Question
In: Statistics and Probability
The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken...
The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9 pounds. Assuming that ? is known to be 121.8 pounds, test the claim that the population mean of the weights of all Yellowstone bears is greater than 150 pounds.
a. What are the null and alternative hypotheses?
b. What type of test is this? (left-tailed, right-tailed, two-tailed)
c. Find the z-score (standard score) for the sample mean
d. What is the P-value?
e. State the conclusion for the 0.05 significance level.
f. State the conclusion for the 0.01 significance level.
Solutions
orchestra answered 2 years agoRelated Solutions
The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken...
The health of the bear population in
Yellowstone National Park is monitored by
periodic measurements taken from
anesthetized bears. In a sample of 100 bears, the mean weight was
found to be 185 lbs. Assume that ơ (population
standard deviation) is known to be 125 lbs, use a 0.03 significance
level to test the claim that the population mean weight of bears is
equal to 210 lbs.
State the claim in symbolic form.
(a) µ £
.210
(b) µ ³...
The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken...
The health of the bear population in Yellowstone National Park
is monitored by periodic measurements taken from anesthetized
bears. A sample of 54 bears has a mean weight of 182.9 lb. Assuming
that the population standard deviation is known to be 121.8lb,
construct and interpret a 99% confidence interval estimate of the
mean of the population of all such bear weights. Round the limits
to 1 decimal place. State the type of interval: Z or T interval
The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken...
The health of the
bear population in Yellowstone National Park is monitored by
periodic measurements taken from anesthetized bears. A sample of 38
bears has a mean weight of 189.6 lb.
At α = .05, can it be concluded that the average weight of a bear
in Yellowstone National Park is different from 187 lb? Note that
the standard deviation of the weight of a bear is known to be 8.2
lb.
(a)
Find the value of
the test statistic...
The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken...
The health of the bear population in Yellowstone National Park
is monitored by periodic measurements taken from anesthetized
bears. A sample of 38 bears has a mean weight of 188.2 lb.
At α = .01, can it be concluded that the average weight of a bear
in Yellowstone National Park is different from 187 lb? Note that
the standard deviation of the weight of a bear is known to be 8.2
lb.
(a)
Find the value of the test statistic...
1. The health of the bear population in Yellowstone National Park is monitored by periodic measurements...
1. The health of the bear population in Yellowstone National
Park is monitored by periodic measurements taken from anesthetized
bears. A sample of n = 54 bears has a mean weight of ¯x = 182.9 lb
and standard deviation of s = 121.8 lb. 86
(a) Calculate and interpret a 95% confidence interval estimate
of the population mean µ bear weight.
(b) Find the length of the confidence interval constructed in
part (a).
2. Hemoglobin levels in 11-year-old boys are...
The health of the bear population in a park is monitored by periodic measurements taken from...
The health of the bear population in a park is monitored by
periodic measurements taken from anesthetized bears. A sample of
the weights of such bears is given below. Find a 95% confidence
interval estimate of the mean of the population of all such bear
weights. The 95% confidence interval for the mean bear weight is
the following.
data table 80 344 416 348 166 220 262 360 204 144 332 34 140
180
14. The health of the adult dinosaur population in Jurassic Park is monitored by periodic measurements...
14. The health of the adult dinosaur population in Jurassic Park
is monitored by periodic measurements from drugged and sleeping
animals. A sample of 54 dinosaurs has mean height of 182.9 in.
Assuming that “sigma” is known to be 121.8 in., use a 0.05
significance level to test the claim that the population mean of
all such dinosaur heights should be greater than 150 in.
Park Rangers in a Yellowstone National Park have determined that fawns less than 6 months old...
Park Rangers in a Yellowstone National Park have determined that
fawns less than 6 months old have a body weight that is
approximately normally distributed with a mean µ = 26.1 kg and
standard deviation σ = 4.2 kg. Let x be the weight of a fawn in
kilograms. Complete each of the following steps for the word
problems below: Rewrite each of the following word problems into
a probability expression, such as P(x>30). Convert each of the...
Some geysers such as Old Faithful in Yellowstone National Park are remarkably consistent in the periodicity...
Some geysers such as Old Faithful in Yellowstone National Park
are remarkably consistent in the periodicity of their eruption. For
example, in 1988, 6,900 timed intervals between eruptions for Old
Faithful averaged 76.17 minutes, with the shortest observed
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It is also well known that the relationship between the length
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Consider eruptions of Old Faithful geyser in Yellowstone National Park. The distribution of eruptions is said...
Consider eruptions of Old Faithful geyser in Yellowstone
National Park. The distribution of eruptions is said to be roughly
normal and based on a study done in the park in 2011 has a mean
time between eruptions of 93 minutes with a standard deviation of
9.5 minutes.
A)You have watched the Geyser erupt, but your friend missed it.
What is the probability that he will have to wait less than an hour
to see it?
B)What is the probability your...
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