Use the following information to answer Questions 25-27 The number of cups of co
ID: 3321370 • Letter: U
Question
Use the following information to answer Questions 25-27 The number of cups of coffe consumed by adults during weekends was recorded for a randomly selected collection of households, with the following results: 2, 5, 2, 3, 1, 1, 4, 1,4, 3 a 5, 4, 5, 2, 5, 2, 2, 4, 2,3 34 112 Cupstotae 1,2, 2, 2, 3, 1, 5, 5,1,5 27 1,2, 3, 3, 4, 3, 3, 4, 1,1 as Which of the following is the mean and standard deviation of the number of cups of coffee consumed in the randomly selected households? 3. a. x=2.8, s = 1.40 b -= 2.75, s = 1.42 c. x = 2.75, s-1.40 d' -= 2.8, s-1.42 e.- 2.775, s = 1.41 4. Construct a 99% confidence interval for the average number of cups of coffee consumed by all adults during weekends. a. [2.23, 3.37] b. [2.22, 3.38] c. [2.28, 3.32] d. [2.36, 3.24] e. [2.32, 3.28]Explanation / Answer
sOLUTION3:
OPTIOND
MEAN=XBAR=2.8 SD=S=1.42
SOlution4:
n=40
n-1=39
alpha=1-0.99=0.01
alpha/2=0.01/2=0.005
t crit=2.7079
lower limit=sample mean-tcrit(samplesd/sqrt(n)
=2.8-2.7079(1.42/sqrt(40)
=2.19
upper limit=2.8+2.7079(1.42/sqrt(40)
=3.41
OPTIONB
X XBAR X-XBAR (X-XBAR)^2 2 2.8 -0.8 0.64 5 2.8 2.2 4.84 2 2.8 -0.8 0.64 3 2.8 0.2 0.04 1 2.8 -1.8 3.24 1 2.8 -1.8 3.24 4 2.8 1.2 1.44 1 2.8 -1.8 3.24 4 2.8 1.2 1.44 3 2.8 0.2 0.04 5 2.8 2.2 4.84 4 2.8 1.2 1.44 5 2.8 2.2 4.84 2 2.8 -0.8 0.64 5 2.8 2.2 4.84 2 2.8 -0.8 0.64 2 2.8 -0.8 0.64 4 2.8 1.2 1.44 2 2.8 -0.8 0.64 3 2.8 0.2 0.04 1 2.8 -1.8 3.24 2 2.8 -0.8 0.64 2 2.8 -0.8 0.64 2 2.8 -0.8 0.64 3 2.8 0.2 0.04 1 2.8 -1.8 3.24 5 2.8 2.2 4.84 5 2.8 2.2 4.84 1 2.8 -1.8 3.24 5 2.8 2.2 4.84 1 2.8 -1.8 3.24 2 2.8 -0.8 0.64 3 2.8 0.2 0.04 3 2.8 0.2 0.04 4 2.8 1.2 1.44 3 2.8 0.2 0.04 3 2.8 0.2 0.04 4 2.8 1.2 1.44 1 2.8 -1.8 3.24 1 2.8 -1.8 3.24 =112/40 MEAN 78.4 2.8'---=MEAN SD=SQRT(78.4/40-1) 1.418