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1

The following are summary statistics for a set of data. Number of samples = 18, sample average = 5.76, sample standard deviation = 0.493. At a 0.05 significance level is the population average less than 6? Show calculations and provide the proper statement with respect to the hypothesis and rejection or fail to reject. Which statistical distribution did you use to evaluate the test and why? Was this a one-tail test or a two-tail test?

Answer #1

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The following are summary statistics for a set of data. Number
of samples = 18, sample average = 5.76, sample standard deviation =
0.493. At a 0.05 significance level is the population average less
than 6? Show calculations and provide the proper statement with
respect to the hypothesis and rejection or fail to reject. Which
statistical distribution did you use to evaluate the test and why?
Was this a one-tail test or a two-tail test?

A data set includes data from student evaluations of courses.
The summary statistics are n = 84, x (x bar) = 4.16, s = 0.59. Use
a 0.05 significance level to test the claim that the population of
student course evaluations has a mean equal to 4.25. Assume that a
simple random sample has been selected. Identify the null and
alternative hypotheses, test statistic, P-value, and state the
final conclusion that addresses the original claim. Show your work.
Correct Answers...

A data set includes data from student evaluations of courses.
The summary statistics are
n=90,
x=3.32,
s=0.68.
Use a 0.05 significance level to test the claim that the
population of student course evaluations has a mean equal to
3.50.
Assume that a simple random sample has been selected. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
Determine the test statistic.
State the...

Consider the following summary statistics, calculated from two
independent random samples taken from normally distributed
populations.
Sample 1 x¯1=20.87 s21=2.01 n1=16
Sample 2 x¯2=24.00 s22=3.36 n2=15
Test the null hypothesis H0:μ1=μ2against the alternative
hypothesis HA:μ1<μ2.
a) Calculate the test statistic for the Welch Approximate t
procedure. Round your response to at least 3 decimal places.
b) The Welch-Satterthwaite approximation to the degrees of
freedom is given by df = 26.366427. Using this information,
determine the range in which the p-value...

Summary statistics are given for independent simple random
samples from two populations. Use the nonpooled t-test to conduct
the required hypothesis test.
x1 = 12.5, SJ = 3.9, n1 = 14, x2 = 13.5, s2 = 5.2, n2 = 17 20)
--- Perform a left-tailed hypothesis test using a significance
level of a = 0.05.
A) Test statistic: t = -0.611 Critical value = - 1.701Do not
reject Ho
B) Test statistic: t = -2.211 Critical value= -1.699 Reject
Ho...

A data set includes data from student evaluations of courses.
The summary statistics are nequals=8484, x
overbarxequals=3.693.69, sequals=0.660.66. Use a 0.100.10
significance level to test the claim that the population of student
course evaluations has a mean equal to 3.753.75. Assume that a
simple random sample has been selected. Identify the null and
alternative hypotheses, test statistic, P-value, and state the
final conclusion that addresses the original claim.
b) Determine the test statistic.
c)Determine the P-value.
d) State the final...

Given the hypothesis that ?0:?=0.2 against ?1:?>0.2 (?????)
and the test statistics,
?=1.58.
1. Find the p-value.
A. 0.9429
B. 1.886
C. 0.0571
D. 0.1142
E. 0.5793
2. Assuming that the significance level is 0.05, what is
the conclusion?
A. Reject the null hypothesis. There is sufficient evidence to
support the claim that ?>0.2.
B. Reject the null hypothesis. There is sufficient evidence to
warrant rejection the claim that ?>0.2.
C. Fail to reject the null hypothesis. There is not...

A data set includes data from student evaluations of courses.
The summary statistics are n=86, x bar=3.33, s=0.62. Use a 0.05
significance level to test the claim that the population of student
course evaluations has a mean equal to 3.50. Assume that a simple
random sample has been selected. Identify the null and alternative
hypotheses, test statistic, p-value, and state the final conclusion
that addresses the original claim.

A data set includes data from student evaluations of courses.
The summary statistics are n=99, x=3.92, s=0.58. Use a 0.05
significance level to test the claim that the population of student
course evaluations has a mean equal to 4.00. Assume that a simple
random sample has been selected. Identify the null and alternative
hypotheses, test statistic, P-value, and state the final
conclusion that addresses the original claim.

A data set includes data from student evaluations of courses.
The summary statistics are n=95, x=3.86, s=0.67. Use a 0.05
significance level to test the claim that the population of student
course evaluations has a mean equal to 4.00. Assume that a simple
random sample has been selected. Identify the null and alternative
hypotheses, test statistic, P-value, and state the final
conclusion that addresses the original claim. What are the null and
alternative hypotheses?

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