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# Hypothesis Testing

### Statistical Test - Hypothesis Testing Problem

9.63 In the Big Ten (the NCAA sports league) a sample showed that only 267 out of 584 freshmen football players graduated within 6 years. (a) At &#945; = .05 does this sample contradict the claim that at least half graduate within 6 years? State your hypotheses and decision rule. (b) Calculate the p-value and interpret it. (c) D

### Null and Alternative Hypotheses.

1. The National Safety Council reported that 52% of American turnpike drivers are men. A sample of 300 cars traveling southbound on the New Jersey Turnpike yesterday revealed that 170 were driven by men. With an &#945; = 0.01 can it be concluded that a larger proportion of men were driving on the New Jersey Turnpike than the

### 27. The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean ... 28. A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted ... [See the attached Question File.]

27. The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean ... 28. A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted ... 29. The Mac Burger restaurant chain cla

### Hypothesis Testing for OHIP Records

OHIP records show the average length of stay in Ontario hospitals is 5.4 days. A researcher sampled 125 patient records at US hospitals and found that the mean stay was 4.6 days, with a standard deviation of 1.1 days. Does the data support the idea that Ontario health insurance practices lengthen the stay in Canadian hospitals

### Distributions and confidence intervals

12. The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds. 1. What is the value of the population mean? What is the best estimate of this value? 2. Explain why we need to use

### Hypothesis Testing for Mother and Daughter Heights

9.1 Sketch a diagram of the decision rule for each pair of hypotheses. a. H0: mu >= 80 versus H1: mu < 80 b. H0: mu = 80 versus H1: mu _= 80 c. H0: mu <= 80 versus H1: mu > 80 9.10 In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a new "Smart Sp

### Hypothesis Testing for Beverages on a College Campus

One-year sales volume of four similar 20-oz. beverages on a college campus is shown. At α = .05, does this sample contradict the assumption that sales are the same for each beverage?

### Hypothesis Testing - Sales Offices & Software Products

A software company wants to determine whether there is a relationship between their three sales offices and the sales of their software products. The actual sales results are Product A Product B Product C Office 1 18 8 24 Office 2 15 22 13 Office 3 21 16

### Hypothesis Testing Multiple Choice

A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At a =.05, test the claim that the meal preference and the gender of the student are not related. Hamburgers Fried Chicken Female 12

### General Statistics Questions

Prepare answers to the following assignments from the e-text, Applied Statistics in Business and Economics, by Doane and Seward: 8.48 A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a

### Clark Heter is an industrial engineer at Lyons Products.

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

### P-value, test statistic, level of significance and critical value

Prepare a three-paragraph discussion of the relationship between p-value, test statistic, level of significance, and critical value. Allot one paragraph for each term. Discuss p-values for two sided and one-sided tests. Provide an example for tests using Z, Student-t, and Chi-squared. Provide equations for each when possible

### Profitability Effects of Large Firm Size

Does large firm size, pure and simple, give rise to monopoly profits? This question has been a source of great interest in both business and government and the basis for lively debate over the years...See attachment for more information. Questions: A. From the variables given: Build a model to test, i.e., choose the depende

### Hypothesis Testing for Population Standard Deviation

10.2 The following information is available. H0: µ ≤ 10 H1: µ > 10 The sample mean is 12 for a sample of 36. The population standard deviation is 3. Use the .02 significance level. 10.10 H0:  = .40 H1:  ≠ .40 A sample of 120 observations revealed that p = .30. At the .05 significance level, can the nul

### The Importance of Sampling and Hypothesis Testing

1. Why is sampling strategy important? Please provide one or two examples from your work or past experience? 2. What is the difference between the population of the study and the sampling frame? Provide an example to support your response. 3. Non-probability (purposive, quota) and probability (simply random, cluster) are t

### The Level of Confidence and the Mean Weight of Luggage

A trans-oceanic airline conducted a study to determine whether the average weight of baggage checked by a passenger differs significantly from 45 pounds. A random sample of 25 passenger baggages recorded a mean weight of 43.5 pounds with a standard deviation 6 pounds. Can the airline conclude that the mean weight of checked bagg

### One-tailed and Two-tailed

What is the difference between the null and alternative hypothesis statements in one tailed and two tailed tests? How can manufacturing companies use the standard normal distribution to determine quality control of their products?

