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
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