the following hypothesis test.Ho: μ-122=0Ha: M-μ₂0The following information was obtained from independent random samples.Assume normally distributed populations with equal variances.Sample 1Sample 2Sample Mean4542Sample Variance8590Sample Size1012The pooled sample variance is_The test statistic isThe degrees of freedom for the t-distribution are

Introduction: The null and alternative hypotheses are as follows: H0: μ1 – μ2 = 0 versus Ha: μ1 – μ2…

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

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Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant difference, does that difference have practical significance?
Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare the means of two populations and you know that the paired-difference variable has a symmetric distribution that is far from normal. a. Is use of the paired t-test acceptable if the sample size is small or moderate? Why or why not?b. Is use of the paired t-test acceptable if the sample size is large? Why or why not?c. Is use of the paired Wilcoxon signed-rank test acceptable? Why or why not?d. If both the paired t-test and the paired Wilcoxon signed-rank test are acceptable, which test is preferable? Explain your answer.
The burning rates of two different solid-fuel propellants used in air crew escape systems are being studied. A random sample of 15 first type propellants are tested resulting in a sample mean burning rate of 18 cm/s and sample standard deviation of 2.75 cm/s. Another sample of 15 second type propellants are tested resulting in a sample mean burning rate of 24 cm/s and sample standard deviation of 2.80 cm/s. Assume both populations are independent and normally distributed and have the equal but unknown variances. (a) Is there sufficient evidence to claim that the mean burning rate of the first type propellant is less than that of the second type propellant at α = 0.05? Use fixed significance level approach to answer this question. (b) Construct an appropriate confidence interval to answer question in part (a). (c) Without doing any calculation or looking up a table, can you figure out whether P-value is greater than 0.05? Why or why not?
A consumer group wants to know if an automobile insurance company with thousands of customers has an average insurance payout for all their customers that is greater than $500 per insurance claim. They know that most customers have zero payouts and a few have substantial payouts. The consumer group collects a random sample of 18 customers and computes a mean payout per claim of $579.80 with a standard deviation of $751.30. Is it appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers? Yes, it is appropriate because the population standard deviation is unknown. Yes, it is appropriate because the sample size is large enough, so the condition that the sampling distribution of the sample mean be approximately normal is satisfied. No, it is not appropriate because the sample is more than 10 percent of the population, so a condition for independence is not satisfied. No, it is not appropriate because the standard…
The grades of a sample of 10 students, selected at random from a large population, are 71, 86, 75, 63, 92, 70, 81, 59, 80, and 90. a) Construct a 90% confidence interval estimate for the population variance.b) Can we infer (perform Hypothesis testing) at the 90% confidence that the population variance is significantly less than 100?
In attempting to improve student services, a college investigates its registration process and finds that for 12 randomly selected students, the mean registration time was 73.2 minutes with a standard deviation of 14.2 minutes. Another college finds that for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assume equal population variances.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. Based on a 23 bag sample where the mean is 438 grams and the variance 196, Is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled Assume the population distribution is approximately normal. State the null and alternative hypotheses, the value test statistic, state if it's one or two tailed, determine the decision rule for rejecting null hypothesis, and make rule to reject or fail to reject
The Transportation Security Administration would like to compare the average amount of time it takes passengers to pass through airport security at Philadelphia versus Orlando during peak times. A random sample of 25 travelers in Philadelphia spent an average of 14.6 minutes to pass through airport security with a sample standard deviation of 5.8 minutes. A random sample of 27 travelers in Orlando spent an average of 11.5 minutes to pass through airport security with a sample standard deviation of 4.9 minutes. Perform a hypothesis test using α = 0.05 to determine if the average time to pass through security in Philadelphia is more than the average time to pass through security in Orlando. Assume the population variances for time through security at these two locations are equal. Hint: the alternative hypothesis should be μ1 - μ2 > 0.

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