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# Hypothesis Testing

### Stonefield Homes is developing 2 parcels near Minneapolis, MN.

Stonefield Homes is developing 2 parcels near Minneapolis, MN. In order to test different advertising approached, they use different media to reach potential buyers. The mean annual family income for 75 people making inquiries at the first development is \$150,000, with a standard deviation of \$40,000. A corresponding sample of 1

### Stating Null and Alternative Hypothesis

Help with Stating Null and Alternative hypothesis and the theories that support these hypotheses: Lemarks Studios is looking for advertiser dollars to help with production costs on its newest blockbuster movie. Lemarks Studios has several companies that want product placement in the film. The films producers wonder how many t

### Determine if two score distributions of scores differ significantly for the two subjects. Compare the results and draw conclusions and recommendations based on those results.

The table below shows the scores of a group of 15 students in mathematics and art: Student Math Art 1 22 53 2 37 68 3 36 42 4 38 49 5 42 51 6 58 65 7 58 51 8 60 71 9 62 62 10 65 65 11 66 66 12 56 56 13 66

### Statistical Tests: Define the Population

Choose a variable. Before collecting the data, decide what a likely average might be, then complete the following: Write a brief statement of purpose of the study Define the population State the hypotheses for the study Select an a value State how the sample was selected Show the raw data Decide which statistical t

### Single Mean & Difference Between Two Means & Standard Deviation

Explain the difference between testing a single mean and testing the difference between two means. What two assumptions must be met when one is using z test to test differences between two means? When can the sample standard deviations s 1 and s 2 be used in place of the population standard deviations s 1 and s 2?

### Hypothesis Testing, Z-Tests and T-Tests

A. Select a variable. Compare the mean of the variable for a sample of 30 for one group with the mean of the variable for a sample of 30 for a second group. Use a z test. B. Select a variable. Compare the mean of the variable for a sample of 10 for one group with the mean of the variable for a sample of 10 for a second group

### Hypothesis Testing and Variation in Data

TRUE OR FALSE? (WITH JUSTIFICATION) 1. Supporting the null hypothesis would be possible only if we could prove it for 100% of all possible cases. 2. If the claim says that µ >200 and the sample mean is 215, we can say that the claim is true because it is obvious even without a formal test. 3. A Calculated Value of

### Assessing variability in a dataset

1. Variability in a dataset may be caused by various sources. Provide an example sample dataset where one or more than one sources causing its variability. Explain briefly with one or two lines explanations of those sources. Also, calculate the sample variance for the example data set that you have provided. 2. Organize the

### Hypothesis Testing and Decision Rules

An auditor reviewed 25 oral surgery insurance claims from a particular surgical office determining that the mean out-of-pocket patient billing above the reimbursed amount was \$275.66 with a standard deviation of \$78.11. a. At the 5 percent level of significance, does this sample prove a violation of the guideline that the ave

### Hypothesis Testing: Processing Orders

The web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using alpha =.025? See story.news.yahoo.com accessed June 25, 2004)

### Coin Flips and Hypothesis Testing

A coin was flipped 60 times and came up heads 38 times. a. At the .10 level of significance, is the coin biased towards heads? Show your decision rule and calculations. b. Calculate a p-value and interpret it.

### The manufacturer of Trilene braided fishing line claims that the average number of gamefish that can be landed before the line needs to be replaced on the reels is 5,000.

The manufacturer of Trilene braided fishing line claims that the average number of gamefish that can be landed before the line needs to be replaced on the reels is 5,000. The standard deviation of the number of fish landed is 600. Denny sampled 60 of his big game rods on his fleet of sport fishing boats and determined that the a

### List three cases for a test comparing two means

List three cases for a test comparing two means. Explain carefully how they differ.

