mg. We choosedLWe want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 191.8mgand a standard deviation of 18.5dLmga random sample of such levels. The sample has a mean of 195.8TPFor 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.AaIt is unclear which test statistic to use.(b) The sample has size 13, and it is from a population with a distribution about which we know very little.%3DOIt is unclear which test statistic to use.

Answered: Ne want to conduct a hypothesis test of…

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 t test for the mean difference between 2 related populations assumes that the population sizes are equal. sample variances are equal. population of differences is approximately normal or sample sizes are large enough. All of the above.
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.
You wish to test the following claim (Ha) at a significance level of a = 0.001. H,:P = P2 Ha:pi > p You obtain 303 successes in a sample of size n = 488 from the first population. You obtain 159 successes in a sample of size ry = 266 from the second population. What is the test statistic for this sample? 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 first population proportion is greater than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population…
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.
We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 195.7 mg a random sample of such levels. The sample has a mean of 192.7 and a standard deviation of 19 dL mg dL (a) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. 0:= 0 O 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. O =0 O It is unclear which test statistic to use. (b) The sample has size 20, and it is from a normally distributed population with a known standard deviation of 19.1. z = 0 O o t=0 O It is unclear which test statistic to use. mg dL X We choose S
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. What are the null and alternative hypotheses? OA. Ho: 002 H₁:0² = 0²/2 OC. H₂:0²=0²2 H₁:0² > 0²/2 Identify the test statistic. F = (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? C OB. H₁: 0 = 0² H₁:0² +03 OD. H₂:0²=0²2 H₁:0² <0²/ O A. Reject Ho. There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. O B. Fail to reject…
A SRS of 18 statistics examinations was taken from a large normal population. The average score in the sample was 76.6 with a sample variance (not sample standard deviation) of 51.84. We are interested in determining whether the average grade of the population is significantly different from 70. It can thus be concluded that the average grade of the population is Group of answer choices is exactly 76.6 is exactly 70 significantly different than 70 not significantly different than 70
Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 13, a1 = 24, s1 = 7.55 Sample 2: n2 = 3, x2 = 21.9, s2 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 191.2 mg dL . We choose mg a random sample of such levels. The sample has a mean of 194.2 and a standard deviation of 20 dL mg dL 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 90, and it is from a non-normally distributed population with a known standard deviation of 19.3. O² = t= It is unclear which test statistic to use. X 5 ? (b) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. OZ Z= It is unclear which test statistic to use. Ⓒ2022 McGraw Hill LLC. All Rights R acer → 9 Continue esc T 1 ! @ 2 # 3 C $ LA T 4 % 5 5 <0 & 7 O * 8
You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are: Ho: μ=100 H1:μ<100H You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less…
A student at a university wants to determine if the proportion of students that use iPhone's is less than 0.38. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.38, Alternative Hypothesis: p < 0.38. If the student randomly samples 29 other students and finds that 12 of them use iPhone's, what is the test statistic and p-value?
ou wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either, and you have no reason to believe the variances of the two populations are equal. You obtain a sample of size n1=18 with a mean of M1=81.6 and a standard deviation of SD1=8.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=88.9 and a standard deviation of SD2=5.8 from the second population. What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic =

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