Problem 1:Random Number TableAnswer Questions 1 -6(= 1a - 1f)10 points total

Problem 1Random Number Table Information:A firm has 250 employees. Five of the employees will be selected at random toattend an industry-wide convention. Use this information to answer the next six questions a-f.

Problem 1 a - Random Sample Steps:Referencing the information given for the250employee firm above,list the stepsinvolved for using the Random Number Table to obtain arandom sampleof five employees. (Be specific to the given population and sample size of this problem.)

Problem 1 b -Random Sample:

Referencing the previous question and information provided, the numbered population list wouldrangebetween.

Thenumber of digitsto be read from each number grouping in the Random Number Table is.

Problem 1 c -Randomly Selected Sample Values:

Use the Random Number Table to obtain a random sample of 5 employees. Start at thetopright cornerof the table andreaddown the right columnuntilthe sample size of 5 employees is complete. Enter the 5 employees who will comprise the sample into the following answer boxes:

Employees:#1_____________, #2__________________ , #3__________________,

#4_________________, #5___________________________.

Problem 1 Information:A firm has 250 employees. Five of the employees will be selected at random toattend an industry-wide convention. Use this information to answer questionsa-f.

Problem 1 d -Systematic Sample Steps:Referencing the above information for the250employee firm,list the stepsinvolved in using the Random Number Table to obtain asystematicsample. (Be specific to this exam problem.)

Problem 1 e -Systematic Sample:

Referencing your answer to the previous question,this problem's computednthvaluefor thesystematic sampleisth

Therangefor the first number to be read from the Random Number Table to start the systematic sample is.

Problem 1f -Systematically Selected Sample Values:

Use the Random Number Table to obtain asystematic sampleof 5 employees. Start at thetop right cornerof the table andread down the right columnto determine the first employee for inclusion in the systematic sample.Enter the 5 employees who will be included in the systematic sample into the following answer boxes:

Employees:#1_____, #2_____________, #3__________,

#4__________, #5_______________.

Problem 2:Hypothesis TestingAnswer Questions7 -13(= 2a - 2g)15 points total

Problem 2 Hypothesis Test Information:A marketing research firm wants to test a claim that the average income in a particular cityis$40,000 ( )with a$5,000 standard deviation (

).To test this claim, the research firmsampled100 ( n )city residents and calculated a mean income of$36,500 (x-bar).Perform a hypothesis test at the2% significance level(= 98% confidence level).(Use this information to answer the next 7 questions a - g.)

Problem 2 a -Hypothesis TestSampling Distribution:Based on the information provided above, what is the correctsampling distributionto use in this hypothesis test?(Choose answer from choices provided below.)

Group of answer choices

a. binomial distribution

b. Poisson distribution

c. z-distribution

d. t-distribution

Problem 2 b -Hypothesis TestNull and Alternative Hypotheses:

Referencing the information provided above the previous question, state the null(

0

)

(H0)and alternative(

1

)

(H1)hypotheses for this hypothesis test in the respective answer boxes shown below.(Note: You can type Mu, x-bar, or "not equal to" as words rather than using the statistical symbols.)

H0:

H1:

Problem 2 c -HypothesisTest Critical Values:

Referenceyour answers to the previous questionsin this problem. Insert the numerical values into the formula shown below for the computation of the critical valuesfor the hypothesis test.

$_______________________________ ($ ______________________________________ SQRT ____________).

(Where SQRT = square root.)

Formulas:

Meanz(

n)orMeant(s

n);

degrees of freedom (d.f.) =n - 1