Question

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 μ2 , H1: μ1= μ2?

b- Ho: μ1 less than or equal to μ2 , H1: μ1 greater than μ2

c- Ho:μ1 greater than μ2 , H1: μ1 less than or equal than μ2

d- Ho: μ1 = μ2 , H1: μ1 not equal to μ2

Answer #1

Null Hypothesis: A hypothesis which is to be actually tested for acceptance or rejection is termed as null hpothesis. It is denoted by . While framing Null Hypothesis; there should not be any Inequality i.e Greater than or Less than concepts. There will be always the Equality.

Therefore option (d) is the Right Answer.

means

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...

Assume that you have a sample of n1=7, with the sample mean
Upper X overbar 1 =41, and a sample standard deviation of Upper S
1 = 4, and you have an independent sample of n2=12 from another
population with a sample mean of Upper X overbar 2 =35, and the
sample standard deviation Upper S 2 =6.Construct a 90% confidence
interval estimate of the population mean difference between μ1 and
μ2. Assume that the two population variances are equal.

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...

4. Assume that you have a sample of n1 = 7, with the
sample mean XBar X1 = 44, and a sample standard
deviation of S1 = 5, and you have an independent sample
of n2 = 14 from another population with a sample mean
XBar X2 = 36 and sample standard deviation S2
= 6.
What is the value of the pooled-variance tSTAT test
statistic for testing H0:µ1 =
µ2?
In finding the critical value ta/2, how many degrees...

You wish to test the following claim (HaHa) at a significance
level of α=0.01
Ho:μ1=μ2
Ha:μ1<μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=22 with a mean of ¯x1=65.6 and a
standard deviation of s1=6.2 from the first population. You obtain
a sample of size n2=20 with a mean...

You wish to test the following claim (Ha) at a significance
level of α=0.01 . Ho:μ1=μ2 Ha:μ1≠μ2 You believe both populations
are normally distributed, but you do not know the standard
deviations for either. And you have no reason to believe the
variances of the two populations are equal You obtain a sample of
size n1=21 with a mean of ¯x1=65.4 and a standard deviation of
s1=8.8 from the first population. You obtain a sample of size n2=17
with a...

You wish to test the following claim (H1) at a significance
level of α=0.01
Ho:μ1=μ2
H1:μ1>μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain a sample of size n1=20 with a mean of M1=84.6 and
a standard deviation of SD1=18.1 from the first population. You
obtain a sample of size n2=21 with...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=26n1=26 with a mean of
¯x1=74.8x¯1=74.8 and a standard deviation of s1=8.3s1=8.3 from the
first population. You obtain a sample of size n2=13n2=13 with a
mean...

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 =...

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