Question 1

In a criminal trial where the null hypothesis states that the defendant is innocent,a Type II error is made when:

Accepted Answer

A)  a guilty defendant is found not guilty. 
B)  an innocent person is found guilty. 
C)  a guilty defendant is found guilty. 
D)  an innocent person is found not guilty. 
A)  a guilty defendant is found not guilty. 
B)  an innocent person is found guilty. 
C)  a guilty defendant is found guilty. 
D)  an innocent person is found not guilty.

Question 2

Mr.Perfection
Mr.Perfection,the owner of a small unique restaurant called the Village Feed Store,is concerned with the waiting time for patrons on Sunday morning - the busiest day of the week.He is fearful that,though his establishment is extremely popular,excess waiting time will drive customers to Kenny's,a restaurant down the street.The hostess insists that customers do not have to wait more than an average of 10 minutes before being seated,but Mr.Perfection feels that the waiting time is longer.He takes a random sample of 100 customers over several Sundays.Assume that the population standard deviation $\text {σ}$ = 12 minutes,and that the significance level $\alpha$ = 0.05.
-What is the power of the test?

Accepted Answer

Power = 1

Question 3

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 conclusion?

Accepted Answer

Reject H₀.The average

Question 4

General Manager
The general manager of a large discount chain was considering location of a new store in a small mid-western city.The decision was dependent upon the per capita retail sales for the city being significantly greater than $4500.A sample of 500 residents was taken,and showed a mean of $4780.A population standard deviation of $2500 was known.
-Calculate the test statistic.
Appropriate test: ____________________
Test statistic = ____________________

Accepted Answer

The answer of General Manager
The general manager of a large...

Question 5

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: 22,17,27,20,23,19,24,18,19,and 24.
A)Estimate the population mean with 90% confidence.
____________________ to ____________________
B)Test to determine if we can infer at the 5% significance level that the population mean is not equal to 20.
H0:____________________
H1: ____________________
Appropriate test: ____________________
Test statistic = ____________________
Conclusion: ______________________
C)What is the required condition of the techniques used in parts (a)and (b)?
D)What graphical device can you use to check to see if that required condition is satisfied?

Accepted Answer

19.446; 23.154; @#LAT-DLM& = 20; @#LAT-DLM& 20; t-

Question 6

Retail store
A retail store claims that the average age of their customers is less than 40 years old.A sample of 50 customers had an average age of 38.7 years.Assume the population standard deviation is 12.5 years and use $\alpha$ = 0.05.
-State the decision rule in terms of the critical value.

Accepted Answer

If z ≥ -1.64@#LAT-DLM&then fai

Question 7

Use the given information to calculate the p-value and interpret the result:
H0: $\mu$ = 20,H1: $\mu$ < 20 $\text { σ }$ = 8.1 ,n = 100, $\bar { x }$ = 18.1, $\alpha$ = 0.025
p-value = ____________________
Interpretation: ____________________

Accepted Answer

Question 8

In statistics,what does each of the following symbols represent?
a.$\alpha$___________________________________________
b.$\beta$ ___________________________________________
c.1 - $\beta$___________________________________________
d.H0 ___________________________________________
e.H1 ___________________________________________

Accepted Answer

a.Alpha,represents the probability of ma

Question 9

The p-value of a test is:

Accepted Answer

A)  the smallestat which the null hypothesis can be rejected. 
B)  the largestat which the null hypothesis can be rejected. 
C)  the smallestat which the null hypothesis cannot be rejected. 
D)  all of the above. 
A)  the smallestat which the null hypothesis can be rejected. 
B)  the largestat which the null hypothesis can be rejected. 
C)  the smallestat which the null hypothesis cannot be rejected. 
D)  all of the above.

Question 10

The probability of Type I error is referred to as the significance level of the test.

Accepted Answer

A) True 
 B)False

Question 11

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 decision is: Because the test statistic t = -2.81 falls in the rejection region,reject H0.At the 0.01 level,there is enough statistical evidence to conclude that the alternative hypothesis is true and that the average P/E ratio for the stocks is less than 20.

Accepted Answer

A) True 
 B)False

Question 12

Local Restaurant
A local restaurant claimed in an advertisement that at least 80% of their customers rate their establishment as "Excellent".An independent survey company asked 200 customers their opinion and from this random sample,168 customers rated the establishment "Excellent".Use $\alpha$ = 0.05.
-What is the p-value?
What are your conclusions?

Accepted Answer

Since z = 1.41 and the p-value

Question 13

The z-test is the appropriate test statistic for any population distribution with a small sample size and an unknown population standard deviation.

Accepted Answer

A) True 
 B)False

Question 14

A Type II error is defined as:

Accepted Answer

A)  rejecting a true null hypothesis. 
B)  rejecting a false null hypothesis. 
C)  failing to reject a true null hypothesis. 
D)  failing to reject a false null hypothesis. 
A)  rejecting a true null hypothesis. 
B)  rejecting a false null hypothesis. 
C)  failing to reject a true null hypothesis. 
D)  failing to reject a false null hypothesis.

Question 15

Adult drink
A particular study claims that the average U.S.adult drinks 1.7 cups of coffee per day.To test this claim,a sample of 35 adults were asked about their coffee consumption.The sample average was 1.95 cups per day.Assume the population standard deviation is 0.5 cups per day and set $\alpha$ = 0.10.
-Calculate the p-value and state your conclusions.

