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# Hypothesis Testing

### Mean

An automobile assembly line operation has a scheduled mean completion time of 2.2 minutes. Because of the effect of completion time on both preceding and subsequent assembly operations, it is important to maintain the 2.2 minute mean completion time. A random sample of 45 assemblies resulted in the completion times shown in the

### Compute the Power of the Test .

A researcher is evaluating the influence of a treatment using a sample selected from a normally distributed population with a mean of u = 80 and a standard deviation of o= 20. The researcher expects a 12 point treatment effect and plans to use a two-tailed hypothesis test with a = .05. a. Compute the power of the test if

### Point estimate/hypothesis testing...

1. Which of the following is not a characteristic of the normal probability distribution? a. The mean, median, and the mode are equal b. The mean of the distribution can be negative, zero, or positive c. The distribution is symmetrical d. The standard deviation must be 1 e. None of the above answers is correct. 2. Whic

### Perform the appropriate hypothesis test using alpha = .05

Problem 3 A sales manager wants to know if the sales productivity of her east region is greater than the sales productivity of her west region. The results of a sample of 12 salespersons from the east region and 16 salespersons from the west region are shown below. Perform the appropriate hypothesis test using alpha = .05

### Statistics

9.54 - Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standa

### Statistics

1. A researcher is investigating the effectiveness of a new study-skills training program for elementary school children. A sample of n =25 third-grade children is selected to participate in the program and each child si given a standardized achievement test at the end of the year. For the regular population of third-grade child

### Two-tailed hypothesis test

Perform a two-tailed hypothesis test on the intrinsic variable AND a two-tailed hypothesis test on the extrinsic variable's data using a .05 significance level for each. Begin by creating a null and an alternate statement. Use Microsoft Excel to process your data. Copy and paste the results of the output to your report in Micr

### Interpreting and Comparing Test Statistics: Example Problems

a) For the CD Camera problem situation: interpret the p-value you calculated, in the terms of the problem. b) For the CD Camera problem situation: compare the test statistic you calculated to the corresponding critical value (NOTE: be sure to use the value of Alpha given in the test statistic question when calculating th

### Applied managerial statistics

CD Camera produces a new camera that it claims can take an average of more than 7 photographs per second. A test of 49 randomly selected cameras yielded the following sample values: mean= 7.2 Photos/sec S=.58 photos/sec Use Alpha = 0.05. Calculate the p-value. answers p-value=.0098 p-value=.1041

### Applied managerial statistics

Q9 CD Camera produces a new camera that it claims can take an average of more than 7 photographs per second. A test of 49 randomly selected cameras yielded the following sample values: mean =7.2 photos/secn S=.58 photos/sec Use Alpha = 0.05. Compute the value of the test statistic answers t=2.414

### Solve: Applied Managerial Statistics

Question: CD Camera produces a new camera that it claims can take an average of more than 7 photographs per second. A test of 36 randomly selected cameras yielded the following sample values: mean = 7.2 photos/sec S=.52 photos/sec. Using alpha = 0.025, determine the critical value rule.

### Biostatistics Hypothesis and Level of Significance

Step 1: set up hypotheses and determine the level of significance step 2: select the appropriate test statistic step 3: set up the decision rule step 4: compute the test statistic step 5: conclusion (reject Ho or do not reject Ho; also state the conclusion in the context of the problem i.e. " We have statistically si

### Formulating null and alternative hypotheses: CD camera example

CD Camera produces a new camera that it claims can take an average of more than 7 photographs per second. A test of 25 randomly selected cameras yielded the following sample values mean = 7.15 photo/sec S = .58 photo/sec. Use alpha = 0.01. Formulate the null and alternative hypotheses. Note: You will be doing several

### Performaning the Z Test for Population Mean

In fiscal 1996, the U.S. Agency for International Development provided 238,300 metric tons of corn soy blend (CSB) for development programs and emergency relief in countries throughout the world. CSB is a highly nutritious, low-cost fortified food that is partially cooked and can be incorporated into different food preparations

### Test the hypothesis that 40% will tune in to the 1965 Beetles concert

The producer of a TV special hopes that about 40 percent of the audience tunes in a re-release of a 1965 concert by the Beatles. A sample of 200 households revealed 60% would tune the concert. In a 0.10 significance level evidence suggests that at least 40 percent tune to the concert. Use the general format of the test hypot

### Introduction to hypothesis testing

Problem Set 1: Chapter 8, problems 2, 4, 6, 10, 12, 22, 24 2. The value of the z- score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following: a. increasing the difference between the sample mea

### Sample data to test the hypothesis with a two tailed test

A sample of n=9 score is obtained from a normal population with &#963;=12 and the sample mean is M=60. 1. Use the sample data to test the hypothesis with a two tailed test and &#945;=.05 and the mean populations is &#1019;=65 and &#1019;=55.

