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# Hypothesis Testing

### Example of real life situation where two tailed test is used

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?

### Example of situation from professional experience of two sample test

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

### Testing a Null Hypothesis at 0.1 Significance

A New England Journal of Medicine study found that a substantial portion of acute hospital care is unnecessary. The physicians who conducted the study reviewed the medical records of 1,132 patients hospitalized at six different locations across the country. Overall, 60% of the admissions were judged to be appropriate, 23% were d

### To test if the serum helps to cure the disease

2. Two groups, A and B, consist of 100 people each who have a disease. A serum is given to group A but not to group B (which is called the control group); otherwise, the two groups are treated identically. It is found that in groups A and B, 75 and 65 people respectively, recover from the disease. a. At a significance level of

### Hypothesis Testing Review - 2 Questions

An investment services company claims that the average annual return on stocks within a certain industry is 11.5%. An investor wants to test whether this claim is true and collects a random sample of 50 stocks in the industry of interest. He finds that the sample average annual return is 10.8% and that the sample standard deviat

### Test of Mean for Rest Industries

The mean wage of workers in a certain industry over the whole country is \$210 per week, with a standard deviation of \$7.50. A sample of 100 workers from one large factory is found to have a mean wage of \$208 per week. Are the workers in this factory different from the rest of the industry?

### Finding population means

Fairfield homes is developing two parcels near Pigeon Fork, Tenn. In order to test different advertising approaches, they use different media to reach potential buyers. The mean annual family income for 75 people making inquires at the first development is \$150,000, with a standard deviation of \$40,000. A corresponding sample of

### Finding the p-value

The management of discount furniture, a chain of discount furniture stores in the northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 Salespeople were selected at random, and their weekly incomes before and after the plan were recorded. Sid: before \$320, after \$340 Carol: before \$290

### Finding population means

The null and alternative hypotheses are: Ho:u1=u2 H1: u1=u2 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 revealed a sample mean of 342 and a sample standard deviation of 15. at t

### Performing a Chi-Square Test

I am still having problems figuring these out. I'm supposed to perform the Chi-Square. Could you walk me thru this step by step? Completely Confused PG533-EX 10 HMWK-CHISQUARE -GOODNESS OF FIT - UNEQUAL EXPECTED FREQUENCIES CV=7.824 The chief of security for the Mall of the Dakotas was directed to study the problem of missi

### Statistical hypothesis testing of temperature instruments

A company compared the performance of two temperature instruments: one coupled to a process computer and the other used for visual control. Ideally, these two instruments should agree. The following data are the two temperatures over a five day period: (see chart in attached file) a. Conduct the most appropriate hypothesis

### Statistical processes

1. The yields from an ethanol-water distillation column have a standard deviation of 0.01. Process specifications call for a target yield of 0.93. Management wishes to detect any decrease in the true mean yield. a. A random sample of 8 recent batches produced the following yields. Conduct a hypothesis test to determine

### Hypothesis Testing

Please provide analysis to the attached article 1.) Briefly summarize the article 2.) Identify the hypothesis described in the article 3.) Explain how the hypothesis statement was used in the study

### Approximate Percentage

At one time the mean value of land and building per acre from a sample of farms was \$ 637, with a standard deviation of \$23. Find the approximate percentage of acreage whose values were between \$614 and 660. Approximate %.

### Flight price statistics problem

Central Airlines claims that the median price of a round-trip ticket to Jackson Hole, Wyoming, is \$503. This claim is being challenged by the Association of Travel Agents, who believe the median price is less than \$503. To resolve the issue, a random sample of 400 round-trip tickets was selected. Of these, 160 tickets were below

### Differences in mean allowance nationally and for Ohio

In a recent national survey, the mean weekly allowance for a nine-year-old child from his parents was \$3.65. A random sample of 45 nien-year-old in northwestern Ohio revealed the mean allowance to be \$3.69 with standard deviation of .24. At the .05 level of significance, is there a difference in the mean allowance nationally and

### Confidence interval and hypothesis testing

Captopril is a drug designed to lower systolic blood pressure. When subjects were tested with this drug, their systolic blood pressure readings (in mm of mercury) were measured before and after the drug were taken, with the results given in the table: a. Construct a 99% confidence interval for the mean difference between the

### Channel Viewers Hypothesis Testing

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

### The Mall of the Dakotas

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

### Testing of hypothesis of mean is explained

A machine is set to produce tennis balls so the mean bounce is 36 inches when the ball is dropped from a platform of a certain height. The supervisor suspects that the mean bounce has changed and is less than 36 inches. As an experiment 42 balls were dropped from the platform and the mean height of the bounce was 35.5 inches, wi

### Statistical relationship & cross tabulation

Please help set up this problem and create the pivot table in Excel. 1. The attached file MBA.XLS contains the results of a study on the academic preparation of MBA students and their performance in a Quantitative Analysis Course. A group of 181 students, constituting a random sample, was classified according to their latest

### A) Does the data suggest that watering raises the true yield by more than 50g/plant? b) Test the hypothesis that the paint does not make any real difference. c) Does this data suggest that the true mean alkalinity is higher downstream than upstream?

3 a)     In an experiment to determine the effects of drought conditions on a certain variety of potato, the following data on crop yield (g/plant) was obtained: TREATMENT SAMPLE SIZE MEAN YIELD STANDARD DEVIATION WATERED 6 376 78.4 UNWATERED 12 234 65.8 Does the data suggest that water

### Formula's for Statistical Problems: Lisa Monnin and Discount Furniture

Exercise # 14 The null and alternate hypotheses are: 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 revealed a sample mean of 342 and a sample standard deviation of 15. At the .10

### You are applying for a job at two companies compare using hypothesis tests

You are applying for a job at two companies. Company A offers starting salaries mean=\$31000 and standard deviation = \$12000. Company B offers starting salaries with mean=\$31000 and standard deviation =\$9000. From which company are you more likely to get an offer of \$57000 or more?

### Help solving these Probability Problems

1) Ms. Maria Wilson is considering running for mayor of the town of Bear Ghulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 400 voters reveas that 300 would support her in the November election. a) estimate the value of the population proportion. b) comput

### Hypothesis Testing with Proportions

#10 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

### Two-sample Dependent or Matched pairs T-test

Because of uncertainty in real estate markets, many homeowners are considering remodeling and constructing additions rather than selling. The most expensive room in the house to remodel is the kitchen, with an average cost of \$23,400. In terms of resale value, is remodeling the kitchen worth the cost? The following cost and r

### One-Sample T-Test Command

The national average for the price of a gallon of unleaded regular gas is \$1.16. I believe the price is higher in my area of the country. I want to test my claim by randomly selecting gas prices for 25 stations in my area. The following prices are: \$1.27 \$1.29 \$1.16 \$1.20 \$1.37 1.20 1.23 1.19 1.20 1.24

### Null and alternative hypotheses for an insurance problem

The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.04. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypo

### 5 Steps in hypothesis Testing

Need help working my way through the rest of the 5 steps with the information given. The null hypothesis is the average miles per gallon of fuel used in the Toyota Highlander hybrid vehicle, ?h is higher to equal to than that of a Toyota Hylander standard eight cyclinder, ?8. The alternative hypothesis is the average miles per