Question
In: Statistics and Probability
Describe a confidence interval for the mean of a population by stating 1. a population and...
Describe a confidence interval for the mean of a population by stating 1. a population and a quantitative variable on that population, 2. a sample size, 3. a sample mean of that variable, and 4. a sample standard deviation, and 5. a confidence level, then 6. finding the interval. Then perform a test of significance on the mean of the population by stating 7. both a null and an alternative hypothesis and 8. an α-level, then finding 9. the one-sample t-statistic and either 10. rejecting or failing to reject the null hypothesis. Remember that you do not need to list the values of the variable for individuals in either the sample or the population, and that the values for 2, 3, 4, 5, and 8 do not need to be calculated, only stated.
Solutions
Expert Solution
All the notations have been used in their standard form. Be careful with one sided and two sided tests , upper and lower alpha points and the interpretation of level of significance .
T distribution is used when the population standard deviation is
unknown.
orchestra answered 1 year agoRelated Solutions
Describe a confidence interval for the mean of a population by stating 1. a population and...
Describe a confidence interval for the mean of a population by
stating 1. a population and a quantitative variable on that
population, 2. a sample size, 3. a sample mean of that variable,
and 4. a sample standard deviation, and 5. a confidence level, then
6. finding the interval. Then perform a test of significance on the
mean of the population by stating 7. both a null and an alternative
hypothesis and 8. an α-level, then finding 9. the one-sample...
Describe a confidence interval for the mean of a population by stating 1. a population and...
Describe a confidence interval for the mean of a population by
stating 1. a population and a quantitative variable on that
population, 2. a sample size, 3. a sample mean of that variable,
and 4. a sample standard deviation, and 5. a confidence level, then
6. finding the interval. Then perform a test of significance on the
mean of the population by stating 7. both a null and an alternative
hypothesis and 8. an α-level, then finding 9. the one-sample...
Describe a confidence interval for the mean of a population by stating 1. a population and...
Describe a confidence interval for the mean of a population by
stating
1. a population and a quantitative variable on that
population,
2. a sample size,
3. a sample mean of that variable, and
4. a sample standard deviation, and
5. a confidence level, then
6. finding the interval. Then perform a test of significance on the
mean of the population by stating
7. both a null and an alternative hypothesis and
8. an α-level, then finding
9. the one-sample...
Describe a confidence interval for the difference in means between two population by stating 1. a...
Describe a confidence interval for the difference in means
between two population by stating 1. a pair of populations composed
of the same type of individuals and a quantitative variable on
those populations, 2. sizes and degrees of freedom of samples from
those populations, 3. the means of those samples, and 4. the
standard deviations of those samples. Then state 5. a confidence
level and find 6. find the interval. Finally, perform a test of
significance concerning the difference in...
Describe a test of significance on the mean of a population by stating 1. a population,...
Describe a test of significance on the mean of a population by
stating
1. a population,
2. a quantitative variable on that population,
3. the population standard deviation of that variable (with
units),
4. a null hypothesis,
5. an alternative hypothesis,
6. an α-level,
7. a sample size, and
8. a sample mean of that variable (with units). Find
9. the one-sample z-statistic and either
10. reject or fail to reject the null hypothesis. What does this
tell us about...
For a confidence interval for population parameter (e.g. the population mean) computed at a 97% confidence...
For a confidence interval for population parameter (e.g. the
population mean) computed at a 97% confidence level, what
proportion of all possible confidence intervals will contain the
true parameter value? Enter answer with 2 decimal places.
1. If we want to provide a 91% confidence interval for the mean of a population, __ is the confidence coefficient.
1. If we want to provide a 91% confidence interval for the mean of a population, __ is the confidence coefficient.
a) 1.7 b) .09 c) .045 d).91
2. When we calculate a confidence interval for the sampling distribution of bar and the standard deviation of the normally distributed population is unknown...
a) we use s for o and use the t-distibution b) we cannot calculate a confidence interval c)none of the above is correct
3. When calculating a...
Construct a confidence interval for ?? the mean of the differences d for the population of...
Construct a confidence interval for ?? the mean of the
differences d for the population of paired data. Assume that the
population of paired differences is normally distributed. The table
shows the weights of 9 subjects before and after following a
particular diet for two months. Construct a 99% confidence interval
for the mean difference of the “before” minus “after” weights.
Round to one decimal place.
Subject
A
B
C
D
E
F
G
H
I
Before
168
180
157...
1. In order to construct a confidence interval for a population mean or proportion, we must...
1. In order to construct a confidence interval for a population
mean or proportion, we must have that the sample size is small
relative to the population and the sample data must have come from
a simple random sample or a randomized experiment. Explain why
these conditions are necessary.
2. In order to construct a confidence interval for a population
proportion, we must additionally have np(1-p) at least 10. For a
population mean, we must additionally have that the population...
A 90% confidence interval for a population mean, μ, is given as (21.73, 24.64). This confidence...
A 90% confidence interval for a population mean, μ, is given as
(21.73,
24.64). This confidence interval is based on a simple random sample
of 41
observations. Calculate the sample mean and standard deviation.
Assume
that all conditions necessary for inference are satisfied. Use the
t-
distribution in any calculations.
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