An accountant of wallie's the pizza franchise claims that its stores generate average weekly revenues of at least $7,000 per store. a potential buyer who is considering purchasing a wallie's pizza franchise is doubtful about this claim, and believes instead that the average weekly revenue might be less than $7,000. with some effort, he obtains revenues from 20 wallie's stores across the country by interviewing their managers/employees and finds that the average revenue is $6400. historical tax filings by wallie's indicate that the standard deviation of revenues has been about $1042. store revenues are assumed to be normally distribute d. what is the calculated value of the statistic to test the potential buyer's belief at the 1% level of significance?

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

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of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.