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A consumer group is interested in estimating the true mpg of a car model by asking...

A consumer group is interested in estimating the true mpg of a car model by asking 10 owners of that model. Below are the summary statistics of the data and output from the analysis testing if the true average mpg of the car model is the one claimed by the car manufacturer at 25mpg. What is the correct calculation to estimate the true average average mpg of this car model with a 99% confidence interval?

min        Q1      median    Q3       max      mean     sd n     missing

21.52 21.8 21.93 22.32 22.47 22         1.5 10 0

t = -6.324555, df = 9, p-value = 6.846828e-05

alternative hypothesis: true mean is not equal to 25

99 percent confidence interval:

XXXXXXX XXXXXXX

  1. 22 +- 3.2498 x 1.5/sqrt(10)
  2. 22 +- 6.3245 x 1.5/sqrt(9)
  3. 22 +- 6.3245 x 1.5
  4. 21.93 +- 2.8214 x 1.5/sqrt(10)
  5. 21.93 +- 3.2498 x 1.5/sqrt(9)

Suppose someone runs a paired t-test, which yields a p-value of 0.03 when testing the following hypotheses H0: m_d = 0 vs HA: m_d != 0. Which of the following would be plausible 95% confidence interval for m_d?

a. Not enough information to determine

b. (1.3, 3.4)

c. (-3.4, 1.3)

d. (-1.3, 3.4)

math   Statistics-And-Probability   
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