### Null and Alternative Hypothesis in Two Tailed Tests

What is the difference between the null and alternative hypothesis statements in one tailed and two tailed tests? How can manufacturing companies use the standard normal distribution to determine quality control of their products?

### Multiple choice questions on Test of hypothesis

1) If a test of a hypothesis has a Type 1 error probability (a) of 0.01, we mean: A) if the null hypothesis is true, we don't reject it 1% of 0.01 of the time(B) if the null hypothesis is true, we reject it 1% of the time (C) if the null hypothesis is false, we don't reject it 1% of the time (D) if the null hypothesis is false

### Hypothesis testing for population temperature

In order to monitor the ecological health of the Florida Everglades, various measurements are recorded at different times. The bottom temperatures are recorded at the Garfield Bight station and a mean temperature of 30.4°C is obtained for the temperatures recorded on 61 different days. Assuming that &#963; = 1.7°C, test the cl

### Hypothesis Testing

The United States Golf Association requires that golf balls have a diameter that is 1.68 inches. An engineer for the USGA wishes to determine whether Maxfli XS golf balls have a mean diameter which is different from the 1.68. A random sample of 12 Maxfli XS golf balls was chosen. The mean diameter of the sample was 1.6809 with a

### Null and Alternate Hypothesis

According to the U.S. federal Highway Administration, the mean number of miles driven annually is µ=12,200. An insurance agent in Montana believes that the mean number of miles driven by the residents of his state is higher than the national average. A random sample of 35 drivers is taken from the list of registered drivers in

### Parametric 5 step hypothesis

Attached is an excel sheet with all data required for a 5 step hypothesis test. Please use a nonparametric test. (if this needs to be changed to MEDIAN vs MEAN to meet the requirements, please do so. I am confused on the differences of the types of tests. Please help!! Hypothesis Statement: H0: There is no significant d

### Hypothesis Testing

Compares the sample statistics with parameters expected for a normal distribution. Since the mean and standard deviation were fitted from the data, they tell us nothing. The median 4.808) is slightly less than the mean (4.844), but the skewness coefficient (0.14) is fairly close to the value (0.00 that would be expected in a sym

### Multiple choice questions in statistics-hypothesis, t statistic , p-value, two tailed test, population standard deviation, equality of the variance, F statistic, power of test, Kimberly Clark Corporation , related populations

I'm having trouble understanding the following question can you please explain? 1) The owner of an Internet video supplier, Netflix, has conducted a study of habits of online customers. In particular she wants to estimate the average number of videos checked out each month. Before she can determine the sample size she will ne

### P value method

A random sample of 51 observations was selected from a normally distributed population. The sample mean was = 88.6, and the sample variance was s2 = 38.2. Does the sample show sufficient reason to conclude that the population standard deviation is not equal to 8 at the 0.05 level of significance? Use the p-value method. A re

### One Sample Test Hypothesis

Given the following hypothesis: H0: µ =/>20 H1: µ<20 A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Using the .01 significance level, can we conclude the population mean is less than 20? a. State the decision rule. b. Compute the value of the test statistic. c. What is your

### Test of hypothesis

4. A neurologist wants to detect whether the mean response time for drug-injected rats differs from a control group not injected. The control group has the mean response time of 1.2 seconds. 100 rats are randomly chosen and injected with a unit dose of the drug. The average response time for the injected rats is 1.05 seconds wit

### Hypothesis Testing problem for proportion

A study of cats and dogs found that 11 of 50 cats and 21 of 50 dogs slept more than 10 hours per day. At the .05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportion of cats and the proportion of dogs that sleep more than 10 hours per day? A)No, there is not suffici

### Hypothesis Testing

A dietician investigated whether apples washed in hot water or in cold water turned brown at different rates when exposed to air. She took 13 random apples and cut each in half. She washed one half of each apple in hot water and the other half in cold water, and then put both halves out in a tray. Her results (in hours until tu