Question

consider the following Minitab

8. (8 points) Descriptive Statistics Consider the following Minitab output shown below. Descriptive Statistics: density Statistics Variable NN" Mean SE Mean StDev Minimum Q1 Median Q3 Maximum density 8 3 51.5 38.2 6.0 18.2 45.7 91.3 96.4 13.5 (a) (2 points) How many missing observations were in the data set. Enter your answer in Akindi line 19. A. 8 B. 3 C. 14 D. 6 E. Correct answer is not provided (b) (2 points) What is the value of density, Idensity, such that P(X > I density) = 0.5? Enter your answer in Akindi line 20. A. 18.2 B. 45.7 C. 91.3 D. 96.4 E. Correct answer is not provided

Answer 1

We have given a Minitab output,

(a)

In Minitab output of Descriptive Statistics , N* shoes the number of missing observation.

Ans. B. 3

(b)

We have given that P(X > x_{​​​​​​density}) = 0.5

This probability is 0.5 means half of the observations are one side of x_{​​​​density} which means it must be Median and value of median is 45.7

Ans. B. 45.7

(c)

estimate for population mean is sample mean i.e $\hat{\mu} = \bar {X}$

Here value of sample means is $\bar {X}= 51.5$

Ans. A. 51.5