Suppose a weightlifting team only takes the top 0.5% of lifters,
and the US mean weight...
Suppose a weightlifting team only takes the top 0.5% of lifters,
and the US mean weight is 250lb with a standard deviation of 100lb.
What is the minimum weight required to make the team?
Solutions
Expert Solution
The cursor is on the value we wanted, 0.5 + 0.495 = 0.995
Suppose the weight of a grizzly bear cub follows a Normal
distribution with a mean weight of 650 grams and a standad
deviation of 20 grams.
i) What is the probability that a newborn grizzly bear cub
weighs less than 625 grams?
ii) what is the probability that a new born grizzly weighs
between 608 and 675 grams?
iii) What weight is at the 90th percentile?
iv) If we take a random sample of 4 new born grizzly bear cubs...
Suppose that the mean weight of newborn babies is normally
distributed with a mean of 6.9 pounds and a standard deviation of
0.8 pound. A developmental psychologist wants to test whether
newborn babies of mothers who use drugs during pregnancy differ in
weight from the average baby. The psychologist takes a random
sample of 30 mothers who used drugs during pregnancy and computes
the mean birth weight of these mothers’ babies. This sample of 30
mothers has a sample mean...
Suppose that in the Akerlof example, there are only seven cars
with quality levels 0.5; 0.75; 1; 1.25; 1.5; 1.75; 2 (i.e., there
is no complete lemon). Assume sellers are fully informed about each
car's quality and buyers only know the average quality of cars. If
the sellers have a reservation price of $5000 per unit of quality,
and the buyers value cars at $7500 per unit of quality. Determine
whether the market disappears completely, and, if not, how many...
A randomly selected freshman takes English with probability
0.7, takes Math with probability 0.5, and takes either English or
Math with probability 0.8. What is the probability of taking both
English and Math?
Two mutually exclusive events A and B have P(A) = 0.2,
P(B) = 0.3. Find P (A or B).
Two independent events A and B have P(A) = 0.2, P(B) =
0.3. Find P (A or B).
If P (A | B) = 0.8 and P(B) =...
One factor in rating a National Hockey League team is the mean
weight of its players. A random sample of players from the Detroit
Red Wings was obtained. The weight (in pounds) of each player was
carefully measured, and the resulting data have a sample size of 18
with a sample mean of 205 pounds and a sample standard deviation of
11.6 pounds. You can assume that all of the assumptions are
met.
a) What are the assumptions that are...
One factor in rating a National Hockey League team is the mean
weight of its players. A random sample of players from the Detroit
Red Wings was obtained. The weight (in pounds) of each player was
carefully measured, and the resulting data have a sample size of 18
with a sample mean of 208 pounds and a sample standard deviation of
11.1 pounds. You can assume that all of the assumptions are
met.
a) What are the assumptions that are...
One factor in rating a National Hockey League team is the mean
weight of its players. A random sample of players from the Detroit
Red Wings was obtained. The weight (in pounds) of each player was
carefully measured, and the resulting data have a sample size of 16
with a sample mean of 202 pounds and a sample standard deviation of
11.6 pounds. Assume that the distribution of the weights is normal.
Please use 4 decimal places for all critical...
3. Suppose a bird takes off from the top of a lamp post with its
altitude (in m) given by
p(t) = (1/3)t3 - (1/2)t2 -6t +15
(a) Calculate the bird’s velocity and acceleration.
(b) How tall is the lamp post?
(c) Is the bird initially flying up or down as it leaves the
lamp post? Justify your answer using concepts from calculus.
(d) Determine the critical points for p(t).
(e) Determine the possible points of inflection for p(t).
(f)...
Suppose that X is a Normal random variable with mean 1.2 and
standard deviation 0.5.
a. Find a value a such that P(X?a)=0.10.
b. Find a value b such that P(X?b)=0.10.
c. Find a value c such that
P(1.2?c<X<1.2+c)=0.30.
a. Suppose that we want to show that the true mean weight of a
lollipop is less than 1.5 ounces. Set up you null and alternative
hypotheses to test this.
b. Suppose that the standard deviation is σ= 1 and the sample
size is n= 100. If we observe a sample mean weight of Oreo cookies
of 1.45 ounces, in words what is the p-value (referring to question
1)?
c. How can you restate your answer for question 3?