According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively. a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Ho: - Select your answer - Ha: -Select your answer - b. Using the sample from the 56 bottles, what is the p-value? The p-value is - Select your answer - c. At a = 0.05, what is your conclusion? - Select your answer the null hypothesis. We - Select your answer conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. d. Repeat the preceding hypothesis test using the critical value approach. t is - Select your answer the critical value of (to 3 decimals),- Select your answer - the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating
System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less
expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores
throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.
a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean
price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population
mean of $32.48.
Ho:
- Select your answer -
Ha:
- Select your answer -
b. Using the sample from the 56 bottles, what is the p-value?
The p-value is - Select your answer -
c. At a = 0.05, what is your conclusion?
- Select your answer - the null hypothesis. We - Select your answer - conclude that the price in Providence for a bottle
of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
d. Repeat the preceding hypothesis test using the critical value approach.
t is - Select your answer -
the critical value of
(to 3 decimals), Select your answer the null hypothesis.
Transcribed Image Text:lomework Check My Work (2 remaining) According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively. a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Ho: - Select your answer - Ha: - Select your answer - b. Using the sample from the 56 bottles, what is the p-value? The p-value is - Select your answer - c. At a = 0.05, what is your conclusion? - Select your answer - the null hypothesis. We - Select your answer - conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. d. Repeat the preceding hypothesis test using the critical value approach. t is - Select your answer - the critical value of (to 3 decimals), Select your answer the null hypothesis.
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