Question
In: Statistics and Probability
A study took random samples from ocean beaches. A total of 40 samples of size 250...
A study took random samples from ocean beaches. A total
of 40 samples of size 250 mL were taken, and the mean
number of plastic microparticles of sediment was 18.3 with a
standard deviation of 8.2. Test for evidence that the mean number
of microparticles is different from acceptable levels 15.
- What are the null and alternative hypotheses for this test?
- Calculate the hypothesis test standard error.
- Calculate the t test statistic. Show all work.
- Draw/label/shade a curve. Be sure to include the center and t test statistic.
- Use STATKEY to find the p-value.
- State the conclusion of your hypothesis test in context of the problem.
- How large a sample would you need for a 95% confidence interval in order to get a margin of error within ± 0.5 using a standard deviation of 4.
Solutions
orchestra answered 1 year agoRelated Solutions
You took a SRS ( Simple Random Sample) of size 40. Suppose that another student presented the...
You took a SRS ( Simple Random Sample) of size 40.
Suppose that another student presented the exact same data values
as you. Calculate the probability of this happening. Should I as
the instructor be concerned?
a) If random samples of size 12 are drawn from a population with mean 7 and...
a) If random samples of size 12 are drawn from a population with
mean 7 and standard deviation 2 , find the standard error of the
distribution of sample means.
b) Assume the sample is a random sample from a distribution that
is reasonably normally distributed and we are doing inference for a
sample mean. Find endpoints of a t-distribution with 0.025 beyond
them in each tail if the sample has size n=26.
c) Assume the sample is a random...
The safety director of a large steel mill took samples at random from company records of...
The safety director of a large steel mill took samples at random
from company records of minor work-related accidents and classified
them according to the time the accident took place.
Number of
Number of
Time
Accidents
Time
Accidents
8 up to 9 a.m.
10
1 up to 2 p.m.
9
9 up to 10 a.m.
19
2 up to 3 p.m.
20
10 up to 11 a.m.
9
3 up to 4 p.m.
6
11 up to 12 p.m.
8...
The safety director of a large steel mill took samples at random from company records of...
The safety director of a large steel mill took samples at random
from company records of minor work-related accidents and classified
them according to the time the accident took place.
Number of
Number of
Time
Accidents
Time
Accidents
8 up to 9 a.m.
10
1 up to 2 p.m.
8
9 up to 10 a.m.
7
2 up to 3 p.m.
8
10 up to 11 a.m.
8
3 up to 4 p.m.
6
11 up to 12 p.m.
22...
A random sample of size n = 40 is selected from a population that has a...
A random sample of size n = 40 is selected from a population
that has a proportion of successes p = 0.8.
1) Determine the mean proportion of the sampling distribution of
the sample proportion.
2) Determine the standard deviation of the sampling distribution
of the sample proportion, to 3 decimal places.
3) True or False? The sampling distribution of the sample
proportion is approximately normal.
A random sample of size 40 is selected from a population with the mean of 482...
A random sample of size 40 is selected from a population with
the mean of 482 and standard deviation of 18. This sample of 40 has
a mean, which belongs to a sampling distribution.
a) Determine the shape of the sampling distribution b) Find the
mean and standard error of the sampling distribution
c) Find the probability that the sample mean will be between 475
and 495?
d) Find the probability that the sample mean will have a value
less...
A random sample of size 9 from a distribution of ?(?, 36) yielded ?̅ = 40....
A random sample of size 9 from a distribution of ?(?, 36)
yielded ?̅ = 40. Find the confidence intervals for ?
a. 99%
b. 97.5%
c. 95%
d. 90%
a random sample size of 100 is selected from a population with P equals 40
a random sample size of 100 is selected from a
population with P equals 40
A random sample of size 40 is taken from a population with mean µ = 240...
A random sample of size 40 is taken from a population with mean
µ = 240 and standard deviation σ = 26.
i. Describe the probability distribution of the sample mean.
ii. What are the mean and the standard deviation of the sample
mean?
iii. Calculate the probability that the sample mean is between 230
and 250.
A random sample of size 40 is taken from a population with mean µ = 240...
A random sample of size 40 is taken from a population with mean
µ = 240 and standard deviation σ = 26.
i. Describe the probability distribution of the sample mean.
ii. What are the mean and the standard deviation of the sample
mean?
iii. Calculate the probability that the sample mean is between 230
and 250.
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