The number of raisins in a 16-ounce bag of oatmeal raisin cookies is normally distributed with a mean of 1021 raisins and a standard deviation of 2101 raisins. a. What proportion of 16-ounce bags of oatmeal raisin cookies contain fewer than 900 raisins? b. What is the probability that 14 random selected bags of oatmeal raisin cookies contain on average fewer than 900 raisins? c. Which is more likely: choosing a bag with fewer than 900 raisins, or choosing 14 bags with an average fewer fewer than 900 raisins? explain why?

A Food Marketing Institute found that 45% of households spend more than $125 a week on groceries. Assume the population proportion is 0.45 and a simple random sample of 113 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is more than than 0.43?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer =  (Enter your answer as a number accurate to 4 decimal places.

1.Suppose the number of cell phones in a household has a binomial distribution with parameters ?=13n=13 and ?=55p=55%.  
Find the probability of a household having:
(a) 9 or 12 cell phones  (b) 10 or fewer cell phones  (e) more than 10 cell phones
(c) 9 or more cell phones  (d) fewer than 12 cell phones  

2.If ? is a binomial random variable, compute ?(?=?) for each of the following cases:

(a)  ?=3,?=1,?=0.2
?(?=?)=

(b)  ?=6,?=1,?=0.5
?(?=?)=

(c)  ?=4,?=2,?=0.3
?(?=?)=

(d)  ?=3,?=2,?=0.2
?(?=?)=

A manufacturing company uses an acceptance scheme on items from a production line before they are shipped. Boxes of 20 items are readied for shipment. An inspector takes one item at random, inspects it, and then replaces it in the box; the next 8 inspectors do likewise. Finally, a tenth inspector goes through the same procedure.

Find the probability that 3 inspectors find defective in the box containing 2 defectives. (Round from the fifth decimal place to the fourth decimal place.)

[Hint: Think about the random variable, X representing the number of inspectors that found defective.]

Move = ₀ - .005 M_c - .002 Y_h + .007 S_h - .012 R - .001 A + .068 U - .001 (Y_f/Y_h)

where

Move = 1 if moved; 0 if did not move

M_c = number of children

Y_h = head's earnings

S_h = head's schooling

R = 1 if relatives reside in the area; 0 if no relatives in the area

A = head's age

U = 1 if unemployed at original location; 0 if employed at original location

Y_f/Y_h = ratio of wife to husband earnings

1. Do older people have a higher probability of geographic mobility? Why?

A Food Marketing Institute found that 47% of households spend more than $125 a week on groceries. Assume the population proportion is 0.47 and a simple random sample of 89 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is more than than 0.35?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 150 feet and a standard deviation of 55 feet. Let X= distance in feet for a fly ball. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 . (.3) X∼ ( , ) . (.35) For a random fly ball, what is the probability that this ball traveled fewer than 220 feet? P(X<220)= . (.35) The 80th percentile of the distribution of fly balls is given by P(X< )=0.80 .

A researcher compared the number of cavities of children who had used either Toothpaste brand M or Toothpaste brand L for a year. At the end of the year, the researcher found that the children who had used brand L had significantly fewer cavities than the children who had used brand M. The difference was significant at the .01 level.

1.         What is the null hypothesis?

2.         What is the research hypothesis?

3.         What would be the Type I error?

4.         What would be the Type II error?

5.         What is the probability of a Type I error?

Johnson Electronics makes calculators. Consumer satisfaction is one of the top priorities of the company’s management. The company guarantees a refund or replacement for any calculator that malfunctions within two years from the date of purchase. It is known from past data that despite all efforts, 5% of the calculators manufactured by the company malfunction within a 2- year period. The company mailed a package of 10 randomly selected calculators to a store.

a) Create a probability distribution table for the number of calculators that will be returned for refund or replacement within a 2-year period.

b) Draw the corresponding histogram for part a

28) Which of the following predictions cannot be described by a binary choice model?

A) Predict the ability to swim through the English Channel.

B) Predict the chances of a candidate winning the next presidential election.

C) Predict today's number of cars crossing the Golden Gate Bridge.

D) Predict the occurrence of a hurricane in Florida next year.

29.) For the linear probability model y = β0 + β1x + ε, the predicted value of y is always constrained to be ________.

A) between 0 and 1.

B) positive.

C) negative.

D) between minus infinity to infinity.