A national firm reports mean earnings of \muμ = $75 (\sigmaσ = $12) per unit sold over the lifetime of the company. A competing company over the past n = 36 reporting periods had reported earnings of M = $78 per unit sold. Conduct a one-sample z test to determine whether mean earnings [in dollars per unit] for the competing company are larger compared to that reported by the national firm, using an \alphaα = .05 level of significance, two-tailed. NOTE: For our purposes we will use a two-tailed test. Also, we are going to go through the 4 steps of hypothesis testing before calculating Cohen's d. Follow the prompts. 23a. Step 1: State the Hypotheses. Choose the correct hypothesis set for a two-tailed test, α = .05. a. H0: μ = 78 and H1: μ ≠ 78 b. H0: μ = 12 and H1: μ ≠ 12 c. H0: μ = 75 and H1: μ ≠ 75 d. H0: μ = 36 and H1: μ ≠ 36 23b. Step 2: What are the critical values for this test? z-crit = +/- 1.645 z-crit = +/- 1.96 z-crit = +/- 2.584 t-crit = +/- 3.30 23c. Step 3: Characteristics of the sampling distribution: What is the mean? (whole number) μM = 23d. Characteristics of the sampling distribution: What is the standard error? (whole number) σM = 23e. Step 3: Calculate the z statistic. Use 1 decimal place (X.X). z = 23f. Step 4: Make a decision. a. Reject H0 b. Retain H0 23g. Did we find that mean earnings for the competing company were larger compared to that reported by the national firm? a. Yes b. No 23h. Calculate the effect size. Calculate Cohen's d on the same paper as before. Show both the numerator and denominator as well as the final answer. Circle your final answer. Use 2 decimal places. (.XX) d =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A national firm reports mean earnings of \muμ = $75 (\sigmaσ = $12) per unit sold over the lifetime of the company. A competing company over the past n = 36 reporting periods had reported earnings of M = $78 per unit sold. Conduct a one-sample z test to determine whether mean earnings [in dollars per unit] for the competing company are larger compared to that reported by the national firm, using an \alphaα = .05 level of significance, two-tailed. NOTE: For our purposes we will use a two-tailed test. Also, we are going to go through the 4 steps of hypothesis testing before calculating Cohen's d. Follow the prompts.

23a. Step 1: State the Hypotheses. Choose the correct hypothesis set for a two-tailed test, α = .05.

a. H0: μ = 78 and H1: μ ≠ 78

b. H0: μ = 12 and H1: μ ≠ 12

c. H0: μ = 75 and H1: μ ≠ 75

d. H0: μ = 36 and H1: μ ≠ 36

23b. Step 2: What are the critical values for this test?

z-crit = +/- 1.645

z-crit = +/- 1.96

z-crit = +/- 2.584

t-crit = +/- 3.30

23c. Step 3: Characteristics of the sampling distribution: What is the mean? (whole number)

μM =

23d. Characteristics of the sampling distribution: What is the standard error? (whole number)

σM =

23e. Step 3: Calculate the z statistic. Use 1 decimal place (X.X).

z =

23f. Step 4: Make a decision.

a. Reject H0

b. Retain H0

23g. Did we find that mean earnings for the competing company were larger compared to that reported by the national firm?

a. Yes

b. No

23h. Calculate the effect size. Calculate Cohen's d on the same paper as before. Show both the numerator and denominator as well as the final answer. Circle your final answer. Use 2 decimal places. (.XX)

d =

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