Question

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 = 5.2 |

What is the p-value for this test ?

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 standard deviations for each sample (s1 and s2), enter the
p-value to test the following hypothesis at the 1% significance
level . Assume the variables come from normally distributed
populations with equal variances

Ho : µ1 = µ2

Ha : µ1 < µ2

Sample 1 | Sample 2 |

n1 = 12 | n2 = 12 |

x1 = 113 | x2 = 115 |

s1 = 4.2 | s2 = 5.15 |

What is the p-value for this test ?

Please breakdown the answer.

Answer #1

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)

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of n2 = 14 from another population with a sample mean
XBar X2 = 36 and sample standard deviation S2
= 6.
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Suppose we have taken independent, random samples of sizes
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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...

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...

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....

A random sample of n1 = 16 communities in western Kansas gave
the following information for people under 25 years of age.
x1: Rate of hay fever per 1000
population for people under 25
100
92
121
126
94
123
112
93
125
95
125
117
97
122
127
88
A random sample of n2 = 14 regions in
western Kansas gave the following information for people over 50
years old.
x2: Rate of hay fever per 1000
population for...

A random sample of size n1 = 25, taken from a normal
population with a standard deviation σ1 = 5.2, has a
sample mean = 85. A second random sample of size n2 =
36, taken from a different normal population with a standard
deviation σ2 = 3.4, has a sample mean = 83. Test the
claim that both means are equal at a 5% significance level. Find
P-value.

In order to compare
the means of two normal populations, independent random samples are
taken of sizes n1 = 400 and n2 = 400. The
results from the sample data yield:
Sample 1
Sample 2
sample mean = 5275
sample mean = 5240
s1 = 150
s2 = 200
To test the null
hypothesis H0: µ1 - µ2 = 0 versus
the alternative hypothesis Ha: µ1 -
µ2 > 0 at the 0.01 level of significance, the most
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A random sample of n1 = 52 men and a random sample of
n2 = 48 women were chosen to wear a pedometer for a
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The men’s pedometers reported that they took an average of 8,342
steps per day, with a standard deviation of
s1 = 371 steps.
The women’s pedometers reported that they took an average of
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214 steps.
We want to test whether men and women...

Consider the following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2
> 0 The following results are for two independent samples taken
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