Question
In: Math
Consider a sample of size 100 drawn from a population that obeys an unknown distribution. It...
Consider a sample of size 100 drawn from a population that obeys an unknown distribution. It is known that the population-variance (of some quality characteristic) is 6. Let µ denote the population-mean. Consider the following test of a hypothesis about µ.
H0 : µ = 70
H1 : µ ≠ 70
(a) Calculate Z0.005. Explain the meaning of Z0.005. (b) If the sample mean is observed to be 71, would you reject H0 with 99% confidence? What is the p-value of the sample mean? (c) If the sample mean is observed to be 71, and the sample size is 30 (instead of 100), would you reject H0 with 99% confidence?
Solutions
milcah answered 1 year agoRelated Solutions
14. A sample of size 144 is taken from a population with an unknown distribution. It...
14. A sample of size 144 is taken from a population with an
unknown distribution. It is known that the population distribution
has mean 32 and standard deviation 15.
(A)What is the distribution of the sample means x̄ ? Justify
your reasoning and be sure to completely specific the distribution
by stating values of the appropriate parameters.
(B) Compute P( x̄ ≥ 34). You may only use the z-score approach
and the probabilities provided in Table A.
(C) How large...
A random sample with replacement of size 100 is drawn from a population with mean 3.5...
A random sample with replacement of size 100 is drawn from a
population with mean 3.5 and standard deviation 3. Use the normal
approximation to calculate the probability that the sample average
is between 3 and 4. Round your answer to three decimal places.
A sample size of n=100 is drawn from a population whose standard deviation is =3.8 Find...
A sample size of n=100 is drawn from a population whose
standard deviation is =3.8 Find the margin of error for a 95%
confidence level.
Suppose samples of size 100 are drawn randomly from a population of size 1000 and the...
Suppose samples of size 100 are drawn randomly from a population
of size 1000 and the population has a mean of 20 and a standard
deviation of 5. What is the probability of observing a sample mean
equal to or greater than 21?
A sample of size 82 will be drawn from a population with mean 24 and standard...
A sample of size 82 will be drawn from a population with mean 24
and standard deviation 9. Would it be unusual if the sample mean
was greater than 27? Why or Why not?
A sample of size 42 will be drawn from a population with mean 52 and standard...
A sample of size 42 will be drawn from a population with mean 52
and standard deviation 11.
(a) Is it appropriate to use the normal distribution to find
probabilities for x(bar)?
(b) If appropriate find the probability that x(bar) will be between
53 and 54. Round the answer to at least four decimal places.
(c) If appropriate find the 46th percentile of x(bar). Round the
answer to at least two decimal places.
A sample of size 75 will be drawn from a population with mean 35 and standard...
A sample of size 75 will be drawn from a population with mean 35
and standard deviation 10.Use the Cumulative Normal Distribution
Table if needed.
1) Find the probability that mean=x will be greater than 32.
Round the final answer to at least four decimal places.
2) Find the 65th percentile of mean=x. Round the answer to at
least two decimal places.
A sample of size 47 will be drawn from a population with mean 19 and standard...
A sample of size 47 will be drawn from a population with mean 19
and standard deviation 14. Find the probability that will be
greater than 22.
A sample of size 47 will be drawn from a population with mean 19 and standard...
A sample of size 47 will be drawn from a population with mean 19
and standard deviation 14. Find the probability that will be
greater than 22.
Suppose that a sample of size 3 is drawn from a population consisting of the six...
Suppose that a sample of size 3 is drawn from a population
consisting of the six values 4, 8, 5, 3, 8, and 4, and that the
proportion of values that are greater than 4 is recorded. Find the
sampling distribution of this statistic by listing all possible
such samples of size 3. Find the mean and variance of the sampling
distribution.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 1. Why do most leases have expensive cancellation provisions? Does the existence of this provision shift...
- The requirements for your assignment are: Decode the IP address 172.16.31.255 /20 Determine the following: Subnet...
- Examine the various types of contracts available to Toyota when dealing with international suppliers and advise...
- Problem 10-08 NPVs, IRRs, and MIRRs for Independent Projects Edelman Engineering is considering including two pieces...
- Give an example for market segmentation for a new company developing either products for cats or...
- Suppose you have set a specific goal for the balance in your savings account 12 years...
- Explain in very good details the hardening and procedures of Microsoft Server 2019
ADVERTISEMENT