Scenario: Terry Teacher suspects that kindergarten class sizes in Alameda county are larger thanaverage. According to the California Department of Education, the average kindergarten class size inCalifornia is 21.9. For a random sample of 36 Alameda County kindergarten classes, the averageclass size was 23 with a standard deviation of two. Run a test to assess Terry Teacher's hypothesis atthe a=.05 level.Question: What are the assumptions for this hypothesis test? (Select all that apply)The sample is large (n>30).This is a random sample.The population distribution has a normal shape.The sample was not collected at random.This is a categorical variable.The shape of the population distribution is unknown.The sample is small (n<30).This is a quantitative variable.

Answered: Image /qna-images/answer/7f09a6e2-5ac3-48f8-80d6-d7d397be9c61.jpg

Answered: Scenario: Terry Teacher suspects that…

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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You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2040. After surveying 17 of their vendors, you find that mean sales per week of the vendors sampled was $2110 with a standard deviation of $114.03. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
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.
4
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…
The cost of a car is $30k at Joe's Garage. You cant to see if the cost is lower at Pete's Garage. To test, you collect data from 64 buyers who recently bought cars. The average of your sample is $29,760, with a sample standard deviation of $7,450. Using this data to perform the hypothesis test with H0: u=30,000 vs H0:u<30,000, what is the p-value of this test, and what is the conclusion of this test at the a=.05 level?
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 -
A high school athletic director is asked if football players are doing well academically as the other student athletes. From a previous study that the average GPA for the student athletes is 81. The athletic director randomly samples 20 football players and finds that the average GPA of the sample is 84 with a sample standard deviation of 7. Is there a significant change in GPA? Use a 0.10 significance level. Prompts Submitted Answers Null Hypothesis H = 81 Alternative Hypothesis H81 type of test t-test test statistic Choose a match p-value Choose a match computed value of the test statistic Choose a match Decision Choose a match Conclusion There is no significant change on the average GPA of Student athletes @ 10% alpha. Level of Confidence 90% Critical Value/s Choose a match
Using the Hypothesis Testing Procedures, please complete: The mean age of senators in the 109th Congress was 60.35 years old. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At a = 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington
You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2050. After surveying 18 of their vendors, you find that mean sales per week of the vendors sampled was $2100 with a standard deviation of $101.08. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
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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