A simple random sample of size 41 is obtained from a population that is skewed lot with u = 71 and 0 - 5. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of in
Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why?
OA. No. The central limit theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of become approximately normal as the sample size, n, increases.
OB. Yes. The central limit theorem states that only for underlying populations that are normal is the shape of the samping distribution of normal, regardless of the sample size, n.
OC. Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases.
OD. No. The central imet theorem states that regardless of the shape of the underlying population, the sampling distribution of becomes approximately normal as the sample size, n, increases
What is the sampling distribution of Select the correct choice below and fill in the answer boxes within your choice
(Type Integers or decimals rounded to three decimal places as needed.)
OA The sampling distribution of x is skewed left with and o- "
OB. The sampling distribution of is approximately normal with and :-)
OC. The sampling distribution of is uniform with ;-and-
OD. The shape of the sampling distribution of x is unknown with ; - and o: -

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step-by-step explanation:

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

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step-by-step explanation: