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# Hypothesis Testing

### Days to recover from a cold; sound frequencies

A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 15 volunteers were given tablets only containing 4

### Statistics: Alternative hypothesis, one-tailed test, t-distribution, critical value

1. If the alternative hypothesis states that mu > 6700 the rejection region for the hypothesis is: a) Both tails b) Lower tail c) Upper tail d) Center e) None of the above 2. For a one tailed hypothesis test, the critical value of the test statistic is -2.33. Which of the following is true about the hypothesis test? a)

### Hypothesis Testing of Mean and Population Proportion

1. In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At alpha = .01, did the yellow fire trucks have a significantly

### Hypothesis Testing using P value format: Would 60% of retired people return to work?

(AARP) reports that 60% of retired persons under the age of 65 would be willing to return to work on a full time basis if a suitable job were available. A sample of 700 retired persons under the age of 65 revealed 520 would return to work. Can we conclude that more than 60% of retired people in the age group would return to

### Regression/sustainability/AVC/SMC

Please assist with all parts. Thank you!!! Palm Products Company has collected data on its average variable costs of production for the past 12 months. The costs have been adjusted for inflation by deflating with an appropriate price index. The AVC and associated output data are presented below: obs Q AVC obs Q A

### Numerical and Verbal Hypothesis

Formulate both a numerical and verbal hypothesis statement regarding the wages of different ages. Wage Industry Occupation Ed South Nonwh Hisp Fe Ex Marr Age Union 19388 1 0 6 1 0 0 0 45 1 57 0 49898 2 0 12 0 0 0 0 33 1 51 1 28219 0 3 12 1 0 0 0 12 1 30 0 83601 0 5 17 0 0 1 0 18 1 41 0 29736 0 4 8 0 0 1 0 47 1 61 1 5023

### 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

### 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

### 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

### 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

### 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

### Statistics

MEALS-ON-TRACKS Contract specifications require (among other things) that Meals-On-Tracks, Inc., deliver 14,400 combat meals with a mean weight of 8.5 ounces. You have been given a technical report with the results of a sample of 25 dry combat meals taken from today's shipment. The sample had a mean weight of 8.0 ounces and a

### Behavioral statistics: Compute SS for a set of 3 treaetment means

The following data represent the results from an independent-measures study comparing three treatments. a. Compute SS for the set of 3 treatment means (Use the three means as a set of n=3 scores and compute SS) Treat the means as if they are scores and compute their mean as you would calculate the mean for the scores. Then ob

### Hypothesis Testing of Mean: Year-end bonuses

Wall Street securities firms paid out record year-end bonuses of \$125,500 per employee for 2005 (Fortune, February 6, 2006). Suppose we would like to take a sample of employees at the Jones & Ryan securities firm to see whether the mean year-end bonus is different from the reported mean of \$125,500 for the population. A. Stat

### Standard Deviation

1. The Gibbs Baby Food Company wishes to compare the weight gain of infants using their brand versus their competitor's. A sample of 40 babies using the Gibbs products revealed a mean weight gain of 7.6 pounds in the first three months after birth. The standard deviation of the sample was 2.3 pounds. A sample of 55 babie

### Statistics Conducted P-Values

A study conduced a few years ago claims adult men spend an average of 11 hours a week watching sports on tv. A recent sample of 100 adult men showed that the mean time they spend per week watching sports on TV is 9 hours. The population standard deviation is given to be 2.2 hours. a) Test at the 1% significance level whether

### Hypothesis testing and statistical significance.

In an article about anti-tobacco campaigns, Siegel and Biener (1997) discuss the results of a survey of tobacco usage and attitudes, conducted in Massachusetts in 1993 and 1995; Table 4-4 shows the results of this survey. Focusing on just the first line (the percentage smoking 25 cigarettes daily), explain what this result means

### 3 problems

6. In 1978, a small plane slammed into a passenger jet over San Diego, killing 144 people. Langhorne Bond, then the head of the FAA, responded by proposing strict new curbs on small planes around many busy airports. Examine the following FAA data. Is there a statistically significant difference in the frequency of different

### General Statistics

1. Z-test A researcher wishes to test the claim that the average age of lifeguards in Ocean City is greater than 24 years. She selects a sample of 36 guards and finds the mean of the sample to be 24.7 years with a standard deviation of 2 years. Is there evidence to support her claim at a 95% level of confidence? 2. T-test fo

### Test the Hypothesis at Significance Level (Alpha)= 0.05

Test the hypothesis at the 0.05 level of significance. The treatment means are equal. Treatment 1 Treatment 2 Treatment 3 9 13 10 7 20 9 11 14 15 9 13

### Testing proportions: would you expect to observe this many people in favor of this proposition?

A survey dating back to the 1990's suggested that Americans anticipated a reduction in living standards and that a steadily increasing consumption no longer might be as important as it was in the past. (Were they right?) Suppose that a poll of 2000 people indicated 1373 in favor of forcing a reduction in the size of American

### Hypothesis Testing Widgets

You want to determine if your widgets from machine 1 are the same as machine 2. Machine 1 has a sample mean of 500 and a population standard deviation of 6 and a sample size of 18. Machine 2 has a sample mean of 500.5 and a population standard deviation of 2 with a sample size of 2. With an alpha of .05 can we claim that ther

### Hypothesis Testing: Mean Number of Customers

Your population mean has always been 9 customers per hour. The sample standard deviation is 4. The sample size is 25. The sample mean is 8. .05 is your level of significance. Use your sample data to test the claim that the number of customers you are serving per hour has changed. Choose the most accurate answer to running

### Statistics: Mill Valley Brewery, bank manager's system, mean body temp

See attached file. Please show all work. Consider the following hypothesis test: Ho: mu &gt;= 80 Ha: mu &lt; 80 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion (reject or fail to reject) for each of the following sample results. Use alpa = 0.01 1. x = 7

### Statistics: P value, Tri-Cities Tobacco, attribute vs variable control chart, note pads

9.8 Calculate the test statistic and p-value for each sample. a. H0: &#960; &#8804; .60 versus H1: &#960; > .60, &#945; = .05, x = 56, n = 80 b. H0: &#960; = .30 versus H1: &#960; = .30, &#945; = .05, x = 18, n = 40 c. H0: &#960; &#8805; .10 versus H1: &#960; < .10, &#945; = .01, x = 3, n = 100 9.12 The Tri-Cities Tob