Question
In: Statistics and Probability
Suppose that the mean value of interpupillary distance (the distance between the pupils of the left...
Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm.
(a) If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance x for these 25 will be between 63 and 67 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.)
P =
What is the probability that the sample mean distance x for these 25 will be at least 68 mm?
P =
(b) Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 67 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.)
P =
Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be at least 68 mm?
P =
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose that the mean value of interpupillary distance (the distance between the pupils of the left...
Suppose that the mean value of interpupillary distance (the
distance between the pupils of the left and right eyes) for adult
males is 65 mm and that the population standard deviation is 5 mm.
The distribution of interpupillary distance is unknown.
a.Suppose that a sample of size 100 is taken from this
population. What is the expected value of the sample mean? The
standard deviation (called standard error) of the mean? What
distribution does the sample mean follow? Justify your...
Suppose that the mean value of interpupillary distance (the distance between the pupils of the left...
Suppose that the mean value of interpupillary distance (the
distance between the pupils of the left and right eyes) for adult
males is 65 mm and that the population standard deviation is 5
mm.
(a) If the distribution of interpupillary distance is normal and
a random sample of n = 25 adult males is to be selected,
what is the probability that the sample mean distance x
for these 25 will be between 63 and 67 mm? (Round all your...
Suppose we are comparing the mean driving distance between 2 types of golf balls. At the...
Suppose we are comparing the mean driving distance between 2
types of golf balls. At the same location, the same golfer drives
ball A 40 times and ball B 40 times. For the ball A sample there is
a mean of 242 yards with a standard deviation of 41 yards. For the
ball B sample there is a mean of 265 yards with a standard
deviation of 48 yards. Does the data show that there is
a difference in the...
The mean distance between the Earth and the Sun is 1.50
The mean distance between the Earth and the Sun is 1.50
a. Find the z value to the left of mean so that 0.025 percent of the...
a. Find the z value to the left of mean so that 0.025 percent
of the area under the distribution curve lies to the left of it.
Also report the area that was left over after the last
calculation.
b. Find area between Z= 0 and Z=
1.31
c.
Find probability of P( -1.96≤ z ≤ 1.96) and P (Z=0)
The average score of a Business Studies graduate is 72 and the
standard deviation is 5. The top...
1. The distance between the Y value in the data and the predicted Y value from...
1. The distance between the Y value in the data and the
predicted Y value from the regression equation is known as the ? a.
criterion gap b. residual c. prediction gap 4. seeming
error
2. A linear regression has been based on a Pearson correlation
of r=.8. Without even looking at a scatterplot of the data you can
say.. a. the slope will be positive b. the slope will be negative
c. the predictions will be accurate d. it...
The distance between flaws on a long cable is exponentially distributed with a mean of 12...
The distance between flaws on a long cable is exponentially
distributed with a mean of 12 m.
a) Find the probability that the distance between two flaws is
greater than 15 m.
b) Find the probability that the distance between two flaws is
greater than 25 m given that it is greater than 10 m.
c) Find the probability that the distance between two flaws is
greater than 20 m given that it is greater than 10 m.
The distance between major cracks in a highway follows an exponential distribution with a mean of...
The distance between major cracks in a highway follows an
exponential distribution with a mean of 21 miles. Given that there
are no cracks in the first five miles inspected, what is the
probability that there is no major crack in the next 5 mile
stretch? Please enter the answer to 3 decimal places.
Suppose that a population of brakes supplied has a mean stopping distance, when the brake is...
Suppose that a population of brakes supplied has a mean stopping
distance, when the brake is applied fully to a vehicle traveling at
75 mph is 268 feet. Population standard deviation is 20 feet.
Suppose that you take a sample of n brakes to test and if the
average stopping distance is less than or equal to a critical
value, you accept the lot. If it is more than the critical value,
you reject the lot. You want an alpha...
Suppose that a health researcher is interested in determining whether the distance between the patient’s residence...
Suppose that a health researcher is interested in determining
whether the distance between the patient’s residence and source of
care, and # of disability days significantly predict the number of
visits at a local hospital.
Visits
Distance
Disability days
7
1
8
7
1
9
2
10
1
4
4
3
5
2
5
3
9
2
2
10
1
9
2
10
6
3
7
2
11
2
4
2
3
7
2
8
3
14
2
2
16...
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