(1 point) The Get It at the Grove Company sells its orange juice in 1.89 liter c
ID: 3341210 • Letter: #
Question
(1 point) The Get It at the Grove Company sells its orange juice in 1.89 liter cartons. A random sample of 12 cartons gives the following results (in liters) 1.73 2 2.03 2.62 1.83 1.69 1.92 2.17 1.53 1.95 1.79 (a) What is the population in this sample? O A. The size of orange juice cartions O B. The size of cartons made by Get it in the Grove O C. The amount of juice in cartons of orange juice D. The amount of juice in cartons of Get it in the Groves Orange Juice (b) What assumption is required to make inferences about the population mean from this data? O A. that it is normal O B. that it is independent O C. that it is discrete D. that it is continuous (c) Will the data follow a normal distribution??+ Report the P-value of the normality test (d) Construct a 98% confidence interval estimate of the true mean volume in Get It at the Grove orange juice cartons ii(Input answers to four decimal places) (e) Does your interval suggest the carton label of 1.89 L is inaccurate?Explanation / Answer
A) Option-D
B) Option-A
C) yes the data follow a normal distribution.
Sample Mean = 1.88
Sample Standard deviation = 0.31
The test statistic is
t = (1.88 - 1.89)/(0.31/sqrt (12))
= -0.11
P-VALUE = P(T < -0.11)
= 0.4572
D) At 98% confidence interval the critical value t* = 2.718
Cinfidence interval = mean +/- t* * SD/sqr(n)
= 1.88 +/- 2.718 * 0.31/sqrt(12)
= 1.88 +/- 0.24
= 1.64, 2.12
No the interval doesn't suggest the cartoon label of 1.89 is inaccurate
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