Consider the demand for Fresh Detergent in a future sales period when Enterprise Industries' price for Fresh will be x₁ = 3.80, the average price of competitors' similar detergents will be x2 = 4.09, and Enterprise Industries' advertising expenditure for Fresh will be x3 = 7.00. A 95 percent prediction interval for this demand is given on the following JMP output: 31 Predicted Demand 8.1673257931 Lower 95% Mean Demand 7.7348475303 Upper 95% Mean Demand 8.5998040558 StdErr Indiv Demand .2103975037 Lower 95% Indiv Demand 6.6317212018 Upper 95% Indiv Demand 9.7029303843 (a) Find and report the 95 percent prediction interval on the output. If Enterprise Industries plans to have in inventory the number of bottles implied by the upper limit of this interval, it can be very confident that it will have enough bottles to meet demand for Fresh in the future sales period. How many bottles is this? If we multiply the number of bottles implied by the lower limit of the prediction interval by the price of Fresh ($3.80), we can be very confident that the resulting dollar amount will be the minimum revenue from Fresh in the future sales period. What is this dollar amount? (Round 95% PI to 4 decimal places and dollar amount and Level of inventory needed to the nearest whole number.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider the demand for Fresh Detergent in a future sales period when Enterprise Industries' price for Fresh will be x₁ = 3.80, the
average price of competitors' similar detergents will be x2 = 4.09, and Enterprise Industries' advertising expenditure for Fresh will be
x3 = 7.00. A 95 percent prediction interval for this demand is given on the following JMP output:
31
Predicted
Demand
8.1673257931
95% PI [
Level of inventory needed =
Lower dollar amount =
Lower 95% Mean
Demand
7.7348475303
99% PI[
Upper 95% Mean
Demand
8.5998040558
StdErr Indiv
Demand
.2103975037
(a) Find and report the 95 percent prediction interval on the output. If Enterprise Industries plans to have in inventory the number of
bottles implied by the upper limit of this interval, it can be very confident that it will have enough bottles to meet demand for Fresh in
the future sales period. How many bottles is this? If we multiply the number of bottles implied by the lower limit of the prediction
interval by the price of Fresh ($3.80), we can be very confident that the resulting dollar amount will be the minimum revenue from
Fresh in the future sales period. What is this dollar amount? (Round 95% Pl to 4 decimal places and dollar amount and Level of
inventory needed to the nearest whole number.)
bottles.
Lower 95% Indiv
Demand
6.6317212018
Upper 95% Indiv
Demand
9.7029303843
(b) Calculate a 99 percent prediction interval for the demand for Fresh in the future sales period. Hint: n = 30 and s= 0.717. Optional
technical note needed. The distance value equals Leverage. (Round your answers to 4 decimal places.)
Transcribed Image Text:Consider the demand for Fresh Detergent in a future sales period when Enterprise Industries' price for Fresh will be x₁ = 3.80, the average price of competitors' similar detergents will be x2 = 4.09, and Enterprise Industries' advertising expenditure for Fresh will be x3 = 7.00. A 95 percent prediction interval for this demand is given on the following JMP output: 31 Predicted Demand 8.1673257931 95% PI [ Level of inventory needed = Lower dollar amount = Lower 95% Mean Demand 7.7348475303 99% PI[ Upper 95% Mean Demand 8.5998040558 StdErr Indiv Demand .2103975037 (a) Find and report the 95 percent prediction interval on the output. If Enterprise Industries plans to have in inventory the number of bottles implied by the upper limit of this interval, it can be very confident that it will have enough bottles to meet demand for Fresh in the future sales period. How many bottles is this? If we multiply the number of bottles implied by the lower limit of the prediction interval by the price of Fresh ($3.80), we can be very confident that the resulting dollar amount will be the minimum revenue from Fresh in the future sales period. What is this dollar amount? (Round 95% Pl to 4 decimal places and dollar amount and Level of inventory needed to the nearest whole number.) bottles. Lower 95% Indiv Demand 6.6317212018 Upper 95% Indiv Demand 9.7029303843 (b) Calculate a 99 percent prediction interval for the demand for Fresh in the future sales period. Hint: n = 30 and s= 0.717. Optional technical note needed. The distance value equals Leverage. (Round your answers to 4 decimal places.)
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