Question

4. Assume that you have a sample of n_{1} = 7, with the
sample mean XBar X_{1} = 44, and a sample standard
deviation of S_{1} = 5, and you have an independent sample
of n_{2} = 14 from another population with a sample mean
XBar X_{2} = 36 and sample standard deviation S_{2}
= 6.

- What is the value of the pooled-variance t
_{STAT}test statistic for testing H_{0}:µ_{1}= µ_{2}? - In finding the critical value t
_{a/2}, how many degrees of freedom are there? - Using the level of significance α = 0.01, what is the critical
value for a one-tail test of the hypothesis
H
_{0}:µ_{1}≤ µ_{2}against the alternative H_{1}:µ_{1}> µ_{2}? - What is your statistical decision?

Answer #1

Assume that you have a sample of n 1 equals n1=9, with the
sample mean Upper X overbar 1 equals X1=50, and a sample standard
deviation of Upper S 1 equals 5 comma S1=5, and you have an
independent sample of n 2 equals n2=17 from another population with
a sample mean of Upper X overbar 2 equals X2=39
and the sample standard deviation Upper S2=6.
Complete parts (a) through (d).
a. What is the value of the pooled-variance tSTAT...

Given the information below that includes the sample size (n1
and n2) for each sample, the mean for each sample (x1 and x2) and
the estimated population standard deviations for each case( σ1 and
σ2), enter the p-value to test the following hypothesis at the 1%
significance level :
Ho : µ1 = µ2
Ha : µ1 > µ2
Sample 1
Sample 2
n1 = 10
n2 = 15
x1 = 115
x2 = 113
σ1 = 4.9
σ2 =...

Assume that you have a sample of n1=9, with the sample mean
Upper X overbar 1 equals =50, and a sample standard deviation of
Upper S 1 equals =6, and you have an independent sample of n2=12
from another population with a sample mean of Upper X overbar 2
equals =39 and the sample standard deviation Upper S 2 =5.
Complete parts below:
1.) what is the tSTAT?
2.) what is the degrees of freedom?
3.) what is the critical...

Suppose we have taken independent, random samples of sizes
n1 = 7 and n2 = 7 from two
normally distributed populations having means
µ1 and µ2, and suppose we
obtain x¯1 = 240 , x¯2 = 210 ,
s1 = 5, s2 = 6. Use
critical values to test the null hypothesis H0:
µ1 − µ2 < 20 versus the
alternative hypothesis Ha:
µ1 − µ2 > 20 by setting
α equal to .10, .05, .01 and .001. Using the...

assume that you have a sample of n1=7, with the sample mean
xbar1 =48 and a sample standard deviation of s1=4, and you have an
independant sample of n2=14 from another population with a sample
mean of xbar2 =32, and the sample standard deviation s2=6.
construct a 95% interval estimate of the population mean difference
between μ1 and μ2.
blank is less than or equal to μ1 - μ2 is less than or equal to
blank

Assume that you have a sample of n1=9, with the sample mean
X1=45, and a sample standard deviation of S1=6, and you have an
independent sample of n2=16 from another population with a sample
mean of X2=37, and the sample standard deviation S2=5. Construct a
99% confidence interval estimate of the population mean difference
between μ1 and μ2. Assume that the two population variances are
equal.
( ) ≤ μ1 −μ2 ≤ ( )
(Round to two decimal places as...

question 1
Assume that you have a sample of n1=4 , with a sample mean Xbar1
= 50 , and a sample standard deviation of S1= 5, and you have an
independant sample of n2 = 8 from another population with a sample
mean Xbar2 = 32 and the sample standard deviation S2=6. Assuming
the population variances are equal, at the 0.01 level of
significance, is there evidence that μ1>μ2?
part a
determine the hypotheses
a- Ho: μ1 not equal...

Suppose we have taken independent, random samples of sizes
n1 = 7 and n2 = 8 from two normally
distributed populations having means µ1 and
µ2, and suppose we obtain x¯1 = 229x¯1 =
229, x¯2 = 190x¯2 = 190, s1 = 6, s2 =
6. Use critical values to test the null hypothesis
H0: µ1 −
µ2 < 28 versus the alternative hypothesis
Ha: µ1 −
µ2 > 28 by setting α equal to .10, .05, .01
and .001....

Given the information below, enter the p-value to test the
following hypothesis at the 1% significance level :
Ho : µ1 = µ2
Ha : µ1 > µ2
Sample 1
Sample 2
n1 = 14
n2=12
x1 = 113
x2=112
s1 = 2.6
s2=2.4
What is the p-value for this test ? ( USE FOUR DECIMALS)

Suppose we have taken independent, random samples of sizes n1 =
8 and n2 = 8 from two normally distributed populations having means
µ1 and µ2, and suppose we obtain x¯1 = 227, x¯2 = 190 , s1 = 6,
s2 = 6. Use critical values to test the null hypothesis H0: µ1 − µ2
< 27 versus the alternative hypothesis Ha: µ1 − µ2 > 27 by
setting α equal to .10, .05, .01 and .001. Using the equal...

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