The average farm size in the United Statesis 444 acres. A random sample of 50farms in New York indicated a mean sizeof 460 acres, and the population standarddeviation is 54 acres. At a0. 05,can it be concluded that the average farmin New York differs from the nationalmean?Please show all work in performing yourhypothesis test below. Be sure to includenull and alternative hypotheses, criticalvalue, test value and your conclusion.

We have given that Population mean = 460 Sample mean = 444 Sample size = 50 Population standard…

Answered: The average farm size in the United…

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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According to Facebook, the mean number of community pages, groups and events that users are connected to is 80. A random sample of 64 Facebook users showed a mean of 86 connections to community pages, groups, and events. The sample standard deviation is 48. Test at a 5% significance whether the population mean number of connections to community pages, groups and events is greater than 80, stating the null and alternative hypothesis. Show your work.
For a random sample of 47 high school seniors in the United States in 2019, the average of typical sleep time on a school night is 6.8 hours with a standard deviation of 1.2 hours. (Source: Data are downloaded from U.S. Census at School a) We want to test if the mean sleep time on a school night for all high school seniors in the United States is less than 7 hours. State the hypotheses of a one-sided significance test. b) ) Calculate the test statistic. I Show how to make a c) conclusion for this test, using the significance level 0.05. d) ) If your conclusion in part c) were in error, what type of error would it be? e) ) Construct a 95% confidence interval for the population mean sleep time on a school night for all high school seniors in the United States.
The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 28 tires surveyed, the mean lifespan was 46500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? We should use a test. 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 conclusion would be:
A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. What is the null hypothesis for this question? Group of answer choices a. The proportion of people who pass the test is 5. b. The mean test score of the population is 5. c. The mean test score of the 50 people who took the test is 5. d.The standard deviation is 2.6
According to the USDA, the mean intake of calories of males 20-39 is 2716 with a standard deviation of 72.8Would you find it unusual to have a sample mean of 2750 or higher for a sample size of 35? Why?
You noticed that your baseball team has improved. You want to know if your Dodger team is better than teams in your state on a specific measure. You compare your Dodger team's record in the past month to the average of 30.2. Your team of 11 have an average of 32.55 with a standard deviation of 1.508. Use hypothesis testing to form a conclusion about your Dodgerbteam. If appropriate, estimate the population mean that is represented by this sample with a 95% confidence interval.
Suppose the mean weight of King Penguins found in an Antarctic colony last year was 15.4 kg. In a sample of 35 penguins same time this year in the same colony, the mean penguin weight is 14.6 kg. Assume the population standard deviation is 2.5 kg. At .05 significance level, can we reject the null hypothesis that the mean penguin weight does not differ from last year? Use P-value approach.
The Woodcock-Johnson Cognitive Ability test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean IQ of this population is greater than 95? What is the p-value for this data what is your decision about the null hypothesis? reject or fail to reject?
A pipes manufacturer makes pipes with a length that is supposed to be 12 inches. A quality control technician sampled 35 pipes and found that the sample mean length was 12.05 inches and the sample standard deviation was 0.13 inches. The technician claims that the mean pipe length is not 12 inches. What type of hypothesis test should be performed? Two-tailed t-test Two-tailed z-test Left tailed t-test Left tailed z-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the α=0.01 significance level to support the technician's claim? Yes or No
There are many ways to measure the reading ability of children. One frequently used test is the DRP or Degree of Reading Power. The national average score in DRP test is 32. We want to determine if there is sufficient evidence at the 5% level to suggest that the mean score of all third graders in YOUR district is higher than the national mean. The DRP scores for a simple random sample of 41 third graders in that suburban school in YOUR district yielded a mean of 35.2. Assume that the population of DRP scores of third graders in that suburban school district are normally distributed with a population std.dev of 11.
State the null and alternative hypotheses for the statistical test described below. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,0.3,ρ,p^,p^1,p^2,r.Testing to see if there is evidence that a proportion is greater than 0.3. H0: vs Ha:

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