Obtain a normal probabilityplot, boxplot,histogram, andstem-and-leaf diagram of the data.Choose the correct normal probability plot below.

A.

030-33Depth(cm)NormalscoreA normal probability plot has a horizontal axis labeled Depth in centimeters from 0 to 30 in increments of 5 and a vertical axis labeled Normal score from negative 3 to 3 to in increments of 1. A series of plotted points is randomly distributed between horizontal coordinates 6 and 21 and vertical coordinates negative 2.3 and 2.3. All coordinates are approximate.

B.

030-33Depth(cm)NormalscoreA normal probability plot has a horizontal axis labeled Depth in centimeters from 0 to 30 in increments of 5 and a vertical axis labeled Normal score from negative 3 to 3 to in increments of 1. A series of plotted points tightly forms a line that falls from left to right passing through the points (11, 1.5) and (19, negative 1.9). All coordinates are approximate.

C.

030-33Depth(cm)NormalscoreA normal probability plot has a horizontal axis labeled Depth in centimeters from 0 to 30 in increments of 5 and a vertical axis labeled Normal score from negative 3 to 3 to in increments of 1. A series of plotted points tightly forms a line that rises from left to right passing through the points (10, negative 1.9) and (19, 1.5). All coordinates are approximate.

D.

030-33Depth(cm)NormalscoreA normal probability plot has a horizontal axis labeled Depth in centimeters from 0 to 30 in increments of 5 and a vertical axis labeled Normal score from negative 3 to 3 to in increments of 1. A series of plotted points tightly forms a curve that rises from left to right at a decreasing rate passing through the points (9, negative 2.1) and (12, negative 0.1) to (15, 0), and then rises from left to right at an increasing rate passing through the points (17, 0.1) and (19, 0.7). All coordinates are approximate.Choose the correct boxplot below.

A.

510152025Depth(cm)A boxplot has a horizontal axis labeled Depth in centimeters from 5 to 25 in increments of 5. The boxplot has the following five-number summary: 9, 13, 15, 17, 19. All values are approximate.

B.

510152025Depth(cm)A boxplot has a horizontal axis labeled Depth in centimeters from 5 to 25 in increments of 5. The boxplot has the following five-number summary: 10, 13, 15, 17, 20. All values are approximate.

C.

510152025Depth(cm)A boxplot has a horizontal axis labeled Depth in centimeters from 5 to 25 in increments of 5. The boxplot has the following five-number summary: 9, 11, 15, 17, 19. All values are approximate.

D.

510152025Depth(cm)A boxplot has a horizontal axis labeled Depth in centimeters from 5 to 25 in increments of 5. Vertical line segments are drawn at the following values: 13, 15, 17. A box encloses the vertical line segments. All values are approximate.Choose the correct histogram below.

A.

612182405101520Depth(cm)RelativefrequencyA histogram has a horizontal axis labeled Depth in centimeters from 3 to 25 in increments of 2 and a vertical axis labeled Frequency from 0 to 20 in increments of 5. The histogram has vertical bars of width 2 starting at the horizontal axis value 8. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 8 comma 2; 10, 3; 12, 12; 14, 15; 16, 13; 18, 6.

B.

0510152025051015202530Depth(cm)RelativefrequencyA histogram has a horizontal axis labeled Depth in centimeters from 0 to 25 in increments of 5 and a vertical axis labeled Frequency from 0 to 30 in increments of 5. The histogram has vertical bars of width 5 starting at the horizontal axis value 5. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 5, 2; 10, 22; 15, 27.

C.

06121805101520Depth(cm)RelativefrequencyA histogram has a horizontal axis labeled Depth in centimeters from 0 to 20 in increments of 2 and a vertical axis labeled Frequency from 0 to 20 in increments of 5. The histogram has vertical bars of width 2 starting at the horizontal axis value 4. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 4, 6; 6, 13; 8, 15; 10, 12; 12, 3; 14, 2.

D.

061218240510Depth(cm)RelativefrequencyA histogram has a horizontal axis labeled Depth in centimeters from 0 to 24 in increments of 2 and a vertical axis labeled Frequency from 0 to 10 in increments of 5. The histogram has vertical bars of width 2 starting at the horizontal axis value 0. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 0, 4; 2, 4; 4, 4; 6, 4; 8, 4; 10, 5; 12, 5; 14, 5; 16, 4; 18, 4; 20, 4; 22, 4.Choose the correctstem-and-leaf diagram below.

A.

8239227810122681113445777121223567713116667914256771512234671614717187197

B.

8899777810777771166677777124555666613333344414222221511222221611117181191

C.

8191101111112112222213222221433334441545556666166667777717777771877781989

D.

8797101114712122346713256771411666791512235677161344577717122681822781923b. Based on your results from part(a), can you reasonably apply thet-interval procedure to thedata? Explain your reasoning. Select all that apply.

A.

The normal probability plot is not approximatelylinear, so the normality assumption is not satisfied.

B.

The histogram shows potentialoutliers, so it is not appropriate to apply thet-interval procedure.

C.

The sample size is large enough that thet-interval procedure will be robust to moderate violations of the normality assumption.

D.

The boxplot shows potentialoutliers, so it is not appropriate to apply thet-interval procedure.

E.

The normal probability plot is approximatelylinear, and theboxplot, histogram, and stemplot do not show any outliers. The assumptions are satisfied.c. Find and interpret a 9999%confidence interval for the mean depth of all subterranean rodent burrows.The 9999%confidence interval for muis from nothingto nothing.(Round to three decimal places asneeded.)Interpret the confidence interval. Choose the correct answer below and fill in the answer boxes to complete your choice.(Round to three decimal places asneeded.)

A.

We can be 9999%confident that the mean depth of all subterranean rodent burrows is somewhere between nothingcm and nothingcm.

B.

9999%of all subterranean rodent burrows have a depth somewhere between nothingcm and nothingcm.

Click to select your answer(s).