Question
In: Statistics and Probability
Among two independent random samples, one from city schools and one from rural schools, the following...
Among two independent random samples, one from city schools and
one from rural schools, the
following sample statistics were computed for the amount of
Instructional Spending per student
(in thousands of dollars). Assume the unknown population variances
are equal to answer the
following questions.
City
Schools Rural Schools
Sample Means 5.16 5.93
Sample Sizes 35 42
Sample Variances 3.1 4.06
a. Construct a 90% confidence interval (α = 10%) for the
difference between the two
sample means. Show the Margin of Error (ME) the Lower Confidence
Limit (LCL) and
Upper Confidence Limit (UCL).
b. Test the null hypothesis that the two sample means are equal
versus the alternative
hypothesis that the means are not equal at a 95% confidence level
(α=5%). Show your
test statistic, decision criteria, and state your conclusion.
Solutions
orchestra answered 1 year agoRelated Solutions
Two random samples are taken, one from among UVA students and the other from among UNC...
Two random samples are taken, one from among UVA students and
the other from among UNC students. Both groups are asked if
academics are their top priority. A summary of the sample sizes and
proportions of each group answering yes'' are given below: UVA
(Pop. 1):UNC (Pop.
2):n1=81,n2=85,p^1=0.8
p^2=0.663
Find a 96.3% confidence interval for the difference
p1−p2 of the population proportions.
Two random samples are taken, one from among UVA students and the other from among UNC...
Two random samples are taken, one from among UVA students and
the other from among UNC students. Both groups are asked if
academics are their top priority. A summary of the sample sizes and
proportions of each group answering yes'' are given below:
UVA (Pop. 1):n1=80, p̂ 1=0.72
UNC (Pop. 2):n2=81, p̂ 2=0.64
Find a 97.7% confidence interval for the difference p1−p2 of the
population proportions.
Confidence interval = ?????
-any chance you can also explain how this is done...
Two random samples are taken, one from among UVA students and the other from among UNC...
Two random samples are taken, one from among UVA students and
the other from among UNC students. Both groups are asked if
academics are their top priority. A summary of the sample sizes and
proportions of each group answering yes'' are given below:
UVA (Pop. 1):UNC (Pop. 2):n1=85,n2=100,p̂ 1=0.733p̂ 2=0.635UVA
(Pop. 1):n1=85,p^1=0.733UNC (Pop. 2):n2=100,p^2=0.635
Find a 95.4% confidence interval for the difference p1−p2p1−p2
of the population proportions.
Two random samples are taken, one from among UVA students and the other from...
Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below: UVA (Pop. 1): n1 = 89,\(\hat{p}_{1}\)
= 0.81 UNC (Pop. 2): n2 = 86,\(\hat{p}_{2}\) = 0.561 Find a 97.3% confidence interval for the difference P1 – P2 of the population proportions. Confidence interval = _______
Two random samples are taken, one from among first-year students and the other from among fourth-year...
Two random samples are taken, one from among first-year students
and the other from among fourth-year students at a public
university. Both samples are asked if they favor modifying the
student Honor Code. A summary of the sample sizes and number of
each group answering yes'' are given below:
First-Years (Pop. 1):Fourth-Years (Pop.
2):n1=84,n2=88,x1=43x2=38
Is there evidence, at an ?=0.08 level of significance,
to conclude that there is a difference in proportions between
first-years and fourth-years? Carry out an appropriate...
Two random samples are taken, one from among first-year students and the other from among fourth-year...
Two random samples are taken, one from among first-year students
and the other from among fourth-year students at a public
university. Both samples are asked if they favor modifying the
student Honor Code. A summary of the sample sizes and number of
each group answering "yes'' are given below:
First-Years (Pop. 1):n1=93 x2=56
Fourth-Years (Pop. 2):,n2=97 x1=62
Is there evidence, at an α=0.07 level of significance, to
conclude that there is a difference in proportions between
first-years and fourth-years? Carry...
Given two independent random samples with the following results:
Given two independent random samples with the following results: n1=170x1=36 n2=123x2=65 Use this data to find the 90% confidence
interval for the true difference between the population
proportions.Step 1 of 4 : Find the values of the two sample proportions, pˆ1
and pˆ2. Round your answers to three decimal places.Step 2 of 4: Find the margin of error. Round your answer to six
decimal places.Step 3 of 4: Construct the 90% confidence interval. Round your
answers to three decimal places.
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent
populations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1=37,n2=44,x¯1=58.9,x¯2=74.7,s1=5.5s2=10.1 n 1 =37, x ¯ 1 =58.9, s
1 =5.5 n 2 =44, x ¯ 2 =74.7, s 2 =10.1 Find a 95.5% confidence
interval for the difference μ1−μ2 μ 1 − μ 2 of the means, assuming
equal population variances. Confidence Interval
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent
populations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1=39,n2=48,x¯1=52.5,x¯2=77.5,s1=5s2=11 Find a 97.5% confidence
interval for the difference μ1−μ2 of the means, assuming equal
population variances. Confidence Interval =
Consider the following data for two independent random samples taken from two normal populations with equal...
Consider the following data for two independent random samples
taken from two normal populations with equal variances. Find the
95% confidence interval for µ1 - µ2. Sample 1: 11,5,12,9,6,8 Sample
2: 12,9,16,13,11,11
What are the left adn right endpoints?
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