tle: “HW5_skeleton”
thor: “First Name Last Name”
te: “October 13, 2016”
tput: html_document

7.1

31.

shadenorm(mu = 62, sig = 18, below = 44, col = "blue", dens = 200)

Interpretation 1. 15.87% of cell phone plans in US are less than 44 dollars/month Interpretation 2. Probablity is .1587 that a randomly selected cell phone plan in US is less than 44

32.

shadenorm(mu = 14, sig = 2.5, above = 17, col = "blue", dens = 200)

Interpretation 1. 11.51% of last more than 17 years.

Interpretation 2. Probability is .1151 that a randomly selected fridge lasts more than 17 years.

33.

shadenorm(mu = 3400, sig = 505, above = 4410, col = "blue", dens=200)

Interpretation 1. 2.28% of babies weigh more than 4410 grams

Interpretation 2. The probability is .0228 that a randomly selected baby weighs more than 4410 grams.

34.

shadenorm(mu = 55.9, sig = 5.7, below = 46.5, col = "blue", dens=200)

Interpretation 1. 4.96% of 10 year old males are less than 46.5 inches tall.

Interpretation 2. The probablitly is .0496 that a randomly selected 10 year old male is less than 46.5 inches tall.

35.

Interpretation 1. 19.08% of pregnancies are more than 280 days.

Interpretation 2. The probablility is .1908 of a randomly selected pregnancy is more than 280 days.

Interpretation 1. 34.16% of preganancies are beetween 230 and 269 days.

Interpretation 2. The probability is .3416 that a randomly selected pregnancy is between 230 and 269 days.

36.

Interpretation 1. The proportion that represents Elena’s gas lasting more than 26 miles is .03309

Interpretation 2. The probability is .3309 that elanas gas lasts more than 26 miles.

Interpretation 1. the proportion that represents the gas lasting between 18 and 21 miles is .1107

Interpretation 2. the probablility that elana’s gas lasts between 18 and 21 miles is .1107.

7.2

5.

  1. area: .0071
  2. area: .3336
  3. area: .9115
  4. area: .9998

7.

  1. area: .9987
  2. area: .9441
  3. area: .0375
  4. area: .0009

9.

  1. area: .9586
  2. area: .2088
  3. area: .8479

11.

  1. area: .0456
  2. area: .0646
  3. area: .5203

13. z = -1.28

15. z= .67

17. z1=-2.575 z2= 2.576

33. 40.62

35. 56.16

37.

  1. .1587. If 100 eggs are randomly selected we would expect 16 to incubate in less than 20 days.
  2. .5817. If 100 eggs were randomly selected we would expect 16 to incubate after 20 days.
  3. .4772. If 100 eggs are randomly selected we’d expect that 48 would hatch between 19 and 21 days.
  4. Yes, because the probablity is .0013 that that would happen.

39.

  1. .8658
  2. .0132
  3. .7019 have more than 1200 chocolate chips
  4. .1230
  5. 96th percentile
  6. 4th percentile

41.

  1. .4013 last more than 270 days
  2. .1587 last less than 250 days
  3. .7590 last between 240 and 280 days
  4. .1894 last more than 280 days
  5. .0951 will last no more than 245 days
  6. yes, .0043 are born before 224 days

43.

  1. .0764 rods are less than 24.9 cm
  2. .0324 will be discarded
  3. would expect to discard 162 of the 5000 rods
  4. 11804 rods

45.

  1. The favored team is equally likely to win or lose. yes, mean of implies accuracy.
  2. .3228
  3. .4286

47.

  1. the 17th percentile is 20 days
  2. 19 to 23 days make up the middle 95%

56. The SAT because the score is in the 84th percentile while the score for the ACT is in the 83rd percentile.