Estimating Total Sales at a Home Party

AI Thread Summary
Janet is estimating the average spending of clients at her cookware home parties using a sample of 35 receipts, which yielded a mean of $34.70 and a standard deviation of $4.85. A 90% confidence interval for the average amount spent is calculated as 33.32 < X < 36.09. Part (b) requires estimating the total sales for a party with 35 clients, which involves multiplying the average spending by the number of clients. This results in a total sales range of approximately $1,166.20 to $1,262.15. Understanding the distinction between average spending and total sales is crucial for accurate calculations.
ChrisBlack
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Homework Statement


Janet sells cookware at home parties, she wants to estimate the average amount a client spends at each party. A random sample of 35 receipts gave a mean of X bar = $34.70 with standard deviation s = %4.85.

a) find a 90% confidence interval for the average amount spent by all clients.

b) for a party with 35 clients, use part (a) to estimate a range of dollar values for Janet's total sales at that party.


Homework Equations





The Attempt at a Solution



I found the 90% confidence interval with no problem and got 33.32 < X bar < 36.09 but I don't understand what part (b) is asking, it seems to me that it is asking the same exact thing that (a) was
 
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ChrisBlack said:

Homework Statement


Janet sells cookware at home parties, she wants to estimate the average amount a client spends at each party. A random sample of 35 receipts gave a mean of X bar = $34.70 with standard deviation s = %4.85.

a) find a 90% confidence interval for the average amount spent by all clients.

b) for a party with 35 clients, use part (a) to estimate a range of dollar values for Janet's total sales at that party.


Homework Equations





The Attempt at a Solution



I found the 90% confidence interval with no problem and got 33.32 < X bar < 36.09 but I don't understand what part (b) is asking, it seems to me that it is asking the same exact thing that (a) was
(a) is asking about the average value, while (b) is asking for a total amount from 35 clients.
 
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