Question

A random sample of 16 drawn from a normal population yields a mean of 991 with a standard deviation of 15. Does this sample indicate that the mean is now different from the establish value of 1000? Use σ= .01.

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A simple random sample of size n=15 is drawn from a population
that is normally distributed. The sample mean is found to be bar
over x=19.5
and the sample standard deviation is found to be s=6.3.
Determine if the population mean is different from 25 at the
alpha=.01 level of significance.
A) Determine the null and alternative hypotheses
H0: ___ ____ 25
H1: ____ ____ 25
B) Calculate the p value
C) State conclusion. Reject or not reject? Is there...

A random sample of size 16 is selected from a normal population
with a mean of 173 and a standard deviation of 12. What is the
probability that the sample mean will exceed 175? Give answer to
two decimal places.

A simple random sample
of 16 adults drawn from a certain population of adults yielded a
mean weight of 63kg. Assume that weights in the population are
approximately normally distributed with a variance of 49. Do the
sample data provide sufficient evidence for us to conclude that the
mean weight for the population is less than 70 kg? Let the
probability of committing a type I error be .01.
1. Write the
hypotheses, indicate the claim
2. find the critical...

A simple random sample of 16 adults drawn from a certain
population of adults yielded a mean weight of 63kg. Assume that
weights in the population are approximately normally distributed
with a variance of 49. Do the sample data provide sufficient
evidence for us to conclude that the mean weight for the population
is less than 70 kg? Let the probability of committing a type I
error be .01. 1. Write the hypotheses, indicate the claim 2. find
the critical...

Let X1,...,Xn be a sample drawn from a normal population with
mean μ and standard deviation σ. Find E[X ̄S2].

8. A random sample is obtained from a
normal population with a mean of µ = 80 and a standard deviation of
σ = 8. Which of the following outcomes is more likely? Explain your
answer.
A. A
sample mean greater than 86 for a sample of n = 4 scores.
B. A
sample mean greater than 84 for a sample of n = 16 scores.
9. The distribution of SAT scores is
normal with a mean of...

A random sample is drawn from a population with mean μ
= 52 and standard deviation σ = 4.3.
a. Is the sampling distribution of the sample
mean with n = 13 and n = 39 normally
distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 13 will have a normal
distribution.
No, only the sample mean with n...

A simple random sample of size 11 is drawn from a normal
population whose standard deviation is σ=1.8. The sample mean is
¯x=26.8.
a.) Construct a 85% confidence level for μ. (Round answers to two
decimal place.)
margin of error:
lower limit:
upper limit:
b.) If the population were not normally distributed, what
conditions would need to be met? (Select all that apply.)
the population needs to be uniformly distributed
σ is unknown
simple random sample
large enough sample size...

A sample of 16 elements was extracted from a normal population.
This sample had a mean of 48 units and a standard deviation of 4
units. A second sample of 22 elements was extracted from another
normal population. This second sample had a mean of 52 units and a
standard deviation of 10 units. Since the variance in the first
population is different from the variance in the second population,
test the claim at 95% confidence that the mean of...

A random sample is drawn from a population with mean μ = 72 and
standard deviation σ = 6.0. [You may find it useful to reference
the z table.]
a. Is the sampling distribution of the sample mean with n = 17
and n = 45 normally distributed?
Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal
distribution.
No, only the sample mean with n = 17 will have...

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