Uranium in the Earth's crust. Refer to the American Mineralogist (Oct. 2009) study of the evolution of uranium minerals in the Earth's crust, Exercise 5.9 (p. 238). Recall that researchers estimate that the trace amount of uranium x in reservoirs follows a uniform distribution ranging be- tween 1 and 3 parts per million. In a random sample of n = 60 reservoirs, let i represent the sample mean amount of uranium. a. Find E(x) and interpret its value. b. Find Var(x). c. Describe the shape of the sampling distribution of x. d. Find the probability that is between 1.5 ppm and 2.5 ppm. e. Find the probability that x exceeds 2.2 ppm.

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Meme
Dour taste mto a sweet taste. Refer to the Plant Science
(May 2010) investigation of the ability of a hybrid to-
mato plant to produce miraculin, Exercise 5.38 (p. 251).
Recall that the amount x of miraculin produced in the
plant had a mean of 105.3 micrograms per gram of
fresh weight with a standard deviation of 8.0. Consider
a random sample of n = 64 hybrid tomato plants and
let x represent the sample mean amount of miracu-
lin produced, Would you expect to observe a value of
x less than 103 micrograms per gram of fresh weight?
Explain.
of
6.42 Uranium in the Earth's crust. Refer to the American
Mineralogist (Oct. 2009) study of the evolution of uranium
minerals in the Earth's crust, Exercise 5.9 (p. 238). Recall
30that researchers estimate that the trace amount of uranium
nx in reservoirs follows a uniform distribution ranging be-
tween 1 and 3 parts per million. In a random sample of
n = 60 reservoirs, let represent the sample mean amount
of uranium.
4
e
a. Find E(x) and interpret its value.
b. Find Var(x).
c. Describe the shape of the sampling distribution of T.
d. Find the probability that is between 1.5 ppm and
e
el
st
2.5
ppm.
e. Find the probability that x exceeds 2.2 ppm.
6.43 Critical part failures in NASCAR vehicles. Refer to The
Sport Journal (Winter 2007) analysis of critical part fail-
ures at NASCAR races, Exercise 5.106 (p. 271). Recall
that researchers found that the time x (in hours) until the
first critical part failure is exponentially distributed with
u = .10 and o = .10. Now, consider a random sample of
50 NASCAR races and let i represent the sample
mean time until the first critical part failure.
a. Find E(x) and Var(x).
b. Although x has an exponential distribution, the sam-
pling distribution of i is approximately normal. Why?
c. Find the probability that the sample mean time until the
first critical part failure exceeds .13 hour.
n =
6.44 Motivation of drug dealers. Refer to the Applied
3
O O o
Transcribed Image Text:Meme Dour taste mto a sweet taste. Refer to the Plant Science (May 2010) investigation of the ability of a hybrid to- mato plant to produce miraculin, Exercise 5.38 (p. 251). Recall that the amount x of miraculin produced in the plant had a mean of 105.3 micrograms per gram of fresh weight with a standard deviation of 8.0. Consider a random sample of n = 64 hybrid tomato plants and let x represent the sample mean amount of miracu- lin produced, Would you expect to observe a value of x less than 103 micrograms per gram of fresh weight? Explain. of 6.42 Uranium in the Earth's crust. Refer to the American Mineralogist (Oct. 2009) study of the evolution of uranium minerals in the Earth's crust, Exercise 5.9 (p. 238). Recall 30that researchers estimate that the trace amount of uranium nx in reservoirs follows a uniform distribution ranging be- tween 1 and 3 parts per million. In a random sample of n = 60 reservoirs, let represent the sample mean amount of uranium. 4 e a. Find E(x) and interpret its value. b. Find Var(x). c. Describe the shape of the sampling distribution of T. d. Find the probability that is between 1.5 ppm and e el st 2.5 ppm. e. Find the probability that x exceeds 2.2 ppm. 6.43 Critical part failures in NASCAR vehicles. Refer to The Sport Journal (Winter 2007) analysis of critical part fail- ures at NASCAR races, Exercise 5.106 (p. 271). Recall that researchers found that the time x (in hours) until the first critical part failure is exponentially distributed with u = .10 and o = .10. Now, consider a random sample of 50 NASCAR races and let i represent the sample mean time until the first critical part failure. a. Find E(x) and Var(x). b. Although x has an exponential distribution, the sam- pling distribution of i is approximately normal. Why? c. Find the probability that the sample mean time until the first critical part failure exceeds .13 hour. n = 6.44 Motivation of drug dealers. Refer to the Applied 3 O O o
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