a large state University located just a bit North of us. Your null hypothesis is that the overall class average is less than or equal to 0.80. You take a sample of 640 people (a large sample), and find that the sample average is 0.82, and the standard deviation is 0.05. Your hypothesis test will be conducted at the 0.01 significance level. You calculate your test statistic would be 3.20. Would your test statistic be higher or lower if, instead, your sample statistics were calculated from a sample that was smaller (say, 64 people)? Group of answer choices The same (neither higher, nor

a large state University located just a bit North of us. Your null hypothesis is that the overall class average is less than or equal to 0.80. You take a sample of 640 people (a large sample), and find that the sample average is 0.82, and the standard deviation is 0.05. Your hypothesis test will be conducted at the 0.01 significance level. You calculate your test statistic would be 3.20. Would your test statistic be higher or lower if, instead, your sample statistics were calculated from a sample that was smaller (say, 64 people)? Group of answer choices The same (neither higher, nor

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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According to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.
A population mean is 13. The sample mean is 12.8, and the sample standard deviation is 2. The sample size is 20. What standard error would you use to conduct a hypothesis test on the mean?
Justine is an analyst for a sleep study center. She believes that the average adult in a certain city spends more than 7.2 hours sleeping daily. To test this claim, she selects a random sample of 63 adults from the city. The following is the data from this study: The alternative hypothesis Ha:μ>7.2. The sample mean number of hours slept per night by the 63 adults is 7.52 hours. The sample standard deviation is 1.14 hours. The test statistic is calculated as 2.23. Using the information above and the portion of the t− table below, choose the correct p− value and interpretation for this hypothesis test. Values for right-tail areas under the t-distribution curve Probability 0.10 0.05 0.025 0.01 0.005 Degrees of Freedom 60 1.296 1.671 2.000 2.390 2.660 61 1.296 1.670 2.000 2.389 2.659 62 1.295 1.670 1.999 2.388 2.657 63 1.295 1.669 1.998 2.387 2.656 64 1.295 1.669 1.998 2.386 2.655 65 1.295 1.669 1.997 2.385 2.654 66 1.295 1.668 1.997 2.384 2.652…
We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 28.1 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 28.4 words per minute and a standard deviation of 2.9 words per minute. 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 19, and it is from a normally distributed population with a known standard deviation of 2.8. "our re Ot = O It is unclear which test statistic to use. (b) The sample has size 20, and it is from a population with a distribution about which we know very little. O It is unclear which test statistic to use. Check © 2022 McGra ace
As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the…
Part b and c
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…
The College Board reports that the scores on the math SAT were normally distributed with a mean of 525. A random sample of 15 students at your high school had a mean of 550 and a sample standard deviation of 105. What values of the sample mean would lead to rejection of the null hypothesis at the 0.01 level of significance?
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.
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.
You are conducting a hypothesis test on the outcome of an Statistics test at a large state University. Your null hypothesis is that the overall class average is less than or equal to 0.80. You take a sample of 64 people (a large sample), and find that the sample average is 0.82, and the standard deviation is 0.05. Your hypothesis test will be conducted at the 0.01 significance level. You calculate your test statistic would be 3.20. Would your test statistic be higher or lower if, instead, you were testing at the 0.01 level? Group of answer choices Lower HIgher The same (neigher higher, nor lower).
We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 29.1 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 28.7 words per minute and a standard deviation of 3.8 words per minute.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.