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# Hypothesis Testing

### Hypothesis testing problem

In a particular market there are three commercial television stations, each with its own evening news program from 6:00 to 6:30 P.M. According to a report in this morning's local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on WNAE (channel 5), 64 watched on WRRN (channel 11), and 33 on WSPD

### Hypothesis testing problem

The chief of security for the Mall of the Dakotas was directed to study the problem of missing goods. He selected a sample of 100 boxes that had been tampered with and ascertained that for 60 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 30 other boxes employees had stolen the goods, and f

### Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.

Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level. (Check the attached file for table) a. State the null hypothesis and the alternate hypothesis. b. What is the decision rule? c. Compute SST, SSE, and SS total. d. Complete an ANOVA table. e. State

### Statistics Problem Set and Signficance Levels

5. 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 is59,500 miles. Is Crosset

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. Suppose you wish to test the claim that ?d, the mean value of the differences d for a population of paired data, is greater t

### At the 0.05 significance level does the data suggest that it takes longer for the Roxborough Fire Department to respond?

The county commissioners received a number of complaints from county residents that the Roxborough Fire Department takes longer to respond to firs than the Manayunk Fire Department. To check the validity of these claims, a random sample of 60 fires handled by the Roxborough Fire Department was selected. It was found that the m

### Want to confirm my calculated answer

Last year the records of Ski and Golf, Inc., a sporting goods chain, showed the mean amount spent by a customer was \$30. A sample of 40 transactions this month revealed the mean amount spent was \$33, with a standard deviation of \$12. At the 0.05 significance level can we conclude that the mean amount spent has increased?

### Significance level can the manufacturer's claim be refuted

The manufaturer of the new subcompact Clipper claims that it will average "40 or more miles per gallon on the open road". Some of the competitors believe this claim is too high. To investigate, an independent testing agency is hired to conduct hightway mileage tests. A random sample of 64 clippers showed their mean miles per

### Population mean comparisons

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 sam

### Population mean problem

The null and alternate hypotheses are: H0: mean of 1 is equal to the mean of 2 H2: mean of 1 is not equal to the mean of 2 A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population reveale

### 5 hypothesis test questions

1) The manufacturer of the new subcompact Clipper claims that it will average "40 or more miles per gallon on the open road." Some of the competitors believe this claim is too high. To investigate, an independent testing agency is hired to conduct highway mileage tests. A random sample of 64 clippers showed their mean miles p

### To find if there is significant difference in means using t-test

(See attached file for full problem description) --- According to the historical data, the life expectancy in the United States is equal to the life expectancy in the United Kingdom. A new study has been made to see whether this has changed. Records of individuals from the United States who died recently are selected at ran

### Statistics Problems

(See attached file for full problem description with all charts) CHAP. 12 18. There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed at each hospital last week. At the .05 significance level, can we conclude there is a difference in the mean number of

### Alternative and Null Hypotheses

We are doing a team project for our statistics class and our project is about "Math Anxiety". We are stuck on one question and the questions are "the teams will state the null and alternative hypotheses, and the theories that support these hypotheses, that will be tested." If you could please explain what they are asking for and

### Hypothesis testing for paired sample of officers

The null and alternate hypotheses are: The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the South Carolina Highway Patrol for the last five months. Day May June July August September Officer Dhondt 30

### Hypothesis testing of travelers using e-tickets and complaints

Most air travelers now use e-tickets. Electronic ticketing allows passengers to not worry about a paper ticket, and it costs the airline companies less to handle than a paper ticketing. However, in recent times the airlines have received complaints from passengers regarding their e-tickets, particularly when connecting flights a

### At the .02 significance level, can we conclude that a larger proportion of students at your school have jobs?

A recent article in USA Today reported that a job awaits only one in three new college graduates. The major reasons given were an overabundance of college graduates and a weak economy. A survey of 200 recent graduates from your school revealed that 80 students had jobs. At the .02 significance level, can we conclude that a large

### To test if the mean waiting time of customer at Mac Burger restaurant is significant

The Mac Burger 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 Mac Burger that the mean waiting time was 2.75 minutes. At the .05 sig

### TWO SAMPLE TESTS OF HYPOTHESIS

Please help me with the following problems. There are a few I'm having trouble with. Please use EXCEL and show me a step by step solution to give me a full understanding. Thanks a lot! #1 A financial analyst wants to compare the turnover rates, in percent, for shares of oil-related stocks versus other stocks, such as GE an

### Sample Tests of Hypothesis

Please help me with the following 3 problems. There are only a few that I can't seem to figure out. Please use excel and show me a step by step solution to give me a full understanding. Thanks a lot! #1 The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before th

### Two-sample test of hypothesis of dependent samples

Provide an example of a situation from your personal or professional experience where an two-sample test of hypothesis of dependent samples would be useful in a decision-making process. How would the hypothesis statement read?

### P-Value and Hypothesis Testing

A recent article in the Wall Street Journal reported that the 30-year mortgage rate is now less than 6 percent. A sample of eight small banks in the Midwest revealed the following 30- year rates (in percent): 4.8 5.3 6.5 4.8 6.1 5.8 6.2 5.6 At the .01 significance level, can we conclude that the 30-year mortgage ra

### Hypothesis testing and p value New Jersey Red chickens

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): 4.

### Hypothesis testing - golf cart assembly

The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using

### Z Distribution 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 Crosset's

### Population Survey hypothesis test

The "Washington State Population Survey" is conducted biennially to support research on health care issues and other economic factors affecting Washington State residents. Data from the survey is publicly available and is used extensively in research by many organizations. See link for description of survey if you wish: http://

### Formulate Null and Alternative Hypotheses

1. Work through a simple regression calculation using intrinsic job satisfaction and extrinsic job satisfaction. You may USE ALL 288 data points from the DataSet file in Unit 1 or you may select a group of 30 data points. You must provide the 30 data points that you used however or I will be unable to check your work and you wi

### ANOVA Uses and Contingency Table

1. Name an application for the use of ANOVA. This can be in a professional setting, hobby, or something you find on the internet 2. What are some business situations where ANOVA would be more appropriate than a Z or T test? 3. Find an example of the use of a contingency table from the internet. Describe what it was test

### To state null and alternative hypothesis of given problems

(See attached file for full problem description with all symbols) 1. A coin-operated drink machine was designed to discharge a mean of ounces of coffee per cup. Suppose that we want to carry out a hypothesis test to see if the true mean discharge differs from . State the null hypothesis and the alternative hypothesis that