Exam 10: Hypothesis Tests Involving a Sample Mean or Proportion

Political candidate A political candidate needs more then 50% of the votes to win the next election.In an effort to convince contributors to his campaign,he samples 800 potential voters of which 432 indicated they would vote for him.Use $\alpha$ = 0.05. -State the null and alternative hypotheses.

(Essay)

4.9/5

(38)

Question 161

Golf A round of golf on your typical course requires at least 4.5 hours.A particular golf club claims that the average length of time to complete a round of golf on their course is less than 4.5 hours.To test this claim,the club sampled 15 golfers and recorded their time to finish their round.The sample average was 4.4 hours with a standard deviation of 0.8 hours.Assume the time to complete a round of golf is normally distributed and use $\alpha$ = 0.01. -n = 225; p = 0.13; H₀: $\pi$ = 0.10,H₁: $\pi \neq$ 0.10; $\alpha$ = 0.02 Compute the test statistic. Appropriate test: Test statistic =

(Short Answer)

4.8/5

(30)

Question 162

In conducting a hypothesis test,we can choose any significance level we desire.In practice,however,levels of 0.10,0.05,and 0.01 tend to be most common.

(True/False)

4.7/5

(40)

Question 163

Table 1 Based on the sample data,a confidence interval has been constructed such that we have 95% confidence that the population mean is between 75 and 105. -What conclusion would be reached at the $\alpha$ = .05 level in testing H₀: $\mu$ = 85 versus H₁: $\mu \neq$ 85?

(Short Answer)

4.8/5

(31)

Question 164

In a one-tail test,the p-value is found to be equal to .068.If the test had been two-tail,the p-value would have been:

(Multiple Choice)

4.8/5

(34)

Question 165

Sermons My daughter and I have argued about the average length of our preacher's sermons on Sunday morning.Despite my arguments,she thinks that the sermons are more than twenty minutes (over twenty minutes is important to her especially when soccer was playing on TV).For one year she has randomly selected 12 Sundays and found the average time of 26.42 minutes with a standard deviation of 6.69 minutes.Assuming that the population is normally distributed and using a 0.05 level of significance,is my daughter correct in thinking that the average length of sermons is more than 20 minutes? What is the value of test statistic t?

(Short Answer)

4.9/5

(38)

Question 166

Golf A round of golf on your typical course requires at least 4.5 hours.A particular golf club claims that the average length of time to complete a round of golf on their course is less than 4.5 hours.To test this claim,the club sampled 15 golfers and recorded their time to finish their round.The sample average was 4.4 hours with a standard deviation of 0.8 hours.Assume the time to complete a round of golf is normally distributed and use $\alpha$ = 0.01. -A random sample of 10 observations was drawn from a large population.The data values were: 6,4,4,7,5,5,4,5,6,and 4 Test to determine if we can infer at the 5% significance level that the population mean is less than 6.

(Essay)

4.8/5

(42)

Question 167

A Type I error occurs when we:

(Multiple Choice)

4.9/5

(35)

Question 168

A portfolio manager was analyzing the price-earnings ratio for this year's performance.His boss said that the average price-earnings ratio was 20 for the many stocks,which his firm had traded,but he felt that figure was too high.The portfolio manager randomly selected a sample of 50 P/E ratios and found a mean of 18.17 and standard deviation of 4.60.Assume that the population is normally distributed and test at the 0.01 level of significance. The correct hypotheses are: H₀: $\mu$ = 20,H₁: $\mu$ > 20

(True/False)

4.9/5

(32)

Question 169

Which of the following statements is not true?

(Multiple Choice)

4.9/5

(32)

Question 170

Showing 161 - 170 of 170

Political candidate A political candidate needs more then 50% of the votes to win the next election.In an effort to convince contributors to his campaign,he samples 800 potential voters of which 432 indicated they would vote for him.Use $\alpha$ = 0.05. -State the null and alternative hypotheses.

In conducting a hypothesis test,we can choose any significance level we desire.In practice,however,levels of 0.10,0.05,and 0.01 tend to be most common.

Table 1 Based on the sample data,a confidence interval has been constructed such that we have 95% confidence that the population mean is between 75 and 105. -What conclusion would be reached at the $\alpha$ = .05 level in testing H₀: $\mu$ = 85 versus H₁: $\mu \neq$ 85?

In a one-tail test,the p-value is found to be equal to .068.If the test had been two-tail,the p-value would have been:

A Type I error occurs when we:

Which of the following statements is not true?

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Estimation From Sample Data

Hypothesis Tests Involving Two Sample Means

Analysis of Variance Tests

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters

Exam 10: Hypothesis Tests Involving a Sample Mean or Proportion

Political candidate A political candidate needs more then 50% of the votes to win the next election.In an effort to convince contributors to his campaign,he samples 800 potential voters of which 432 indicated they would vote for him.Use α\alphaα = 0.05. -State the null and alternative hypotheses.

In conducting a hypothesis test,we can choose any significance level we desire.In practice,however,levels of 0.10,0.05,and 0.01 tend to be most common.

Table 1 Based on the sample data,a confidence interval has been constructed such that we have 95% confidence that the population mean is between 75 and 105. -What conclusion would be reached at the α\alphaα = .05 level in testing H0: μ\muμ = 85 versus H1: μ≠\mu \neqμ= 85?

In a one-tail test,the p-value is found to be equal to .068.If the test had been two-tail,the p-value would have been:

A Type I error occurs when we:

Which of the following statements is not true?

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Estimation From Sample Data

Hypothesis Tests Involving Two Sample Means

Analysis of Variance Tests

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters

Political candidate A political candidate needs more then 50% of the votes to win the next election.In an effort to convince contributors to his campaign,he samples 800 potential voters of which 432 indicated they would vote for him.Use $\alpha$ = 0.05. -State the null and alternative hypotheses.

Table 1 Based on the sample data,a confidence interval has been constructed such that we have 95% confidence that the population mean is between 75 and 105. -What conclusion would be reached at the $\alpha$ = .05 level in testing H₀: $\mu$ = 85 versus H₁: $\mu \neq$ 85?