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    Hypothesis Testing

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    Test of hypothesis, Sample Size

    1. Erthromyacine is a drug that has been related with side effects during pregnancy. Assume that 30% of women experience side effects between the 24th and 28th week of pregnancy. Furthermore suppose that of 200 women who are taking the drug 110 complain of nausea. Test the hypothesis that the incidence rate of nausea for the dr

    Sample / Standard Deviation

    In a study of quantities of rice consumed in two different cities, a sample data looks as in the attachment. Sampling units were families of four, data is for a year. a. Would it be reasonable to conclude (95 percent confidence) that the two cities were statistically different in the average quantities of rice they consumed p

    Hypothesis Test for a Population Mean

    Monitoring the ecological health of the Everglades-the bottom temperatures are recorded at the Garfield Bight station and the mean of 19.7 degrees C is obtained for 62 temperatures on 62 different days. Assuming sigma=1.6 degrees C, test claim that the pop mean is less than 20.0 degrees C. Use a 0.05 significance level to calcul

    Grade Level Mean

    Teachers will not use a book in Grade 5 unless the reading level for a typical page can be shown to be above grade level 4.000. Grade level measurements are summarized: n=10, x bar=5.108, s=1.412 Use a 0.05 significance level to test claim that the mean is greater than 4.000. Assume simple random sample and that the pop of means

    Hypothesis Testing; Significance Level

    I) State the null and alternate hypothesis. II) Determine the rejection region. For example "if {see attachment}, then reject {see attachment}". III) Determine the Test Statistic. IV) Conclude either "Reject " or "Do not reject " based on your analysis and answer the question (either YES or NO) . V) Determine the p value of

    Minimize Total Expected Cost

    An item is subjected to a series of n tests (example: hardness, weight, length, etc.). Two known constants are associated with carrying out the ith test in the series. The constants are Ki (the cost per item of carrying out the ith test) and Ri (the probability of rejecting the item based on the ith test). The tests are indepen

    Statistics Problems

    Define the term "hypothesis"; what is a hypothesis test? 2. List and describe two types of error that can occur in hypothesis testing. 3. An independent testing laboratory has been commissioned to determine the relative fuel economy of cars, light trucks, and sport utility vehicles. A random sampl

    Stats: Detecting a Significant Difference using One-Tailed Test

    5 patients have a mean diastolic blood level of 95 are recruited for a study one month long. After one month the observed mean decline in diastolic blood pressure in these five patients is 4.8 with a standard deviation on 9. 7.32 how many patients would be needed to have a 90% chance of detecting a significant diff using a one

    Eight hypothesis testing problems

    The mean and serum level in 12 patients 24 hours after they recieved a newly proposed anitbiotic was 1.2 7.1 if the mean and standard deviation of the serum are 1 and 0.4 then using a signifigance level of 0.05 test if the mean serum level of this group is diff from the general population. 7.2 what is the p-value for the t

    Hypothesis Testing for Average Sentence Length

    From Bill's writing, we know that his average sentence length was 10.4 A paper has 59 sentences with an average length of 8.9, with a SD of 2.7. Test whether this paper was written by Bill.

    Two Tailed Test of Hypothesis

    In a normal population with sigma=20, a random sample of size n gave X(mean)=56.53. At the 5% significance level, make a two-tailed test of the null hypothesis mu=50, when (a) n=24 (b) n=36. In each case report the P value.

    Hypothesis Testing - Baseball Salary Data

    Refer to the Baseball 2000 data in Appendix D, which reports on the 30 major league baseball teams for the 2000 season. a. Conduct a test of hypothesis to determine whether the mean salary of the teams was different from $50.0 million and use a .05 significance level. b. Conduct a test of hypothesis to determine whether th

    Develop null and alternative hypotheses

    A bank has two incentive plans: a)cash back when the consumer makes an online purchase; b) cash back when the consumer makes a purchase at a clothing store. The bank doesn't know whether consumers would shop online more than at clothing stores. Develop null and alternative hypotheses to help the bank determine which

    Hypothesis Testing for Different Proprtions

    pop. size crime Nashville 569891 46016 Knoxville 173890 11983 Chattanooga 155554 15867 Using the above data write a hypothesis and preform an ANOVA test in excel. Test whether or not the crime rate is different in three different size cities. 0.05.

    Calculation of Expectation

    Z ~ N (0,1), other variables, except those dependent on Z are constants. The problem is to find expectation of C. Please, express expectation in terms of constant and show how you do that. S0=50; K=52 r=0.05 sigma=0.5 T=30

    Hypothesis testing

    Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, 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

    Hypothesis testing (Two population)

    A sample of 65 observations is selected from one population. The sample mean is 2.67 and the sample standard deviation is 0.75. A sample of 50 observations is selected from a second population. The sample mean is 2.59 and the sample standard deviation is 0.66. Conduct the following test of hypothesis using the .08 significanc

    Hypothesis testing

    The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is 5,000 miles. The Crosset Truck Company bought 48 tires and found that the mean mileage for their trucks is 59,500 miles. (a) Stat

    Hypothesis testing

    Experience raising New Jersey Red chickens revealed the mean weight of the chickens at five months is 4.35 pounds. The weights follow the normal distribution. In an effort to increase their weight, a special additive is added to the chicken feed. The subsequent weights of a sample of five-month-old chickens were (in pounds):

    Bottle Designs Null Hypothesis

    A consumer preference study involving three different bottle designs (A, B, and C) for the jumbo size of a new liquid laundry detergent was carried out using a randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three bottle designs, which were priced the same

    Hypothesis testing

    The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is 5,000 miles. The Crosset Truck Company bought 48 tires and found that the mean mileage for their trucks is 59,500 miles. Is Crosse

    Statistics - 2 problems

    1. Experience raising New Jersey Red chickens revealed the mean weight of the chickens at five months is 4.35 pounds. The weights follow the normal distribution. In an effort to increase their weight, a special additive is added to the chicken feed. The subsequent weights of a sample of five-month-old chickens were (in poun

    Inferential Tests

    Question: An analyst working at BC Statistics is compiling a report on the use of the internet at home. In 1997, 250 randomly selected people were asked about the average amount of time spent on the internet per week. The same 250 people were re-surveyed in June 2000. Which test should the analyst to determine whether the home u

    Kruskall-Wallis Test.

    Kruskall-Wallis Test A large corporation has been sending many of its first-level managers to an off-site supervisory skills course. Four different management development centers offer this course, and the corporation wants to determine whether they differ in the quality of training provided. A sample of 20 employees who have

    Comparing More than two samples

    A manufacturer of automobile transmissions uses three different product processes produce its product. The management ordered a study of the production costs to see if there is a difference among the three production processes. A summary of the findings is shown below.

    A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The researcher is interested in determining whether there is evidence that the two processes yields different average errors from the industry standard.

    A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is calculated. The results are

    At the .01 significance level, has there been an increase in production?

    An egg farmer wanted to determine if increasing the time the lights were on in his hen house would increase egg production. For a sample of eight chickens he determined their production before and after increasing the amount of time the lights were on. The data are reported below. At the .01 significance level, has there been