2. Collette is self-employed, selling items at Home Interior parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 clients' receipts gave a sample mean of $34.70 and historically we know the population standard deviation of spending at these parties to be $4.85. a. Explain why you may assume your data is normally distributed. b. Find a 90% confidence interval for the average amount expected to be spent by a given client at a party. c. Write a brief explanation of the meaning of the confidence interval in the context of this problem

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
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2. Collette is self-employed, selling items at Home Interior parties. She wants to estimate
the average amount a client spends at each party. A random sample of 35 clients' receipts
gave a sample mean of $34.70 and historically we know the population standard
deviation of spending at these parties to be $4.85.
a. Explain why you may assume your data is normally distributed.
b. Find a 90% confidence interval for the average amount expected to be spent by a
given client at a party.
c. Write a brief explanation of the meaning of the confidence interval in the context
of this problem
d. For a party with 35 clients, use part (b) to estimate a range of dollar values for
Collette's total sales at that party.
Vou ara conducting a curvey ofthe total eradit houre etudents take each semaster otSurry
WE N
25
MacBook Air
esc
30
F3
888
F4
FS
%23
%24
4.
&
3.
8.
W
R.
tab
Y.
Transcribed Image Text:TextEdit File Edit Format View Window Help E Confidence Intervals Assignment (2).rtf v 1v Helvetica C Regular E 12 v BIV ED 1.0 :E 2. Collette is self-employed, selling items at Home Interior parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 clients' receipts gave a sample mean of $34.70 and historically we know the population standard deviation of spending at these parties to be $4.85. a. Explain why you may assume your data is normally distributed. b. Find a 90% confidence interval for the average amount expected to be spent by a given client at a party. c. Write a brief explanation of the meaning of the confidence interval in the context of this problem d. For a party with 35 clients, use part (b) to estimate a range of dollar values for Collette's total sales at that party. Vou ara conducting a curvey ofthe total eradit houre etudents take each semaster otSurry WE N 25 MacBook Air esc 30 F3 888 F4 FS %23 %24 4. & 3. 8. W R. tab Y.
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