A simple random sample of 36 St Bernard dog weights yields a sample mean of 193 pounds. It is known that the standard deviation of the population of all St Bernard dog weights is 18 pounds. Suppose you suspect that an average St Bernard dog weighs less than 200 pounds and decide to test this hypothesis.For this study setup, answer the following questions.a) Write out the research question.b) Write the null and alternative hypotheses Ho:Ha:c) Decide what significance level you will work with. ___________d) What type of data will you collect for this study? (Hint: think about what sampling technique and statistic are used) **Educational Content on Hypothesis Testing****d) What type of data will you collect for this study?***Hint: think about what sampling technique and statistic are used.***Suppose based on the data collected you compute your p-value.****e) What are the two possible results for a test on the stated hypotheses and when would you make each of those decisions?***Hint: think in terms of p-values.***f) In how many ways could you make wrong decisions while conducting a test of hypotheses in this study? What are these wrong decisions referred to as?***Hint: think types of errors that can be made in a hypothesis test.*

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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 for middle-aged adults the population mean of their cholesterol levels is less than 198.9 mgdL. We choose a random sample of such levels. The sample has a mean of 195.9 mgdL and a standard deviation of 19.5 mgdL. 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 size15, and it is from a population with a distribution about which we know very little. z = t = It is unclear which test statistic to use. (b) The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
You are testing the claim that smiling, rather than remaining neutral, during a court proceding will lead to a different punishment from the judge. A sample of 34 people who smiled during their hearing and 34 people who kept neutral facial expressions during their hearing is taken and each judgment was rated for leniency. Those who smiled (population 1) had a mean leniency rating of 4.9 with a standard deviation of 1.7, while those who did not smile (population 2) had an average leniency rating of 4.1 and standard deviation 1.5. Test the claim using a 10% level of significance. What are the correct hypotheses? Ho: Select an answerv ?V Select an answer H₂: Select an answer ?V Select an answerv Based on the hypotheses, find the following: Test Statistic = p-value = The correct decision is to Select an answer The correct summary would be: Select an answer difference in leniency when smiling over being neutral when in trouble. that there is a LeFrance, M. and Hecht, M.A., "Why Smiles…
According to a large oil company, the average cost per barrel of oil last year was $47. You believe that due to the current oil crisis in Russia and Iran that the cost of a barrel of oil has decreased. You collect a simple random sample of 60 barrels of oil and find an average price of $42 and a standard deviation of $12. Use this information to answer the following questions and conduct the hypothesis test with a level of significance of a = .01. You may use Statcrunch or a calculator. Write all non-calculation answers in complete sentences. a. Which test would you use and why? b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.) c. Write the null and alternative hypothesis as symbols. d. State the requirements that have been met to run the test. e. What is the test statistic and the p-value? (Make sure you use the right notation.) f. Should you reject or fail to reject the null hypothesis? g. State…
Suppose the national average dollar amount for an automobile insurance claim is $670.543. You work for an agency in Michigan and you are interested in whether or not the state average is different from the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ = 670.543, Alternative Hypothesis: μ ≠ 670.543. A random sample of 27 claims shows an average amount of $668.645 with a standard deviation of $68.6867. What is the test statistic and p-value for this test? Question 8 options: 1) Test Statistic: -0.144, P-Value: 0.44345 2) Test Statistic: -0.144, P-Value: 0.5566 3) Test Statistic: -0.144, P-Value: 1.5566 4) Test Statistic: 0.144, P-Value: 0.8869 5) Test Statistic: -0.144, P-Value: 0.8869
Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -
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You are testing the claim that smiling, rather than remaining neutral, during a court proceding will lead to a different punishment from the judge.A sample of 34 people who smiled during their hearing and 34 people who kept neutral facial expressions during their hearing is taken and each judgment was rated for leniency. Those who smiled (population 1) had a mean leniency rating of 4.9 with a standard deviation of 1.7, while those who did not smile (population 2) had an average leniency rating of 4.1 and standard deviation 1.5. Test the claim using a 5% level of significance.What are the correct hypotheses?H0: Ha: Based on the hypotheses, find the following:Test Statistic = p-value = The correct decision is to .The correct summary would be: that there is a difference in leniency when smiling over being neutral when in trouble.
Given two dependent random samples with the following results: Population 1 48 29 32 29 38 31 28 Population 2 45 38 41 16 40 28 38 Use this data to find the 95% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Copy Data Step 2 of 4 : Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
Suppose your hypothesis is that the average price of a two bedroom home in Little Rock is $150,000. You sample 17 homes and find an average price of $145000 with a standard deviation of 7,500. Set up the null hypothesis, and the alternate hypothesis (you can write this out in words). Show the test statistic, the critical statistic, and the results of your hypothesis test. (A) Test the hypothesis at the 10% significance level (B) Test the hypothesis at 5% significance level (C) Test the hypothesis at 1% significance level.
Read each situation and perform the appropriate test of hypothesis for the one sample mean z-test and t-test. 2. A manufacturer claims that their car batteries have a mean life expectancy of 6 years with a population standard deviation of 1.75 years. In order to test its own claim, a random sample of 35 batteries were tested and it was found out their mean life span is 5. 5 years. Is there evidence at the 0.01 level of significance that the batteries become exhausted in less than 6 years?
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