Question

A livestock company reports that the mean weight of a group of young steers is 1164...

A livestock company reports that the mean weight of a group of young steers is 1164 pounds with a standard deviation of 90 pounds. Based on the model ​N(1164​,90​) for the weights of​ steers, what percent of steers weigh

​a) over 1100 ​pounds? ​b) under 900 ​pounds? ​c) between 1150 and 1200 ​pounds?

Homework Answers

Answer #1

Mean, = 1164 pounds

SD, = 90 pounds

We know, Z =

(a) Percentage of steers who weigh over 1100 pounds

= P(X > 1100)*100%

= P{Z > (1100 - 1164)/90}*100%

= P(Z > -0.711)*100%

= 76.14%

(b) Percentage of steers who weigh under 900 pounds

= P(X < 900)*100%

= P{Z < (900 - 1164)/90}*100%

= P(Z < -2.933)*100%

= 0.17%

(c) Percentage of steers who weigh between 1150 and 1200 pounds

= P(1150 < X < 1200)*100

= P{(1150 - 1164)/90 < Z < (1200 - 1164)/90}*100

= P(-0.156 < Z < 0.4)*100%

= 0.1744*100 = 17.44%

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A livestock company reports that the mean weight of a group of young steers is 1149...
A livestock company reports that the mean weight of a group of young steers is 1149 pounds with a standard deviation of 89 pounds. Based on the model ​N(1149​,89​) for the weights of​ steers, what percent of steers weigh ​a) over 1150 ​pounds? ​b) under 1250 ​pounds? ​c) between 1100 and 1200 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1103...
A livestock company reports that the mean weight of a group of young steers is 1103 pounds with a standard deviation of 80 pounds. Based on the model ​N(1103​,80​) for the weights of​ steers, what percent of steers weigh ​a) over 1150 ​pounds? ​b) under 1300 ​pounds? ​c) between 1200 and 1250 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1102...
A livestock company reports that the mean weight of a group of young steers is 1102 pounds with a standard deviation of 85 pounds. Based on the model ​N(1102​,85​) for the weights of​ steers, what percent of steers weigh ​a) over 1200 ​pounds? ​b) under 1150 ​pounds? ​c) between 1050 and 1300 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1,111...
A livestock company reports that the mean weight of a group of young steers is 1,111 pounds with a standard deviation of 73 pounds. Based on the model ​N(1,111​,73​) for the weights of​ steers, what percent of steers weigh ​a) over 1150 ​pounds? ​b) under 900 ​pounds? ​c) between 1050 and 1250 pounds?
A livestock company reports that the mean weight of a group of young steers is 1168...
A livestock company reports that the mean weight of a group of young steers is 1168 pounds with a standard deviation of 74 pounds. Based on the model ​N(1168,74) for the weights of steers, what percent of steers weigh a) over 1200 ​pounds? ​ b) under 1100 ​pounds? ​ c) between 1000 and 1050 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1148...
A livestock company reports that the mean weight of a group of young steers is 1148 pounds with a standard deviation of 64 pounds. Based on the model ​N(1148,64​) for the weights of​ steers, what percent of steers weigh ​ a) over 1300 ​pounds? ​b) under 1200 ​pounds? ​c) between 1000 and 1250 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1151...
A livestock company reports that the mean weight of a group of young steers is 1151 pounds with a standard deviation of 65 pounds. Based on the model ​N(1151 ​,65 ​) for the weights of​ steers, what percent of steers weigh ​a) over 1200 ​pounds? ​b) under 1000 ​pounds? ​c) between 1050 and 1300 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1161...
A livestock company reports that the mean weight of a group of young steers is 1161 pounds with a standard deviation of 80 pounds. Based on the model ​N(1161​,80​) for the weights of​ steers, what percent of steers weigh ​ a) over 1250 ​pounds? ​b) under 1050 ​pounds? ​ c) between 1200 and 1300 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1145...
A livestock company reports that the mean weight of a group of young steers is 1145 pounds with a standard deviation of 84pounds. Based on the model ​N(1145,84​) for the weights of​ steers, what percent of steers weigh ​ a) over 1050 ​pounds? ​ b) under 1000​pounds? ​ c) between 1250 and 1300 ​pounds?
A livestock company reports that the mean weight of a group of young steers is 1138...
A livestock company reports that the mean weight of a group of young steers is 1138 pounds with a standard deviation of 60 pounds. Based on the model ​N(1138,60) for the weights of​ steers, what percent of steers weigh ​a) over 1150 ​pounds? ​b) under 950 ​pounds? ​c) between 1050 and 1250pounds? ​a) nothing​% of steers have weights above 1150 pounds. ​(Round to one decimal place as​ needed.) ​b) nothing​% of steers have weights below 950 pounds. ​(Round to one...