The calculated value of the Z statistic to test the potential buyer's belief at the 1% significant level is -2.57512627.
The calculated Z score is slightly greater than the critical value of -2.575, the potential buyer's view that weekly store revenues are less than $7,000 stands vindicated.
Since store revenues are assumed to be normally distributed and population standard deviation is given, we can use the Z-test. The relevant test statistic is the Z-score.
We use the following formula for calculating the Z score:
Z = (X - μ) / (σ /√n)
Substituting the relevant values we get,
Z = (6400 -7000) / (1042/√20)
Z = -600 / 232.9982833
Z = -2.57512627
Answer:
Explanation:
Net Income = 20m
Sales = 100m
Debt-equity ration = 40%
Asset turnover = 0.60
A)
Profit Margin = Net Income / Sales = $20 million / $100 million = 20%
Equity Multiplier = 1 + Debt-Equity Ratio = 1 + 0.40 = 1.40
Return on Equity = Profit Margin * Asset Turnover * Equity Multiplier = 20% * 0.60 * 1.40 = 16.80%
B)
Debt-equity ratio = 60%
Equity Multiplier = 1 + Debt-Equity Ratio = 1 + 0.60 = 1.60
Return on Equity = Profit Margin * Asset Turnover * Equity Multiplier = 20% * 0.60 * 1.60 = 19.20%
As calculations provide, if debt-equity ratio increases to 60%, Return on equity will increase by 2.40% (19.20% - 16.80%)
Answer
The answer and procedures of the exercise are attached in the following archives.
Explanation
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.