### Type I and Type II error..

Type I and Type 11 error Please see attached. Thank you. Describe the action that would result in a type I error and a type II error if each of the following null hypotheses were tested. a. H0: There is no waste in US Defense Department spending b. H0: This fast-food menu is not low fat

### Find Critical Z Value Assuming Normal Distribution

Please help me solve the following, I need the steps so that I can do them myself. Let me know how many credits will be required. 1.)Find the critical z value, assume that the normal distribution applies. alpha = 0.005; H1 is p not equal 0.20 2.)In 1990, 5.8% of job applicants who were tested for drugs failed the test. At

### Critical region and critical values

Please help with the following problem. Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following: a. H0: m = 25 and Ha: m ¹ 25, a = 0.10 b. H0: m £ 32 and Ha: m > 32, a = 0.01 c. H0: m ³ 13 and

### Testing the Mean Life of a Battery

Please see attached file. 1) Which of the following would be the correct hypotheses for testing the claim that the mean life of a battery for a cellular phone (while the phone is left on) is less than 24 hours? A. H0: &#61549; &#61619; 24 and Ha: &#61549; < 24 B. H0: &#61549; = 24 and Ha: &#61549; &#61625; 24 C. H0: &

### Hypothesis Testing and Prospective Homebuyers

Metro Real Estate Association is preparing a pamphlet that they feel might be of interest to prospective homebuyers in the Middletown and Brockton areas of the city. One item of interest is the number of years children remain in the same district for schooling. A sample of 40 households with school-aged children in Middletown wa

### Hypothesis Testing

Choose a variable (such as number of daily admissions at a local theater or number of miles students have to commute daily to get to their college.) Before collecting the data, decide what a likely average might be, then complete the following: a. Write a brief statement of purpose of the study b. Define the population c.

### Hypothesis Testing: Differences Between Means

Given the sample data below calculate the following: a. Sample Mean - Set One: ______ b. Sample Mean - Set Two:_____ c. Sample Std. Dev. - Set One: _____ d. Sample Std. Dev. - Set Two: _____ e. Sample Size - Set One: _____ f. Sample Size - Set Two: _ g. Hypothesis Test at LOS 0.01 if Set One has a higher population aver

### .Testing of hypothesis problems

A sample size of 35 is used to test H0: m 65 vs. Ha: < 65. Given that = 63.5 and = 2.5, answer the following questions What is the computed value of the test statistic? What distribution does the test statistic have when the null hypothesis is true? Is the alternative hypothesis one-tailed or two-tailed? What is the p-v

### Hypothesis Testing for Heart Risk Reduction Drug

Background: In a study conducted, researchers gave prescription X to 2,325 people and an inactive prescription to 2,081 people (avg age 58). After 5 years, 57 of the prescription X population had suffered a heart attack, compared to 97 for the inactive drug. Need to answer the following: 1. Overall does lovastatin reduce th

### Hypothesis Testing Problems Based on the P Value Method and the Traditional Method

9.54 Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard

### Hypothesis test for the difference of population means: Paired comparisons

I am looking to understand the formula for calculating the standard deviation for the T Statistic - in the problem attached among learning th T Statistic.

### The airline industry and overweight baggage

Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee (usually about \$50.00 per item). Airlines continually monitor the proportion of overweight items in order to evaluate the ap

### Hypothesis Test Using AIU's Large Database

Perform hypothesis testing on one variable's data. (Choose either the intrinsic or extrinsic column.) Perform a t-test by formulating a null and an alternative statement, choosing an acceptable significance value, selecting the test statistic and determining its value from the sample data, comparing the observed value to the cri

### Tests of Means/Proportions

A company has established a goal of processing 95 percent of its orders on the same date of receipt. However, only 485 out of 500 orders were actually processed on the same day, would this prove that they are exceeding their goal, using alpha = .025?

### Tests of Means and Proportions

A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.

### (a) At the .01 level of significance,is the true mean greater than 10? (b) Use Excel to find the right-tail p-value.

Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard devi

### Randomized Complete Block Designs

For each of the following problems you are to provide the following: a) The experimental design structure (CRD, RCBD). b) The null and research hypothesis, test statistic and all important (necessary) summary statistics, rejection region and conclusion. c) Based on the results of the analysis (part b), could you have made