Question

when use r to compute one population mean z statistic testing, what is the value used in the parameter sigma.x?

population variance for population 1

population standard deviation for population 1

sample variance for sample 1

sample standard deviation for sample 1

Answer #1

Compute the z-statistic you would use if you wanted to examine
whether the mean age of marriage within a local cult is
significantly different from the mean age of marriage in the
general population. The data from your cult sample are presented
below. You also know that the mean age of marriage in the general
population is 29.23, with a population standard deviation of 4.13.
Compute zand show your plugged-in formula of z.
Your sample: 13, 15, 16, 18, 51,...

1. What criteria should be used for using the 2 sample Z
statistic?
2. Comparing Population Means with Unknown Population
Standard Deviations - When using the 2 sample t test (pooled t
test) what are the two major differences from using the 2 Sample Z
test?
3. Unequal Population Standard Deviations - if it is
not reasonable to assume the population standard deviations are
equal - what is the solution?
4. For Dependent samples, what test statistic would we use? What
are...

A sample mean, sample size, and population standard deviation
are provided below. Use the one-mean z-test to perform the
required hypothesis test at the 1% significance level. x bar =26,
n=36, σ=88, H0: mu=3, μ=31, Ha: mu < 31
Find test statistic Z?

In the EAI sampling problem, the population mean is 51900 and
the population standard deviation is 4000. When the sample size is
n=30 , there is a 0.5034 probability of obtaining a sample mean
within +/- 500 of the population mean. Use z-table.
a. What is the probability that the sample mean
is within 500 of the population mean if a sample of size 60 is used
(to 4 decimals)?
b. What is the probability that the sample mean
is...

While testing a claim about the population mean, if the value of
the population standard deviation σ is not known, then the
distribution we use:
1) Binomial Distribution
2) Standard Normal Distribution
3) None
4) Student's t-Distribution

While testing a claim about population mean, if the value of the
population standard deviation σ is not known, then the distribution
we use:CHOOSE
Binomial Distribution
Standard Normal Distribution
None
Student's t-Distribution
With H0: p = 0.4, Ha: p < 0.4 , the test statistic is z = –
1.68. Using a 0.05 significance level, the P-value and the
conclusion about null hypothesis are:
0.0465; reject H0
0.093; fail to reject H0
0.9535; fail to reject H0
0.0465;...

A sample mean, sample size, and population standard deviation
are provided below. Use the one-mean z-test to perform the required
hypothesis test at the 5% significance level.
x̄ = 27, n = 12, σ = 5
Ha : μ> 23

Confidence intervals are designed to predict where the
population mean will fall. We use the Z distribution when we know
the population standard deviation, and we use the T distribution
when we have or can find the sample standard deviation. Explain why
two different distributions are needed for this process?

For the standard normal distribution, compute Z0.69.
Use Excel and round the answer to two decimal places.
Consider the following test performed with the level of
significance 0.01: A random sample of size 28 is obtained from a
normally distributed population. The population standard deviation
is equal to 3.6. The sample mean happened to be 24. For this
hypothesis test, what will be the critical value (the relevant
z-alpha)? Round the answer to three decimal
places.
A probability distribution of all...

Suppose you are planning to use a test of the population mean
when the population standard deviation is known (a z test) to test
the following one-tailed hypotheses.
H₀: μ ≤ 0
H₁: μ > 0
Since you want to maximize the power of your study, you are
considering which factors might decrease power so that you can
adjust your plans to avoid them, if possible, before conducting
your research.
The following are your considerations for decreasing power. Fill
in...

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