Select the true statement(s).In a hypothesis test concerning a population mean when the population standard deviation & is unknown, the p valuecan never be determined.In a hypothesis test concerning a population mean when the population standard deviation o is unknown, there are onlythree possible alternative hypotheses.In a hypothesis test concerning a population mean when the population standard deviation o is unknown withalternative hypothesis H₁ μ> Mo, the value of the test statistic will always be greater than 0.The hypothesis test concerning a population mean when the population standard deviation & is unknown is valid onlywhen the underlying population is normal.In a hypothesis test concerning a population mean when the population standard deviation o is unknown, the teststatistic is based on the standard normal distribution when the sample size is greater than 30.GIn a hypothesis test concerning a population mean when the population standard deviation & is unknown, the teststatistic is based on a t distribution with n - 1 degrees of freedom, where n is the sample size.

Hypothesis: It is a statement about the statistical distribution or parameter of statistical…

Answered: Select the true statement(s). In a…

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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We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is less than 2.2 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.1 seconds and a standard deviation of 0.4 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size l18, and it is from a normally distributed population with an unknown standard deviation. t = O It is unclear which test statistic to use. (b) The sample has size 15, and it is from a normally distributed population with a known standard deviation of 0.45. O z O It is unclear which test statistic to use.
We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is less than 2.2 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.3 seconds and a standard deviation of 0.5 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 12, and it is from a population with a distribution about which we know very little. O z = O t = O It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with a known standard deviation of 0.40. O z = O t = O It is unclear which test statistic to use.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H₁ that we would use for this test. Ho H₁: H₁: μ ☑ р <0 □□ 0 S ロ=ロ x □<□ □≠□ ค
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.04. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesisH1 that we would use for this test.
In a left-tailed hypothesis for a population mean where the population standard deviation is unknown, the test statistic for a random sample size 18 was calculated to be -4.0545. Determine the P-value for the test. X
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a standard deviation of 0.04. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H,1 that we would use for this test. Ho H: 0 O
Consider a hypothesis test of difference of means for two independent populations x1 and x2. (a) What does the null hypothesis say about the relationship between the two population means? H0 says that the population standard deviations are different.H0 says that the population standard deviations are equal. H0 says that the population means are equal.H0 says that the population means are different. (b) If the sample test statistic has a z distribution, give the formula for z. z = ?1 − ?2 ?12 n1 + ?22 n2 z = x1 − x2 ?12 n1 + ?22 n2 z = ?1 − ?2 s12 n1 + s22 n2 z = x1 − x2 s12 n1 + s22 n2 z = ?1 − ?2 − (x1 − x2) s12 n1 + s22 n2 (c) If the sample test statistic has a t distribution, give the formula for t. t = ?1 − ?2 ?12 n1 + ?22 n2 t =…
3
A researcher wants to carry out a hypothesis test involving the mean for a sample of n = 20. While the true value of the population standard deviation is unknown, the researcher is reasonably sure that the population is normally distributed. Given this information, which of the following statements would be correct? The t-test should be used because the sample size is small. The researcher should use the z-test because the population is assumed to be normally distributed. The researcher should use the z-test because the sample size is less than 30. The t-test should be used because α and μ are unknown.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.04 . The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0 : __? H1 : __?
We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is more than 2.3 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.2 seconds and a standard deviation of 0.5 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. O z = 0 %3D Ot= It is unclear which test statistic to use. (b) The sample has size 17, and it is from a population with a distribution about which we know very little. O z t =|| D- It is unclear which test statistic to use.

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