8. Suppose 22% of the eggs sold at a local grocery store that are graded “large” are smaller than that and should be graded “medium.” A random sample of 15 eggs graded large is obtained. Answer the following using the binomial distribution:(Round to 4 (FOUR) decimal places.)
What is the probability that 8 or more of the “large” eggs sampled are really medium-sized?
What is the probability fewer than 3 of the “large” eggs sampled are really medium-sized?
What is the probability that none of the “large” eggs sampled are really medium-sized?
What is the probability that exactly 4 of the “large” eggs sampled are really medium-sized?
What is the probability that all of the “large” eggs sampled are really medium-sized?
What is the probability that 6 or 7 of the “large” eggs sampled are really medium-sized?
In: Math
n a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 66 inches. The probability that the study participant selected at random is less than 66 inches tall is (b) Find the probability that a study participant has a height that is between 66 and 71 inches. The probability that the study participant selected at random is between 66 and 71 inches tall is (c) Find the probability that a study participant has a height that is more than 71 inches. The probability that the study participant selected at random is more than 71 inches tall
In: Math
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches.
(a) What is the probability that an 18-year-old man
selected at random is between 70 and 72 inches tall? (Round your
answer to four decimal places.)
(b) If a random sample of twenty-four 18-year-old men is
selected, what is the probability that the mean height x
is between 70 and 72 inches? (Round your answer to four decimal
places.)
(c) Compare your answers to parts (a) and (b). Is the
probability in part (b) much higher? Why would you expect this?
Select an answer.
The probability in part (b) is much higher because the mean is smaller for the x distribution.
The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.
The probability in part (b) is much higher because the mean is larger for the x distribution.
The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
The probability in part (b) is much higher because the standard deviation is larger for the x distribution.
In: Statistics and Probability
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches and standard deviation 5 inches.
1. What is the probability that an 18-year-old man selected at
random is between 71 and 73 inches tall? (Round your answer to four
decimal places.)
__________________
2. If a random sample of fourteen 18-year-old men is selected, what
is the probability that the mean height x is between 71
and 73 inches? (Round your answer to four decimal places.)
_________________
3. Compare your answers to parts (a) and (b). Is the probability in
part (b) much higher? Why would you expect this?
a) The probability in part (b) is much higher because the standard deviation is larger for the x distribution.
b) The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
c) The probability in part (b) is much higher because the mean is smaller for the x distribution.
d) The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.
e) The probability in part (b) is much higher because the mean is larger for the x distribution.
In: Statistics and Probability
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 1 inches.
(a) What is the probability that an 18-year-old man selected at
random is between 66 and 68 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of twenty-nine 18-year-old men is selected,
what is the probability that the mean height x is between
66 and 68 inches? (Round your answer to four decimal places.)
(c) Compare your answers to parts (a) and (b). Is the probability
in part (b) much higher? Why would you expect this?
The probability in part (b) is much higher because the mean is smaller for the x distribution.The probability in part (b) is much higher because the standard deviation is larger for the x distribution. The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.The probability in part (b) is much higher because the mean is larger for the x distribution.The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
In: Statistics and Probability
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 1 inches.
(a) What is the probability that an 18-year-old man selected at
random is between 65 and 67 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of twenty-six 18-year-old men is selected,
what is the probability that the mean height x is between
65 and 67 inches? (Round your answer to four decimal places.)
(c) Compare your answers to parts (a) and (b). Is the probability
in part (b) much higher? Why would you expect this?
The probability in part (b) is much higher because the mean is smaller for the x distribution. The probability in part (b) is much higher because the standard deviation is smaller for the x distribution. The probability in part (b) is much higher because the mean is larger for the x distribution. The probability in part (b) is much lower because the standard deviation is smaller for the x distribution. The probability in part (b) is much higher because the standard deviation is larger for the x distribu
In: Statistics and Probability
35) Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 71 and 73 inches tall? (Round your answer to four decimal places.) (b) If a random sample of sixteen 18-year-old men is selected, what is the probability that the mean height x is between 71 and 73 inches? (Round your answer to four decimal places.) (c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this? The probability in part (b) is much higher because the mean is smaller for the x distribution. The probability in part (b) is much higher because the standard deviation is larger for the x distribution. The probability in part (b) is much higher because the standard deviation is smaller for the x distribution. The probability in part (b) is much higher because the mean is larger for the x distribution. The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.
In: Statistics and Probability
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 4 inches.
(a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.)
(b) If a random sample of twenty-three 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.)
(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?
-The probability in part (b) is much higher because the mean is larger for the x distribution.
-The probability in part (b) is much higher because the standard deviation is larger for the x distribution. The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.
-The probability in part (b) is much higher because the mean is smaller for the x distribution.
-The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
In: Statistics and Probability
The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability.
For a sample of n= 3131,find the probability of a sample mean being less than 12,751or greater than 12,754 when μ=12,751and σ=1.9
For the given sample, the probability of a sample mean being less than 12,751 or greater than 12,754 is ________. (Round to four decimal places as needed.)
Would the given sample mean be considered unusual?
A.The sample mean would be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range.
B.The sample mean would not be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range.
C.The sample mean would be considered unusual because there is a probability less than 0.05 of the sample mean being within this range.
D.The sample mean would not be considered unusual because there is a probability less than 0.05 of the sample mean being within this range.
In: Statistics and Probability
Suppose that the IQs of university A's students can be described by a normal model with mean 140 and standard deviation 8 points. Also suppose that IQs of students from university B can be described by a normal model with mean 120 and standard deviation 11.
a) Select a student at random from university A. Find the probability that the student's IQ is at least 130 points. The probability is nothing. (Round to three decimal places as needed.)
b) Select a student at random from each school. Find the probability that the university A student's IQ is at least 10 points higher than the university B student's IQ. The probability is nothing. (Round to three decimal places as needed.)
c) Select 3 university B students at random. Find the probability that this group's average IQ is at least 125 points. The probability is nothing. (Round to three decimal places as needed.)
d) Also select 3 university A students at random. What's the probability that their average IQ is at least 10 points higher than the average for the 3 university B students? The probability is nothing. (Round to three decimal places as needed.)
In: Statistics and Probability