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According to the Vivino website, suppose 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 61 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. (Enter != for ≠ as needed.) H0:       Ha:       (b) Using the sample from the 61 bottles, what is the test statistic? (Round your answer to three decimal places.)   Using the sample from the 61 bottles, what is the p-value? (Round your answer to four decimal places.) p-value =  (c)   (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0:       Ha:       Find the value of the test statistic. (Round your answer to three decimal places.)   State the critical values for the rejection rule. Use  ? = 0.05.  (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)   test statistic≤   test statistic≥

According to the Vivino website, suppose 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 61 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. (Enter != for ≠ as needed.) H0:       Ha:       (b) Using the sample from the 61 bottles, what is the test statistic? (Round your answer to three decimal places.)   Using the sample from the 61 bottles, what is the p-value? (Round your answer to four decimal places.) p-value =  (c)   (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0:       Ha:       Find the value of the test statistic. (Round your answer to three decimal places.)   State the critical values for the rejection rule. Use  ? = 0.05.  (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)   test statistic≤   test statistic≥

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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According to the Vivino website, suppose 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 61 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. (Enter != for ≠ as needed.)
H0:
 
 
 
Ha:
 
 
 
(b)
Using the sample from the 61 bottles, what is the test statistic? (Round your answer to three decimal places.)
 
Using the sample from the 61 bottles, what is the p-value? (Round your answer to four decimal places.)
p-value = 
(c)
 
(d)
Repeat the preceding hypothesis test using the critical value approach.
State the null and alternative hypotheses. (Enter != for ≠ as needed.)
H0:
 
 
 
Ha:
 
 
 
Find the value of the test statistic. (Round your answer to three decimal places.)
 
State the critical values for the rejection rule. Use 
? = 0.05.
 (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)
 
test statistic≤
 
test statistic≥
 
 
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