A random sample of n observations is selected from normal population to test the null hypothesis that µμ = 10. Specify the rejection region for each of the following combinations of Ha, a, and n.a. Ha: H10; a=0.10; n = 13b. H₂: > 10; α = 0.05; n = 22c. Ha: > 10; α=0.01; n = 10d. H₂:<10; a= 0.05; n = 11e. H₂ H 10; a = 0.01; n =17f. H₂H<10; a=0.10; n = 5a. Select the correct choice below and fill in the answer box within your choice.(Round to three decimal places as needed.).OA. t>OB. t>OC. t<

Note:Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…

Answered: A random sample of n observations is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose a random sample of n= 16 measurements is selected from a population with mean u and standard deviation o. For each of the following values of u and o, give the values of 4, and o. a. µ= 14, o = 2 b. µ= 196, 6 = 16 H= 28, o = 20 d. µ= 14, o = 88 с. a. H; =U 0; = (Type an integer or a decimal.) O- =
Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
Test the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level.a.) The null and alternative hypothesis would be: b.) The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 59% owned cats c.) The sample proportion ˆp=d.) The test statistic is: (to 2 decimals)e.) At α=α=0.02, the critical value is:± (to 2 decimals)f.) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 F = 6.5 7.5 6.5 5.5 7.5 11.5 P-value = 9.5 5.5 54 |O Ho: B1 = B2 =1 40 62 55 56 62 42 40 59 51 50 H₂: at least one of B₁ or H₂: at least one of B₁ or Home-Range Size (km²) Ho: At least one of ₁ or H₂: B₁ = B₂ = 1 43.0 46.7 57.3 35.5 62.1 = weight. (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors X₁ = age and X2 (Round your numerical values to four decimal places.) ŷ 33.9 (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. ⒸH₁: B₁ = B₂ = 0 39.6 32.2 57.2 24.5 68.6 B₂ is not 0. ₂ is not 1. O Ho: At least one of ₁ or ₂ is not 0. H₂: B₁ = B₂ = 0 ₂ is not 1. Calculate the test statistic. (Round your answer to two…
In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.
Which one of the following statements is true? Select one: O a. In large samples, there are not many discrepancies between the outcomes of the F test and the LM test O b. Degrees of freedom of the unrestricted model is necessary for using the LM test. O c. The LM test can be used to test hypotheses with single restrictions only and provides inefficient results for multiple restrictions O d. The LM statistic is derived based on the normality assumption
The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B C 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. a O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H₂: Variable P is not independent of variable Q. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the column and row variables are independent. O Do not reject Ho. We cannot conclude that there is an…
In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value? a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016. b If there is a difference of 0.016 in the proportions…
Compute the observed significance of each test. a. Testing Hoμ = 54.7 vs Ha : µ −45, test statistic z = 2.54
2. The difference between the two groups has been declared statistically significant at the a = 0.05 level. Use the "No Adolescent Marijuana" group to determine a suitable p0, and then test the hypothesis: HO: p ≤ p0 HA: p > p0 where p is the population proportion (conceptualized) of all adolescent marijuana users who would develop schizophrenia. Show all your work. Are the results statistically significant as claimed? Make sure you report the standard score, a p-value, your conclusion, and a comment on what statistical risk has been taken and controlled for in this testing process. Percent Developing Schizophrenia 7%- 6%- 5%- 4% 3%- 2%- 1%- 0%- A Particular COMT Gene and Psychosis 2.3% No Adolescent Marijuana Use (n=311) 5.5% Adolescent Marijuana Use (n=91)
10. A random sample of n =4 individuals is selected from a population with u = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. %3| a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a = .05.
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed. Driver Manufacturer A Manufacturer B 1 36 30 2 31 31 3 30 28 4 30 27 5 29 27 6 33 30 7 35 25 8 29 31 The test statistic is 2.316. At ? = 0.10, the null hypothesis should be revised .should not be tested. should be rejected. should not be rejected.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS