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    Hypothesis Testing

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    Hypothesis Testing and P-Value Determination

    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 stand

    Clarification of Regression

    In the following regression (see attached data), X=total assets ($ billions), Y=total revenue ($ billions), and n=64 large banks. a. Write the fitted regression equation. b. State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D (see attached data) to find the critical value at a=.05.

    Correlation Coefficient and Hypothesis Testing

    A geography teacher is interested in the link between mathematical ability and the ability to visualize three dimensional situations. He gives a group of 15 students a test and records each students score, m, on the mathematics questions and each students score, v, on the visio-spatial questions. He calculates the following s

    Inflation Rate: Regression

    An attempt was made to evaluate the inflation rate as a predictor of the spot rate in the German treasury bill market. For a sample of 29 quarterly observations the estimated linear regression Y hat = 0.0027 + 0.791X was obtained, where Y = the actual change in the spot rate X = Change in the spot rate predicted by

    P-value and Hypothesis Testing

    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 Testing on Three Scenarios

    1. An aircraft manufacturer is attempting to determine if the average leg length of the adult male has changed from 44". A sample of 81 men was selected randomly and the average length was found to be 45.5", with a standard deviation of 5.5". Test the null hypothesis that the average leg length of the adult male is 44", at a = 0

    Sample Test - Suppose you heard a rumor that there was a difference in the salaries for men and women at your company. You decide to take a sample of employees and test the claim. The file represents ...

    Suppose you heard a rumor that there was a difference in the salaries for men and women at your company. You decide to take a sample of employees and test the claim. The file represents a random sample of 100 employees. Use a 0.05 significance level, test whether there is a difference in the mean salary for men versus women. No

    The retailing manager of a supermarket chain wants to determine whether product location has any effect on the sale of pet toys. Three different aisle locations are considered: front, middle, and rear. A random sample of 18 stores is selected, with 6 stores randomly assigned to each aisle location. [See the attached Question file.]

    The retailing manager of a supermarket chain wants to determine whether product location has any effect on the sale of pet toys. Three different aisle locations are considered: front, middle, and rear. A random sample of 18 stores is selected, with 6 stores randomly assigned to each aisle location. The size of the display are

    Sample Test - A newspaper article discussed the opening of a Whole Foods Market in the Time-Warner building in New York City. The following data compared the prices of some kitchen staples ...

    A newspaper article discussed the opening of a Whole Foods Market in the Time-Warner building in New York City. The following data compared the prices of some kitchen staples at the new Whole Foods Market and at the Fairway supermarket located about 15 blocks from the Time-Warner building: Half-gallon milk Whole Foods Pri

    Statistics of tennis

    A health club has six tennis courts. The owner hypothesizes that his patrons have no preference for a particular court. He observes how many people play on each court on a particular day. Compute the expected value for the data shown below. Court.......Number of Players 1..........................9 2.....................

    Insurance Auditor Hypothesis Testing

    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

    Hypothesis Testing of 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 α = .025?

    Coin Flip 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 toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.

    Hypothesis testing

    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

    Applied Statistics on Crash Damages

    11.24 In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Goliath Varmint

    Statistics

    10.30 In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significan

    Hypothesis Testing and Pension Plan

    A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table (see attachment). Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the .01 significance level.

    Hypothesis Testing - Comparing Miles per Gallon of Gas Types

    A research firm wants to compare the miles per gallon of unleaded regular, mid-grade, and super premium gasolines. Because of differences in the performance of different automobiles, seven different automobiles were selected and treated as blocks. Therefore, each brand of gasoline was tested with each type of automobile. The res

    Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift. A sample of 54 day ...

    Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers sh

    Hypothesis Testing - The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute. The quality-assurance department found in a sample of 50 customers at the Warren Road MacBurger that the mean waiting time was 2.75 minutes. At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?

    The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute. The quality-assurance department found in a sample of 50 customers at the Warren Road MacBurger that the mean waiting time was 2.75 minutes. At the .05 signi

    Medical Blood Plasma. Let x be the variable that represents the pH of the arterial plasma (i.e. acidity of the blood). For healthy adults, the mean of the x distribution is = 7.4. A new drug for arthritis has been developed.

    Medical Blood Plasma. Let x be the variable that represents the pH of the arterial plasma (i.e. acidity of the blood). For healthy adults, the mean of the x distribution is = 7.4. A new drug for arthritis has been developed. However it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis

    Chrysler Concorde: Acceleration Hypothesis Testing

    Consumer reports stated that the mean time for a Chrysler Concorde to go from 0 to 60 miles per hour was 8.7 seconds. a) If you want to set up a statistical test to challenge the claim of 8.7 seconds, what would you use for the null hypothesis? b) The town of Leadville, Colorado has an elevation over 10,000 feet. Suppose you

    Applied statistics in business and economics

    Prepare answers to the following assignments from the e-text, Applied Statistics in Business and Economics, by Doane and Seward: Chapter 10 - Chapter Exercises 10.30 In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348

    Hypothesis test - mean (single small sample) Operating temp.

    The mean operating temperature of an aircraft engine during level cruize is supposed to be 190 degrees. An airline tested one particular engine at randomly selected times. The mean temperature on these 25 tests was 193 degrees, with a standard deviation of 3 degrees. Should the pilot worry about th engine running hot? Conduc

    Hypothesis Testing - Sugar in Cereals

    Sugar in Cereal. Different cereals are randomly selected, and the sugar content (grams of sugar per gram of cereal) is obtained for each cereal, with the results given below for Cheerios, Harmony, Smart Start, Cocoa Puffs, Lucky Charms, Corn Flakes, Fruit Loops, Wheaties, Cap'n Crunch, Frosted Flakes, Apple Jacks, Bran Flakes, S