On April 2, 2009, President Obama had an approval rating of 62% (according to a
ID: 3338861 • Letter: O
Question
On April 2, 2009, President Obama had an approval rating of 62% (according to a Gallup Poll). Suppose a sample of 100 Americans is taken that same week. What is the probability that the sample proportion has between a 60% and a 66% approval rating? (Use 4 or more decimal places in your computations!)
QUESTION 4 1 points Save Answer The average price o a gallon of gasoline i Missouri was $3.10 as of 10-3-13 according to the AAA Daily Fuel Gauge Report Suppose it is own that hat is the probab ity that a sample o 32 gas stations taken that same week wil have a sample mean within $0.18 of the population mean? (Hint: You may need to use as many as 4+ decimal places in your computations to come up with the correct answer!) O a. .0080 b .0320 c. .1151 d..1664 e. .7698 f. .8414 QUESTION 5 1 points Save Answer On April 2, 2009, President Obama had an appro al r ting of 62% according to a Gal p Pol approval rating? (Use 4 or mcre decimal places in your computations) Suppose a sample of 100 American is taken that same week. What is the probability that the sample proportion has between a 60% and a 66% a. .4530 b. .4648 C. .7324 d.7939 e. B907 Of. Almost 1 QUESTION 6 1 points Save Answer if the sample size were to increase, what would hopen to the value of . ? a. It would decrease b. It wouid increase c. It would stay the same d. It is impossible to tell without knowing a proportion.Explanation / Answer
4) option C is correct
since
p [within sample mean 018] = p [Z < -0.18*sqrt(32/0.72)] = p [Z < -1.2] = 0.1151
5) option a is correct
p [0.6 < p < 0.66] = p [0.6 - 0.62/sqrt(0.62*0.38/100) < Z < 0.66 - 0.62/sqrt(0.62*0.38/100)]
= p [-0.412 < Z < 0.825]
= 0.4530
6) option a is correct
if sample size increase, then sigma(xbar) decreases, since both are indirectly related
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