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# Hypothesis Testing

### Values of test statistics

The following sample data were obtained from three populations where the variances were not equal, and you wish to compare the populations. Sample 1 Sample 2 Sample 3 21 15 38 29 17 40 35 22 44 45 27 51 56 31

### Decision Rules, Test Statistics, and Null Hypothesis

H-subzero: Pie = .40 H-subone: Pie does not equal .40 A sample of 120 observations revealed that p = .30. At the .05 significance level, can the null hypothesis be rejected? A: State the decision rule B: Compute the value of the test statistic C: What is your decision regarding the null hypothesis?

### Hypothesis testing and correlation coefficient

1. A normal tomato will gain an average of 2 ounces per week during the growing season. A sample of 100 tomatoes is given a special hormone to increase their growth. The average weight gain of tomatoes in the sample was 3 ounces with a standard deviation of 1 ounce. Conduct a hypothesis test to determine if the hormone increased

### Hypotheses testing example problem

A normal tomato will gain an average of 2 ounces per week during the growing season. A sample of 100 tomatoes is given a special hormone to increase their growth. The average weight gain of tomatoes in the sample was 3 ounces with a standard deviation of 1 ounce. Conduct a hypothesis test to determine if the hormone increased

### Decision Rules, Computing Values, and Making Decisions

H-sub zero: pie = .40 H-sub one: pie does not equal .40 A sample of 120 observations revealed that p=.30. At teh .05 significance level, can the null hypothesis be rejected? A- State the decision rule B- Compute the value of the test statistic. C- What is your decision regarding the null hypothesis?

### Hypothesis & Confidence Statement

Identical surveys were conducted in 1990 and 2000. One question asked women was "Are most men basically kind, gentle, and thoughtful. The 1990 survey revaled that of the 3000 women surveyed, 2010 said they were. The 2000 survey revealed 1530 of 3000 thought they were. At the .05 level, can we conclude that women think men ar

### 2 Problems

2) Disney tells you that the average distance between the ears on a Mickey Mouse hat is 5 inches. In a sample of 100 Mickey Mouse hats you find that the average distance between the ears on the hats is 5.2 inches with a standard deviation of 1 inch. Conduct a hypothesis test to determine if the average distance between the ear

### Hypothesis Testing, Null and Alternate Hypothesis and Two-Tailed Hypothesis Tests

5) ESPN reported in sample of 1000 homes the proportion of people who watched the Texas v. Ohio State college football game this weekend was .6. ESPN also reported that in another sample of 1000 homes the proportion of people who watched the Arizona State v. Louisiana State game was .4. Conduct a hypothesis test to determine i

### Nonparametric Methods-Frequency Distributions

A six-sided die is rolled 30 times and the numbers 1 through 6 appear as shown in the following frequency distribution. At the .10 significance level, can we conclude that the die is fair? (Please see attached for data).

### Statistical Terms in Managerial Finance

Briefly describe: a statistical relation, time series, cross section, least squares, See, r, R-squared, t-value, multicollinearity and serial correlation.

### Research Project

I have a team research project. We have completed the first part of the paper, but are stuck on where to go with the second half and need help with writing and research and statistical testing for it. I am posting both the first part assignment, and the 2nd part which we need help with. We need help with all parts of the 2nd ha

### A Discussion On Significance Testing

A marketing analyst was studying the readability of two advertisements, each produced by a major company, and printed in the newspaper. A random sample of 100 marketing professors was selected. Fifty were randomly assigned to read the advertisement produced by Company A, and the other fifty were to read the advertisement produce

### Hypothesis testing

The following hypothesis are given: Ho: p less or equal to 0 H1: p >0 A random sample of 12 observations indicated a correlation of .32 Can we conclude that the correlation in the population is greater than 0? Use the .05 significance level. Ho is rejected if t> 1.714 t= .32SQRT 32-5/SQRT 1-(.32)^=? I don't know

### Applications of six-step hypothesis testing

Twelve students randomly selected from the entering class of college had the following SAT scores in math and English population mean=500, sigma=100 STUDENT ENGLISH MATH 1 500 545 2 551 662 3 493 561 4 519

### 6-step hypothesis testing

25 randomly selected tires from a tire company has the actual tread life: 40000 40100 38400 39170 36470 41360 37980 40060 38810 40370 39860 39280 41210 38660 38960 41780 39680 36240 38000 41120 39480 35160 42270 41320 39860 The company claims that this particular tire has a tread life of 40000 miles. Is this accurate or in