### Hypothesis of Two Independent Samples

During the 2008 election the following hypothesis was tested between two independent polling station as to the equality of the vote. Ho: u-u= < 0 - Ha : u-u>0 The following sample results were obtained from the two voting stations. Station-1 Station 2 n=32 n=40 x=22.2

### Hypothesis Testing: Golf

Arnold Palmer and Tiger Woods are two of the best golfers to ever play the game. To show how these two golfers would compare if both were playing at the top of their game, the following data provide the results of 18-hole scores during the PGA tournment competition. Palmer Woods N=112 N=84

### Hypothesis Testing with One Sample: Determining Outcome Variable

Recent recommendations suggest 60 minutes of physical activity per day. A sample of 50 adults in a study of cardiovascular risk factors report exercising a mean of 38 minutes per day with a standard deviation of 19 minutes. Based on the sample data, is the physical activity significantly less than recommended? Run the appropriat

### Hypothesis Testing: Finding First Job

A University employment office wants to compare the time taken by graduates with 3 different majors to find their first jobs after graduation. The following tables lists the time (in days) taken to find their first full time job after graduation for a random sample of 8 business majors, 7 computer science majors & 6 engineering

### Hypothesis Testing Statistics

A dietician wanted to test 3 different diets to find out if the mean weight loss for each of these is the same. She randomly selected 21 overweight persons, randomly divided them into 3 groups, put each group into one of three diets. The following table records the weights (in pounds) lost by each persons after being on these

### 5-Step Hypotesis Test: Real Estate Data

One Sample Hypothesis Testing Paper Using numerical data from one of the 2005 Real Estate data set, develop one business research question (The research question is "What Affects the Price of a Home)?") from which you will formulate a research hypothesis that will test two or more populations (HO: the price of a home is less

### Comparing the mean food prices at Whole Foods and Fairway Market

A newspaper article discussed the opening of a Whole Foods Market in the Time=Warner building in NYC. The following data compared the prices of some kitchen staples at the new Whole Foods Market and at the Fairway supermarket. Items Whole Food Fairway milk 2.19 2.39

### State the Null and Alternative Hypotheses

The quality control manager at a lightbulb factory needs to determine whether the mean life of a large shipment of lightbulbs is equal to the specified value of 375 hours. State the null and alternative hypotheses.

### Hypothesis Testing

8. A professor in the psychology department would like to determine whether there has been a significant change in grading practices over the years. It is known that the overall grade distribution for the department in 1985 had 14% As, 26% Bs, 31% Cs, 19% Ds, and 10% Fs. A sample of n=200 psychology students from last semester p

### 5 Step Hypothesis Test: Correlation

Consumer Reports magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Test for a correlation. Based on these results, do you get better quality paint by paying more? Quality 90 87 87 86 86 86 82 81 78 62 61 59 23 Cost 27 32 34 30 20 19 19 36 15 39 24 25 15 (i) Te

### Consumer Reports magazine tested large Plasma TV's

Plasma TV's Consumer Reports magazine tested large Plasma TV's. The table below shows the rankings of TV's by overall quality score and cost. High values are given low ranks, so the TV with a quality rank of 1 is the TV with the highest quality score, and a TV given a cost rank of 1 is the most expensive. Test for a correlati

### Null hypothesis, decision rule, two-tailed test, z value

6 Marks: 1 Please answer questions 6 - 9 based on the following information. A firm has an order process time of at least 20 minutes. After a change in the process, a researcher wishes to determine if the processing time for orders in a warehouse averages less than 20 minutes, at a 99% confidence level. The researcher uses

### Statistics: Current programmed text method vs computer assisted method

See attached file. Compare the proposed and current methods of instruction, an entering class of 122 students was assigned randomly to one of the two methods. One group of 61 students used the current programmed-text method and the other group of 61 students used the proposed computer-assisted method. The time in hours was re