1085	1159	1215	1272	1349
1101	1162	1221	1273	1361
1102	1184	1223	1283	1364
1118	1194	1223	1288	1372
1130	1201	1240	1290	1407
1133	1204	1240	1291	1419
1135	1210	1249	1311	1435
1144	1214	1255	1322

(a) Draw a normal probability plot to determine if the data could have come from a normal distribution.

Choose the correct plot below.

A.

100013001600-2.502.5ObservedvalueExpectedz-score

A coordinate system has a horizontal axis labeled Observed value from 1000 to 1600 in increments of 50 and a vertical axis labeled Expected z-score from negative 2.5 to 2.5 in increments of 0.5. There are 40 plotted points, each of which is above all plotted points to its left. From left to right, the points roughly follow the pattern of a curve that rises at a slightly decreasing rate and then rises at a slightly increasing rate. From left to right, the plotted points include the following: (1085, negative 2.22); (1100, negative 1.58); (1130, negative 1.4); (1160, negative 0.74); (1210, negative 0.62); (1225, negative 0.52); (1270, 0.1); (1290, 0.22); (1365, 0.86); (1435, 1.08); (1510, 1.72). All coordinates are approximate.

B.

100013001600-2.502.5ObservedvalueExpectedz-score

A coordinate system has a horizontal axis labeled Observed value from 1000 to 1600 in increments of 50 and a vertical axis labeled Expected z-score from negative 2.5 to 2.5 in increments of 0.5. There are 40 plotted points, each of which is above all plotted points to its left. From left to right, the points follow the general pattern of a smooth curve that rises at a slightly decreasing rate and then rises at a slightly increasing rate. From left to right, the plotted points include the following: (1085, negative 2.16); (1100, negative 1.74); (1130, negative 1.2); (1160, negative 0.7); (1210, negative 0.34); (1225, negative 0.04); (1270, 0.28); (1290, 0.64); (1365, 1.08); (1435, 1.74); (1510, 2.16). All coordinates are approximate.

C.

100013001600-2.502.5ObservedvalueExpectedz-score

A coordinate system has a horizontal axis labeled Observed value from 1000 to 1600 in increments of 50 and a vertical axis labeled Expected z-score from negative 2.5 to 2.5 in increments of 0.5. There are 40 plotted points, each of which is above all plotted points to its left. From left to right, the points follow the general pattern of a smooth curve that rises at a slightly decreasing rate and then rises at a slightly increasing rate. From left to right, the plotted points include the following: (1085, negative 1.24); (1100, negative 1); (1130, negative 0.68); (1160, negative 0.4); (1210, negative 0.2); (1225, negative 0.02); (1270, 0.16); (1290, 0.36); (1365, 0.62); (1435, 1); (1510, 1.24). All coordinates are approximate.

D.

100013001600-2.502.5ObservedvalueExpectedz-score

A coordinate system has a horizontal axis labeled Observed value from 1000 to 1600 in increments of 50 and a vertical axis labeled Expected z-score from negative 2.5 to 2.5 in increments of 0.5. There are 40 plotted points, each of which is above all plotted points to its left. The points follow a pattern of straight line that rises from left to right. From left to right, the plotted points include the following: (1085, negative 1.6); (1100, negative 1.46); (1130, negative 1.16); (1160, negative 0.84); (1210, negative 0.36); (1225, negative 0.24); (1270, 0.24); (1290, 0.44); (1365, 1.16); (1435, 1.86); (1510, 2.6). All coordinates are approximate.

Part 2

(b) Determine the mean and standard deviation of the sample data.

The mean of the sample data is

enter your response here.

(Round to one decimal place as needed.)

Part 3

The standard deviation of the sample data is

enter your response here.

(Round to one decimal place as needed.)

Part 4

(c) Using the sample mean and sample standard deviation obtained in part (b) as estimates for the population mean and population standard deviation, respectively, draw a graph of a normal model for the distribution of chips in a bag of cookies.

A.

Observed value

1000140018002200

A graph titled Observed Value has a horizontal axis labeled from 1000 to 2200 in increments of 50. A symmetric curve with a single peak at its center falls at an increasing and then decreasing rate on both sides, approaching the axis from above. A vertical line segment runs from the curve's peak to the axis at approximate coordinate 1450, labeled mu. The curve has inflection points at approximate coordinates 1320 and 1570.

B.

Observed value

600100014001800

A graph titled Observed Value has a horizontal axis labeled from 600 to 1800 in increments of 50. A symmetric curve with a single peak at its center falls at an increasing and then decreasing rate on both sides, approaching the axis from above. A vertical line segment runs from the curve's peak to the axis at approximate coordinate 1100, labeled mu. The curve has inflection points at approximate coordinates 970 and 1220.

C.

Observed value

900120015001800

A graph titled Observed Value has a horizontal axis labeled from 900 to 1800 in increments of 50. A symmetric curve with a single peak at its center falls at an increasing and then decreasing rate on both sides, approaching the axis from above. A vertical line segment runs from the curve's peak to the axis at approximate coordinate 1250, labeled mu. The curve has inflection points at approximate coordinates 1150 and 1350.

D.

Observed value

900120015001800

A graph titled Observed Value has a horizontal axis labeled from 900 to 1800 in increments of 50. A symmetric curve with a single peak at its center falls at an increasing and then decreasing rate on both sides, approaching the axis from above. A vertical line segment runs from the curve's peak to the axis at approximate coordinate 1150, labeled mu. The curve has inflection points at approximate coordinates 1070 and 1220.

Part 5

(d) Using the normal model from part (c), find the probability that an 18-ounce bag of chips selected at random contains at least 1000 chips.

The probability is

enter your response here.

(Round to three decimal places as needed.)

Part 6

(e) Using the normal model from part (c), find the probability that an 18-ounce bag of chips selected at random contains between

1300

and

1400

chips.

The probability is

enter your response here.

(Round to three decimal places as needed.)