Question
In: Math
2. A sample of 100 is selected from a population with mean µ = 100 and...
2. A sample of 100 is selected from a population with mean µ = 100 and σ = 20.0.
(a) Describe the sampling distribution of the sample mean X¯.
(b) Find P(X >¯ 105).
(c) Find P(100 < X <¯ 105).
(d) Find P(98 < X <¯ 104).
3. According to the U.S. Department of Energy, the average price of unleaded regular gasoline sold at service stations throughout the nation is $1.23 per gallon with a standard deviation of $0.16. A random sample of 45 stations is selected and the pump prices for unleaded gasoline are recorded. Find the probability that the sample mean price:
(a) exceeds $1.28 per gallon,
(b) is less than $1.19 per gallon,
(c) is between $1.20 and $1.27 per gallon,
4. Almost all medical schools in the U. S. require students to take the Medical College Admission Test (MCAT). Suppose that the test scores follow a normal distribution with mean 25.0 and standard deviation 6.5.
(a) One student is selected at random, what is the probability that the student’s score is between 20 and 30?
(b) A random sample of 36 students is selected, what is the probability that their mean score is between 20 and 30?
Solutions
milcah answered 1 year agoRelated Solutions
A sample of n=28 individuals is randomly selected from a population with a mean of µ=...
A sample of n=28 individuals is randomly selected from a
population with a mean of µ= 63, and a treatment is administered to
the individuals in the sample. After treatment, the sample mean is
found to be M=68.
a. If the sample variance = 96, are the data sufficient to reject
the null and conclude that the treatment has a significant effect
using a two-tailed test with alpha = .05? Be sure to show all
formulas with symbols (and plug...
A sample is selected from a normal population with a µ = 40 and σ =...
A sample is selected from a normal population with a µ = 40 and
σ = 12. After the treatment is administered to the sample, the
sample mean is found to be M = 46. Using two-tailed Z-tests (with
p < .05): A) Is there a significant treatment effect if
the sample size was n = 4? B) If n = 36? C) What
are the 95% confidence intervals for these two situations?
A sample is selected from a population with µ= 50. After a treatment is administered to...
A sample is selected from a population with µ= 50.
After a treatment is administered to the individuals in the sample,
the mean is found to be M= 55 and the variance is
s2= 64.
For a sample of n = 16 scores, conduct a single sample
t-test to evaluate the significance
of the treatment effect and calculate Cohen’s d to
measure the size of the treatment effect.
Use a two-tailed test with α = .05. Show the
sampling distribution....
A sample of students is selected from a population with µ = 50. After a treatment...
A sample of students is selected from a population with
µ = 50. After a treatment is administered to the
individuals in the sample, the mean is found to be M = 55 and the
variance is s2 = 64.
If the sample has n = 16 scores, then conduct a
hypothesis test to evaluate the significance of the treatment
effect.
Use a two-tailed test with α = .05.
What is the est. standard error or est. s.e.
value?
What...
A sample of n = 16 individuals is selected from a population with µ = 30....
A sample of n = 16 individuals is selected from a population
with µ = 30. After a treatment is administered to the individuals,
the sample mean is found to be M = 33. A. Assume that the sample
variance is s2 = 16. Compute a single sample t-test to evaluate if
the treatment produced a significant effect and calculate r2 to
measure the size of the treatment effect. Use a two-tailed test
with α = .05. B. Now, assume...
A sample is selected from a population with µ= 50. After a treatment is administered to...
A sample is selected from a population with µ= 50.
After a treatment is administered to the individuals in the sample,
the mean is found to be M= 55 and the variance is
s2= 64.
a. For a
sample of n = 4 scores, conduct a single sample t-test to
evaluate the significance of the treatment effect and
calculate Cohen’s d to measure the size of the treatment
effect. Use a two-tailed test with α = .05.Show the
sampling distribution.(2pts)...
A sample of n = 16 individuals is selected from a population with µ = 30....
A sample of n = 16 individuals is selected from a population
with µ = 30. After a treatment is administered to the individuals,
the sample mean is found to be M = 33. A. Assume that the sample
variance is s2 = 16. Compute a single sample t-test to evaluate if
the treatment produced a significant effect and calculate r2 to
measure the size of the treatment effect. Use a two-tailed test
with α = .05. B. Now, assume...
A sample of n = 4 is selected from a population with µ = 50. After...
A sample of n = 4 is selected from a population with µ = 50.
After a treatment is administered to the individuals in the sample,
the mean is found to be M = 55 and the variance is s2= 64.
a. For a two-tailed test, what is the null hypothesis using
statistical notation?
b. For a two-tailed test, what is the alternative hypothesis
using statistical notation?
c. What is the estimated standard error?
d. What is the value/s for...
A sample is selected from a population with µ= 50. After a treatment is administered to...
A sample is selected from a population with µ= 50.
After a treatment is administered to the individuals in the sample,
the mean is found to be M= 55 and the variance is
s2= 64.
a. For a
sample of n = 4 scores, conduct a single sample t-test to
evaluate the
significance of the treatment effect and
calculate Cohen’s d to measure the size of the
treatment effect. Use a two-tailed test with α =...
A sample of n = 16 individuals is selected from a population with µ = 30....
A sample of n = 16 individuals is selected from a population
with µ = 30. After a treatment is administered to the individuals,
the sample mean is found to be M = 33. a. If the sample variance is
s2 = 16, then calculate the estimated standard error and determine
whether the sample is sufficient to conclude that the treatment has
a significant effect? Use a two-tailed test with α = .05. b. If the
sample variance is s2...
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