11. A 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce soda bottle is approximately normal. A curious student randomly selects fifteen 20-ounce soda bottles from various retailers and carefully measures their content to see if the soda company is cheating the customers. The mean and standard deviation of the fifteen bottles is 19.4 ounces and 0.25 ounces, respectively. Which of the following is the test statistic for the appropriate test to determine if the average amount of soda that is contained in their 20-ounce soda bottles is significantly less than 2o-ounces?

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11. A 20-ounce soda bottle is supposed to contain 20 ounces of soda. The
distribution of the actual amount of soda in a 20-ounce soda bottle is
approximately normal. A curious student randomly selects fifteen 20-ounce
soda bottles from various retailers and carefully measures their content to see if
the soda company is cheating the customers. The mean and standard deviation
of the fifteen bottles is 19,4 ounces and 0.25 ounces, respectively.
Which of the following is the test statistic for the appropriate test to determine if the
average amount of soda that is contained in their 20-ounce soda bottles is significantly
less than 20-ounces?
(A) t =
19.4-20
0.25
19.4-20
(B) z =
(0.25)(1-0.25)
15
20-19.4
(C) t =
V(0.25)(1–0.25)
(D) z =
20-19.4
0.25
19.4-20
(E) z =
V(0.25) (0.75)( 15 + 20)
Transcribed Image Text:11. A 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce soda bottle is approximately normal. A curious student randomly selects fifteen 20-ounce soda bottles from various retailers and carefully measures their content to see if the soda company is cheating the customers. The mean and standard deviation of the fifteen bottles is 19,4 ounces and 0.25 ounces, respectively. Which of the following is the test statistic for the appropriate test to determine if the average amount of soda that is contained in their 20-ounce soda bottles is significantly less than 20-ounces? (A) t = 19.4-20 0.25 19.4-20 (B) z = (0.25)(1-0.25) 15 20-19.4 (C) t = V(0.25)(1–0.25) (D) z = 20-19.4 0.25 19.4-20 (E) z = V(0.25) (0.75)( 15 + 20)
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