### 6-Step Hypothesis Testing with Light bulb Difference

A random sample of twelve 100 watt light bulbs made by Lite Up Your Life Inc had the following burn times: 1810, 1835, 1720, 1860, 2085, 1605, 1920, 1930, 1915, 1995, 1975, and 1975 hours. A random sample of fifteen 100 watt bulbs made by Lights R Us had the following burn times: 2065, 1855, 2135, 2129, 1795, 2245, 2085, 2135,

### 6-Step Hypothesis Testing on Price Differences

The following prices for seven games were taken from MacPrice and MacBuy catalog: GAME MACPRICE MACBUY MYST 22.99 24.99 REBEL ASSAULT 14.99 12.99 SOLITAIRE 14.99 12.99 RIVEN 29.99

### A 6-Step Hypothesis Test

A new procedure was tried on a number of patients. they were later asked whether they preferred the new procedure, the old procedure, or had no preference. Based upon the results, how do people feel? Use a 6 step hypothesis test prefer new prefer old no preference

### Travel Feasibility

Tourism is one consideration for Coffee time's future. A survey of 1233 visitors to Mumbai last year revealed that 110 visited a small cafe during their visit. Laura claims that 10% of tourists will include a visit to a cafe. Use a 0.05 significance level to test her claim. Would it be wise for her to use that claim in tryin

### Auto Accident Statistics

A number of minor automobile accidents occur at various high-risk intersections. A study was done. Eight intersections were chosen at random. The number of minor accidents during a 6-month period before and after the modifications were: Number of accidents A

### Determining Preference

Six people have declared their intentions to run for a county commission seat in the next general election. A political poll is conducted three-quarters of the way into the campaign to determine if there are any clear preferences on the part of the voters. One thousand twenty randomly-selected voters were asked to indicate thei

### Significance of proportions of students

Research at the University of Toledo indicates that 50% of the students change their major area of study after the first year in a program. The random sample ot 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrea

### Sampling to Derive Meaningful Statistics

--- 1. Given the following population data: 1,2,4,5,8,9,12, and the lists of all samples of size 2 and 5: Samples of n = 2 xbar Samples of n = 5 xbar 1,2 1.5 For population 1,2,4,5,8 4 1,4 2.5 s = ? 1,2,4,5,9 4.2 1,5 3 m = ? 1,2,4,5,12 4.8 1,8 4.5 1,2,4,8,9 4.8 1,9 5 1,2,4,8,12 5.4 1,12 6.5 1,2,4,

### Hypothesis testing

The following are the GMAT scores and the GPA's of a random sample of 6 students in a graduate school. During a 'cram' weekend the students learned several GMAT applications. With a 0.05 los did the GPAs increase? BEFORE AFTER GMAT GPA GPA 610 3.60 3.70 470 3.25 3.30 590 3.50 3.45 520 3.

### Hypothesis Testing Focused on Significance Levels

Surveys have been widely used by politicians around the world as a way of monitoring the opinions of the electorate. Six months ago, a survey was undertaken to determine the degree of support for national party leader. Of a sample of 1,100, 56% indicated that they would vote for this politician. This month, another survey of 800

### Developing a hypothesis about a mean time

Studies from a local mall show the typical shopper spends 0.75 hrs shopping. The standard deviation is 0.10 hours. A sample of 45 shoppers revealed the mean time spent increased to .080 hrs. Develop a hypothesis to determine if the mean time spent is more than 0.75 hrs using the .05 significance level. Suppose the mean sh

### Problem in Statistical Business Economics

Calculate the rate of return for one year (reported in percent) for a sample of 12 mutual funds: 4.634 4.15 4.76 4.70 4.65 4.52 4.70 5.06 4.42 4.51 4.24 4.52. Using .05 significance level, is it reasonable to conclude that the mean rate of return is 4.50 percent?

### Dual Degree Students

The MBA department is concerned that dual degree students may be receiving lower grades than the regular MBA students. Two independent random samples have been selected. 100 observations from population 1 (dual degree students) and 100 from population 2 (MBA students). The sample means obtained are X1(bar)=83 and X2(bar)=85. It

### This is a Statistics Problem

1. An experiment is designed to test the effectiveness of a specific type of gender selection process, using 15 couples trying to have baby girls. Here is the question: The empirical rule applies to bell-shaped (normal) distributions. Is the binomial probability distribution for this experiment approximately normal? Show w

### Various Statistical Analyses

1. Suppose a sample of size 25 is selected from an underlying normal population, the population standard deviation is known to be 8, and the sample mean is 57. Carry out a hypothesis test at the 0.05 level of significance, where the null hypothesis H0 is &#61549; = 60 and the alternative hypothesis H1 is &#61549; &#61625; 60.