### Inferences from Two Samples

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Directions: Perform a one sample z test for a population mean using the p value approach. Be sure to state the hypothese and the significance leve, to compute the value of the test statistics, to obtain the p value and to state your conclusion. Question: In 1990, the average duration of long distance telephone calls originati

For each exercise, determine the a. rejection region b. nonrejectoin region c. critical value (s) d. significance level e. Identify the hypothesis test as two tailed, left tailed, or right tailed. 9.16 A graphical display of the decision criterion is: {see attachment} 9.18 A graphical display of the decision criter

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

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

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

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

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

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 signifigant diff using a o

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

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.

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

Ms. Lisa Monnin is the budget director for the New Process Company. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. Sales: 131, 135, 146, 165, 136, 142 Audit: 130, 102, 129, 143, 149, 120, 139 At the .10 significance level, can

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

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 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

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

State the null and alternate hypotheses, the decision rule, find the test statistic, state my decision, and estimate the P value for the following: 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

State the null and alternate hypotheses, the decision rule, find the test statistic, state your decision, and estimate the P value for the following: The mean high temperature for 12 days in July in Detroit, Michigan was 88 degrees with a standard deviation of 4 degrees. The mean high temperature in Hilton Head, S

State the null and alternate hypotheses, the decision rule, find the test statistic, state the decision, and estimate the P value for the following: A sample of 200 Lion Store charge customers 50 years or older showed that 20 did not pay their entire balance at the end of the month. A sample of 300 customers under 30 showed

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

Figure out 1). H0 and H1 and 1). the decision rule. The Andersons Super Dollar had two grocery stores in Erie, Pennsylvania. The mean time customers wait in the checkout line at the Byrne Road store is 3.7 minute with a standard deviation of .8 minutes, for a sample of 40 customers. The mean waiting time for the I-

The types of raw material used to construct stone tools found at the archaeological site Casa del rito are shown below (Bandelier Archaelogical Excavation Project, edited by Kohler and Root). A random sample of 1946 stone tools was obtained from a current excavation site. SEE ATTACHMENT Use a 5% level of significant to te

6. The manufacturer of a particular all-season tire claims that the tires last for 22,000 miles. After purchasing the tires you discover that yours did not last the full 22,000 miles. Suppose that a sample of 100 tires made by that manufactures lasted on average 21,819 miles with a sample standard deviation of 1,295 miles. I

4. Consider the following scenario: Thomas Kaczy, owner of Hamilton Poultry, a national poultry distributor, based in New Hampshire, reported data on high egg production of Rhode Island Red hens. The number of eggs produced were 25, 28, 17, 26, 27, 22, 25, and 30. He was interested in determining if he could conclude that th

Test suggests that the average client loses 15 lbs during the first month feels the actual number of pounds loss is less than this tested the claim by selecting 30 of the clients at random and obtain the following data: Pounsd lost during the 1st Month: 16 20 14 15 14 18 19 20 09 13 20 11 12 18 13 17 11 21

The Human Resources Director of Wayjacks Inc. has administered a dexterity test to job applicants for a period of several years. She assumes that the times required to complete the task are distributed with a mean of 10.8 minutes. The Director would like to know if applicants who have completed a vocational course tend to compl

An auditor for a government agency is assigned to the task of evaluating reimbursement for office visits to doctors paid by Medicare. The audit is to be conducted for all Medicare payments in a particular area during a certain month. An audit is conducted on a sample of 75 of the reimbursements with the following results. Ave

The manager of a big travel agency monitors agents who do booking for service by phone. The average time for a phone call, in seconds, is used as one summary of activity for the agency. Phone calls that are in excess of the 18.6 minutes are considered to be inefficient since they tend to tie up phone lines and in the long run

A) Use the data to develop an estimated regression that could be used to predict the median price for a market given the median income for the market. b) Use the t test determine whether the median sale price is realted to the median income. What is your conclusion at the 0.05 level of significance? c) Did the estimated regres