We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is more than 3.1penalties per game. So, we choose a random sample of games. The sample has a mean of 3 penalties per game and a standard deviation of 0.7 penalties pergame.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 75, and it is from a non-normally distributed population with a known standard deviation of 0.70.Z=O 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.-0OZ=Ot=O It is unclear which test statistic.to use.

Here, mean is 3 and standard deviation is 0.7. Population mean is 3.1. We will use z test in part a…

Answered: We 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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We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is less than 2.6 penalties per game. So, we choose a random sample of games. The sample has a mean of 2.5 penalties per game and a standard deviation of 0.7 penalties per game. 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 0.69. O t O It is unclear which test statistic to use. (b) The sample has size 13, and it is from a normally distributed population with an unknown standard deviation. O z = O t = O It is unclear which test statistic to use.
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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.
In a particular year, registered nurses earned an average annual salary of $52,330. A survey was conducted with 48 nurses from a particular state to determine if the annual salary is higher than $52,330 for that state's nurses. The sample average was $61,599 with a sample standard deviation of $7,489. Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to the…
We want to conduct a hypothesis test of the claim that for middle-aged adults the population's mean of their cholesterol levels is more than 199.3 mgdL. We choose a random sample of such levels. The sample has a mean of 197.3 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 size 105, and it is from a non-normally distributed population with a known standard deviation of 19.2. z = t = It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
For the last part of the question, the options are: Fail to reject OR reject; Sufficient OR not sufficient; is OR is not; Thanks!
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 -
Use five-step hypothesis testing for each of the following problems. Number each of the five steps. You may use the traditional method or the p-value method. 1) Science fiction novels average 250 pages in length. The average length of 8 randomly chosen novels written by I. M. Wordy was 265 pages in length with a standard deviation of 35. At are Wordy's novels significantly longer than the average science fiction novel? Use five-step hypothesis testing. 2) The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random Sampling of a large cell phone company found the following monthly cell phone charges (in dollars): At the 0.01 level of significance, can it be concluded that the average phone bill has…
State the null and alternate hypothesis. Will you use a left tail, right tail or 2 tailed test? Identify the sampling distribution to be used: standard normal, Student’s t or chi squared. Find the value of the test statistic. Find the P-Value. Based on your answers, shall we reject or accept the null hypothesis? Write the conclusion in the context of the problem.
We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is more than 2.4 penalties per game. So, we choose a random sample of games. The sample has a mean of 2.5 penalties per game and a standard deviation of 0.8 penalties per game. 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 105, and it is from a non-normally distributed population with a known standard deviation of 0.59. Oz= 01 = 0 O It is unclear which test statistic to use. (b) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. -0 Oz= 01-0 O It is unclear which test statistic to use.
We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 30.6 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 31.1words per minute and a standard deviation of 2.8 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. The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 2.7. The sample has size 20, and it is from a normally distributed population with an unknown standard deviation.
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.

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