The recommendations of respected wine critics have a substantial effect on the price of wine. Vintages that earn higher ratings command higher prices and spark surges in demand. These data are a random sample of ratings of wines selected from an online Web site from the 2000 and 2001 vintages. Complete parts (a) through (d). Click the icon to view the table of wine rating, price, and vintage. (a) Do the ratings meet the conditions needed for a two-sample confidence interval? A. Yes, all the conditions are satisfied. OB. No, the 2000 data contains outliers. OC. No, the variances are drastically different. O D. No, the 2001 data is too skewed. O E. No, the sampling procedure was not identified and it cannot be concluded that this is a simple random survey. (b) Find the 95% confidence interval for the difference in average ratings in these two vintages. Does one of the years look better than the other? The 95% confidence interval for #2000-2001 is (). (Round to one decimal place as needed.) Wine rating, price and vintage table. Rating 93 93 90 8 ខ 5 & & 8 5 ឌ ឌ ឌ 89 91 95 95 90 91 93 88 93 Price Vintage 130 2000 30 2000 45 2001 9 2000 33 2001 117 2000 125 2001 19 2001 17 2000 33 2000 15 2001 36 2000 0001 Rating 93 91 93 90 91 91 93 91 92 93 92 91 Price Vintage 72 2000 23 2001 40 2000 45 2000 50 2000 50 2000 29 2001 40 2000 42 2001 50 2001 50 2001 80 2000 00 0001 Full data seta
The recommendations of respected wine critics have a substantial effect on the price of wine. Vintages that earn higher ratings command higher prices and spark surges in demand. These data are a random sample of ratings of wines selected from an online Web site from the 2000 and 2001 vintages. Complete parts (a) through (d). Click the icon to view the table of wine rating, price, and vintage. (a) Do the ratings meet the conditions needed for a two-sample confidence interval? A. Yes, all the conditions are satisfied. OB. No, the 2000 data contains outliers. OC. No, the variances are drastically different. O D. No, the 2001 data is too skewed. O E. No, the sampling procedure was not identified and it cannot be concluded that this is a simple random survey. (b) Find the 95% confidence interval for the difference in average ratings in these two vintages. Does one of the years look better than the other? The 95% confidence interval for #2000-2001 is (). (Round to one decimal place as needed.) Wine rating, price and vintage table. Rating 93 93 90 8 ខ 5 & & 8 5 ឌ ឌ ឌ 89 91 95 95 90 91 93 88 93 Price Vintage 130 2000 30 2000 45 2001 9 2000 33 2001 117 2000 125 2001 19 2001 17 2000 33 2000 15 2001 36 2000 0001 Rating 93 91 93 90 91 91 93 91 92 93 92 91 Price Vintage 72 2000 23 2001 40 2000 45 2000 50 2000 50 2000 29 2001 40 2000 42 2001 50 2001 50 2001 80 2000 00 0001 Full data seta
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Transcribed Image Text:The recommendations of respected wine critics have a substantial effect on the price of wine. Vintages that earn higher ratings command higher prices and spark surges in demand. These data are a random sample of ratings of wines
selected from an online Web site from the 2000 and 2001 vintages. Complete parts (a) through (d).
Click the icon to view the table of wine rating, price, and vintage.
(a) Do the ratings meet the conditions needed for a two-sample confidence interval?
.……..
A. Yes, all the conditions are satisfied.
B. No, the 2000 data contains outliers.
C. No, the variances are drastically different.
D. No, the 2001 data is too skewed.
E. No, the sampling procedure was not identified and it cannot be concluded that this is a simple random survey.
(b) Find the 95% confidence interval for the difference in average ratings in these two vintages. Does one of the years look better than the other?
The 95% confidence interval for 2000 - 2001 is ().
(Round to one decimal place as needed.)
Wine rating, price and vintage table.
Rating
93
93
90
89
91
95
95
90
91
93
88
93
91
Price Vintage
130 2000
30 2000
45 2001
9 2000
33 2001
117 2000
125 2001
19 2001
17 2000
33
2000
15 2001
36
2000
85 2001
Rating
93
91
93
90
91
91
93
91
92
93
92
91
92
Price Vintage
72 2000
23 2001
40 2000
45 2000
50 2000
50 2000
29 2001
40 2000
42 2001
50
2001
50
2001
80 2000
23 2001
Full data set
Transcribed Image Text:(c) Suggest one or two possible sources of confounding that might distort the confidence interval reported in part b.
Select all that apply.
A. The numerical scale used to rate the wine.
B. The type of grape used.
C. The region where the wine comes from.
D. The number of bottles of the vintage produced.
(d) Given a choice between a 2000 and 2001 vintage at the same price, which would you choose? Does it matter?
A. There is a statistically significant between the two. Always choose the 2000 vintage.
B. It is not statistically significant but on average the 2001 vintage scores slightly higher than the 2000 vintage.
C. There is a statistically significant difference between the two. Always choose the 2001 vintage.
D. It is not statistically significant but on average the 2000 vintage scores slightly higher than the 2001 vintage.
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VIEWStep 3: Calculate the 95% confidence interval for the difference in average rating in these two vintage.
VIEWStep 4: Suggest one or two sources of confounding that might discomfort C.I reported in (b)
VIEWStep 5: Determine which you choose when 2000 and 2001 vintage at same price.
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