Accepted Answer

Since the p-value eq

Question 16

It has been claimed that no more than 3% of the units coming off an assembly line are defective.Formulate a null hypothesis and an alternative hypothesis for this situation.
H0: ____________________
H1: ____________________

Accepted Answer

Question 17

Tail graph  
-Using the above graph,choose the answers that indicate a left-tail test:
Area 1: ____________________
Area 2: ____________________
Area 3: ____________________

Accepted Answer

Reject H₀;

Question 18

Soft drink
A soft drink dispenser is set to automatically dispense drinks and ice in 8 oz.cups.The machine is set to fill the cups with 7 1/4 oz.so that the liquid will not run over the top of the cup.The company is getting complaints that the machine is filling the cups too full and spilling over.When the machine is operating properly,only 1% of the cups will not be filled properly.The production manager conducted a one-tail hypothesis test at the 0.01 level to check the machine.A sample of 50 fills was measured.
-The power of the test refers to the probability of:

Accepted Answer

rejecting

Question 19

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ we do not reject the null hypothesis if the hypothesized value for $\mu$ :

Accepted Answer

A)  is to the left of the lower confidence limit. 
B)  is to the right of the upper confidence limit. 
C)  falls between the lower and upper confidence limits. 
D)  falls in the rejection region. 
A)  is to the left of the lower confidence limit. 
B)  is to the right of the upper confidence limit. 
C)  falls between the lower and upper confidence limits. 
D)  falls in the rejection region.

Question 20

For a sample of 36 items from a population for which the standard deviation $\alpha = 12$ the sample mean is 350.Use the 95% confidence interval to test the hypothesis H0: $\mu$ = 400 versus H1: $\mu \neq$ 400 at the $\alpha$ = .05 level of significance.

Accepted Answer

Since the hypothesized value o

In a criminal trial where the null hypothesis states that the defendant is innocent,a Type II error is made when:

Retail store A retail store claims that the average age of their customers is less than 40 years old.A sample of 50 customers had an average age of 38.7 years.Assume the population standard deviation is 12.5 years and use $\alpha$ = 0.05. -State the decision rule in terms of the critical value.

Use the given information to calculate the p-value and interpret the result: H₀: $\mu$ = 20,H₁: $\mu$ < 20 $\text { σ }$ = 8.1 ,n = 100, $\bar { x }$ = 18.1, $\alpha$ = 0.025 p-value = Interpretation:

In statistics,what does each of the following symbols represent? a. $\alpha$ _____________________ b. $\beta$ _ c.1 - $\beta$ _ d.H₀_ e.H₁_______________________

The p-value of a test is:

The probability of Type I error is referred to as the significance level of the test.

The z-test is the appropriate test statistic for any population distribution with a small sample size and an unknown population standard deviation.

A Type II error is defined as:

It has been claimed that no more than 3% of the units coming off an assembly line are defective.Formulate a null hypothesis and an alternative hypothesis for this situation. H₀: H₁:

Tail graph -Using the above graph,choose the answers that indicate a left-tail test: Area 1: Area 2: Area 3:

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ we do not reject the null hypothesis if the hypothesized value for $\mu$ :

For a sample of 36 items from a population for which the standard deviation $\alpha = 12$ the sample mean is 350.Use the 95% confidence interval to test the hypothesis H₀: $\mu$ = 400 versus H₁: $\mu \neq$ 400 at the $\alpha$ = .05 level of significance.

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

In a criminal trial where the null hypothesis states that the defendant is innocent,a Type II error is made when:

Retail store A retail store claims that the average age of their customers is less than 40 years old.A sample of 50 customers had an average age of 38.7 years.Assume the population standard deviation is 12.5 years and use α\alphaα = 0.05. -State the decision rule in terms of the critical value.

Use the given information to calculate the p-value and interpret the result: H0: μ\muμ = 20,H1: μ\muμ < 20 σ \text { σ } σ = 8.1 ,n = 100, xˉ\bar { x }xˉ = 18.1, α\alphaα = 0.025 p-value = ____________________ Interpretation: ____________________

The p-value of a test is:

The probability of Type I error is referred to as the significance level of the test.

The z-test is the appropriate test statistic for any population distribution with a small sample size and an unknown population standard deviation.

A Type II error is defined as:

It has been claimed that no more than 3% of the units coming off an assembly line are defective.Formulate a null hypothesis and an alternative hypothesis for this situation. H0: ____________________ H1: ____________________

Tail graph -Using the above graph,choose the answers that indicate a left-tail test: Area 1: ____________________ Area 2: ____________________ Area 3: ____________________

Using the confidence interval when conducting a two-tail test for the population mean μ\muμ we do not reject the null hypothesis if the hypothesized value for μ\muμ :

For a sample of 36 items from a population for which the standard deviation α=12\alpha = 12α=12 the sample mean is 350.Use the 95% confidence interval to test the hypothesis H0: μ\muμ = 400 versus H1: μ≠\mu \neqμ= 400 at the α\alphaα = .05 level of significance.

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

Retail store A retail store claims that the average age of their customers is less than 40 years old.A sample of 50 customers had an average age of 38.7 years.Assume the population standard deviation is 12.5 years and use $\alpha$ = 0.05. -State the decision rule in terms of the critical value.

Use the given information to calculate the p-value and interpret the result: H₀: $\mu$ = 20,H₁: $\mu$ < 20 $\text { σ }$ = 8.1 ,n = 100, $\bar { x }$ = 18.1, $\alpha$ = 0.025 p-value = Interpretation:

It has been claimed that no more than 3% of the units coming off an assembly line are defective.Formulate a null hypothesis and an alternative hypothesis for this situation. H₀: H₁:

Tail graph -Using the above graph,choose the answers that indicate a left-tail test: Area 1: Area 2: Area 3:

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ we do not reject the null hypothesis if the hypothesized value for $\mu$ :

For a sample of 36 items from a population for which the standard deviation $\alpha = 12$ the sample mean is 350.Use the 95% confidence interval to test the hypothesis H₀: $\mu$ = 400 versus H₁: $\mu \neq$ 400 at the $\alpha$ = .05 level of significance.