1.In order to construct the interval estimate for population mean, we should app
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Question
1.In order to construct the interval estimate for population mean, we should apply t-distribution with sample mean and sample standard deviation when
population standard deviation is unknown.
population mean is unknown.
sample size is greater than 30.
population is normally distributed.
2. Which of the following is NOT a limitation to apply the Chebyshev’s theorem?
We have to know the probability distribution for the population.
The range for probability estimation should be symmetric to the sample mean.
The Z-scores must be greater than 1.
The estimation only provides the minimum probability for observations falling within a range .
3. A set of data yields a sample mean and standard deviation of 24 and 3, respectively. Applying the Chebyshev’s theorem, the probability that an observation falls between 15 and 33 will be at least
0.50
0.68
0.75
0.89
population standard deviation is unknown.
population mean is unknown.
sample size is greater than 30.
population is normally distributed.
Explanation / Answer
1)population standard deviation is unknown.
2) We have to know the probability distribution for the population.
3) as 15 and 33 falls 3 std deviation from mean,
hence probability =1-1/32 =0.89
therefore option 0.89 is correct
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