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. 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.

  1. State the claim in symbolic form.

(a) µ £ .210                (b) µ ³ .185       (c) µ = 185                 (d) µ = 210

  1. Identify the null and alternative hypotheses:

(A) Ho: µ ³ 210    H1: µ < 210                             (b) Ho: µ = 210    H1: µ ≠ 210

(c) Ho: µ ≠ 210 H1: µ = 210                              (d) Ho: µ £ 185    H1: µ > 185

  1. What type of hypothesis test is this?
    1. left-tail                    (b) right-tailed            (c) two-tailed
  1. What is the value of the test statistic?

(a) 2.00                (b) 0.0228                    (c) -2.00                       (d) .0456

  1. What is the P-value?

(a) 0.0228            (b) 0.456                      (c) -2.00                       (d) 0.0456

show work

Solutions

Expert Solution

a)

Claim:  (d) µ = 210

c)

Two tailed

Other answers:

orchestra answered 2 years ago
Next > < Previous

Related 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. 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...
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 interval 41 minutes and the longest 114 minutes. In the past 120 years Old Faithful's yearly average interval has always been between 60 and 79 minutes. It is also well known that the relationship between the length of the eruption and the...
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...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT