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    Hypothesis Testing

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    Null and alternate hypothesis

    1.A machine produces 5-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows: 4.94 4.94 5.07 4.91 4.98 5.00 4.94 5.09 5.00 4.92 5.08 5.06 Assuming that a = 0.10, test the hypothesis that the population mean is equal to 5. ?State the null and alternate hypotheses ?&

    Hypothesis testing: Coin flip example

    A coin was flipped 100 times and came up heads 59 times and tails 41 times. The expected outcome was to land on heads or tails 50 times each. Do a hypothesis test to test the null that the percentage is equal to the expected as opposed to the alternative that it is greater or lesser or equal to the expected value, depending on

    Sample Hypothesis Testing

    Objective: Identify the formal hypothesis testing process. 1. If a null hypothesis is not rejected at the 0.10 level, it may be rejected at the 0.05 level. a. 0 True b. 0 False Objective: Perform a hypothesis test of one proportion. 2. The Roman Senate has become concerned about the loyalty of the army in Gaul com

    Hypothesis Testing: Difference in the Means of the Two Groups

    You are given the following data. Test the claim that there is a difference in the means of the two groups. Use = 0.01. Group A Group B x1 = 5 x2 = 7 s1 = 12 s2 = 18 n1 = 63 n2 = 86 · State the null and alternate hypotheses · Determine which test statistic applies, and calculat

    The solution to Statistics: Hypothesis Testing

    The pulse rates below were recorded over a 30-second time period, both before and after a physical fitness regimen. The data is shown below for 8 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume pulse rates are normally distributed. Test using =

    Hypothesis Testing problem

    A machine produces 5-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows: 4.85 4.80 4.89 4.82 4.94 4.96 4.96 4.83 4.80 4.84 4.95 4.88 Assuming that = 0.10, test the hypothesis that the population mean is equal to 5. · State the null and alternate hypothe

    Hypothesis Testing - Critical Value, P-value

    In 2001, an estimated 78% of executives believed that age bias was a serious problem. In a 2004, 82% of the executives surveyed considered age bias a serious problem. The sample size for the 2004 study was not disclosed. Suppose 50 executives were surveyed. 1. At the 0.05 level of significance, use the 6-step critical value a

    Find the P-value for the indicated hypothesis test

    In a sample of 47 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%.

    F-test and confidence interval

    Consider the following Hypothesis Testing: H0: δ1² = δ2² Ha: δ1² ≠ δ2² The sample size for sample 1 is 25, and for sample 2 are 21. The variance for sample 1 is 4.0 and for sample 2 is 8.2 a) at the confidence level of 0.98, what is your conclusion of this test? b) What is the confidence

    Critical value/ p-value

    The owner of a restaurant has just changed the delivery process in order to reduce the mean time between the order and completion of delivery from the current 25 minutes. In the past, the population standard deviation has been 6 minutes. A sample of 36 orders under the new delivery process results in a sample mean of 22.4 minu

    Rejection Method and Interpret Results: Example Problem

    A job placement director claims that the average starting salary for nurses is $24,000. A sample of 35 nurses has a mean of $23,450 and a standard deviation of $400. Is there enough evidence to reject the director's claim at alpha = 0.05? Use the rejection region method and provide an interpretation of the results.

    Raw Data

    Directions: Use the attached set of raw data to complete the following tasks. For tasks 1 through 4 please focus on New Mexico highway fatalities.. In task five you will be comparing New Mexico and U..S. highway fatalities. All work must be done by hand. You may use a calculator but only as an aid.. You must demonstrate tha

    Statistics: 42 multiple choice questions

    For all calculation questions (#25 - 42), provide detailed calculations. All confidence interval problems should be set-up in their proper format. For all hypothesis tests, you should state the null and alternative hypotheses that you are testing. For problems involving looking up values off a table, indicate which probability d

    Hypothesis Testing of Variance & Sample size

    Question 5 Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the contents is 81 milliliters. A new machine is tested on a sample

    Statistics: Test Grocery store self checkout systems

    Many grocery stores have installed self checkout systems. Below is the number of customers using the service for a sample of 15 days at the Wal-Mart in Boonton, 120 108 120 114 118 91 118 92 104 104 105 112 97 118 108 117 Is it reasonable to assume that the mean number of customers using self che

    Statistics

    Use n=25 for each problem where necessary. An accountant randomly selects (60+n) general accounts payable and examines them to determine whether they are correct. Six accounts contained errors. Construct a 98% confidence interval for the true proportion of general accounts payable that contain errors. Com

    Minitab project

    Please see the attachment. Instructions: ? Follow the directions for each problem. ? Use Minitab for all the calculations. ? The data set is available in contents page of D2L in the Final Exam module called fall 2009.MTW. ? Label each printout of your Minitab session according to the problem and part of that problem.

    Dependent & Independent Variables, Hypothesis

    NClinics, Inc. is a specialty e-tailer that sales clothing and accessories for nurses and operates 87 catalog Web sites on the Internet. Kevin Conn, Sales Director, feels that the style (color scheme, graphics, fonts, etc.) of a Web site may affect its sales. He chooses three levels of design style (neon, old world and sophist

    Hypothesis Testing: Mean cost of raising a child

    The US Department of Agriculture reports that the mean cost of raising a child from birth to age 2 in a rural area is $8,390. You believe that this value is incorrect, so you select a random sample of 900 children (age 2) and find that the mean cost is $8,275 with a standard deviation of $1,540. At α = 0.05, is there enough

    Masterfoods targets proportion of red and brown candy colors

    Masterfoods targets a proportion of 13% (0.13) for both the red and brown colors. Using the methods in Section 8.4, test the hypothesis (α = 0.05) that the population proportions of these two colors are equal. NOTE: These are NOT independent samples, but we will use this approach anyway to practice the method. This also

    Likelihood of Fraud in a Furniture Retailer Fire

    See attached data file. A wholesale furniture retailer stores in-stock items at a large warehouse located in Tampa, Florida. In early 1992, a fire destroyed the warehouse and all the furniture in it. After determining the fire was an accident, the retailer sought to recover costs by submitting a claim to its insurance company

    Hypothesis Testing & Confidence Interval: yield of corn

    Bushels of Corn Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 109.7 118.9 134.8 109.6 127.3 115.6 130.4 130.2 111.7 105.5 Assume that the standard deviation of the population is known to be σ = 10 bushels per acre QUESTIONS: 1. Wh

    Statistics: test whether relaxation training affect number of chronic headaches?

    A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. For a week prior to training, each participant records the number of headaches suffered. Participants then receive relaxation training, and for the week following training the number of headaches is aga

    Elementary Statistics for Null and Alternative Hypothesis

    Elementary Statistics 1. A researcher knows that the population mean among college students taking the social test is a "neutral" 100. (scores higher than 100are assumed to represent more conformity than average and those lower than 100 indicates less conformity). A random sample of 30 students was selected, and the followin

    Statistics: Multiple Regression for a Data Set

    See file attached. Using the Major League Baseball Data Set available through the "Data Sets" link on your page, answer the research question of whether the number of wins of a team can be explained linearly by The Size of Stadium, ERA, and Stolen Bases. What I need to do is describe and perform multiple regression

    Develop Null and Alternative Hypotheses .

    The data on the next sheet are from a month of order corrections at Company A. The company is concerned because there are so many order corrections and they seem to be loosing money every time that they correct an order. The process improvement team collected the following data on the Detail sheet ... (Excel document attached