The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,745 per term, but a financial administrator believes that the average cost is less than this. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,500 and the population standard deviation from previous studies is $1,200. Let = 0.05 .What are the null and alternative hypotheses for this study?

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,745 per term, but a financial administrator believes that the average cost is less than this. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,500 and the population standard deviation from previous studies is $1,200. Let = 0.05 .What are the null and alternative hypotheses for this study?

Name: The average cost of tuition, room andboard at small private liberal a
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The average cost of tuition, room andboard at small private liberal arts collegesis reported to be $8,745 per term, but afinancial administrator believes that theaverage cost is less than this. A studyconducted using 350 small liberal artscolleges s

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

1. In the past, the mean running time for a certain type of radio battery has been 9.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has changed as a result. The null and alternative hypotheses areas? 2. A certain type of machine is considered functioning properly if it can fill a bottle with 12-ounce of soda, with a standard deviation of less than or equal to 0.03 ounce. To test if the machine functions properly, what are the null and alternative hypothesis?
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…
The average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?
Formulate the appropriate null and alternative hypotheses for each research problem. Determine the type of alternative hypothesis formulated and the classification of a statistical test of the hypothesis. 1. A survey claims that the proportion of people who regard global warming as a serious problem is 60%. 2. A farmer believes that using organic fertilizers on his plants will yield greater than his average income from the past was Php 200, 000 per year. 3. A researcher assumes that his instrument needs no adjustment and the standard deviation of the measurements made using his instrument is at most 0.5 units. 4. A company advertises that the mean life of its furnaces is more than 18 years. 5. The inventor of a new kind of light bulb claims that all such bulbs last as long as 3, 000 hours. 6. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of a bottle of their product is 250 mL.
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Suppose the national average dollar amount for an automobile insurance claim is $670.543. You work for an agency in Michigan and you are interested in whether or not the state average is different from the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ = 670.543, Alternative Hypothesis: μ ≠ 670.543. A random sample of 27 claims shows an average amount of $668.645 with a standard deviation of $68.6867. What is the test statistic and p-value for this test? Question 8 options: 1) Test Statistic: -0.144, P-Value: 0.44345 2) Test Statistic: -0.144, P-Value: 0.5566 3) Test Statistic: -0.144, P-Value: 1.5566 4) Test Statistic: 0.144, P-Value: 0.8869 5) Test Statistic: -0.144, P-Value: 0.8869
1. The strength of steel wire made by an existing process is normally distributed with a mean of 1550 and a standard deviation of 170. A batch of wire is made by a new process, and a random sample consisting of 25 measurements gives an average strength of 1316. Assume that the standard deviation does not change. Is there evidence at the 1% level of significance that the new process gives a larger mean strength than the old? To answer this question, the null hypothesis could be stated as A. μ= 1550 psi B. μ> 1550 psi C.µ + 1550 psi D. μ< 1550 psi
Two species of fish have similar phenotvpes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?
2. Average Senior High School annual cost of tuition fee for all private schools last yearwas Php43,700. A random sample of costs this year for 45 private schools indicatedthat the sample mean was Php45,800 and a sample standard deviation was Php5,600.At 0.01 level of significance, is there sufficient evidence to conclude that the costincreased?Solution:Step 1: State the hypothesis.?0: _____________________________________________________________?1: _____________________________________________________________Step 2: The level of significance and critical region.? = ________ and the ????????? = __________Step 3: Compute for the value of one sample t test. ????????? = _______Step 4: Decision Rule.___________________________________________________________________________________________________.Step 5: Conclusion:____________________________________________________________________________________________________________________________________________________________________________.3.…
The Woodcock-Johnson Cognitive Ability (WJCA) 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 WJCA score of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. 2. What are the confidence intervals for this data? 3. What is the value of the test statistic? 4. What is the p-value for this data? 5. What is your decision about the null hypothesis?: Reject Fail to Reject 6. Summarize the conclusion in the context of the problem.
Or the given scenario determine the type of error that was made if any.( Hint:Begin by determining the null and alternative hypothesis.) Economists considered a $3.110 as the mean price for a gallon of unleaded gasoline in the United States in a certain year. One consumer claims that the main price for a gallon of unleaded gasoline in the United States in a certain year is different from $3.110. The consumer conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality the main price for a gallon of unleaded gasoline in the United States in a certain year is $3.21. Was there an error made?if so what type?