alphaequals=0.01 Upper H 0 : mu 1 minus mu 2 greater than or equals 0H0: 120 Upp
ID: 3358940 • Letter: A
Question
alphaequals=0.01
Upper H 0 : mu 1 minus mu 2 greater than or equals 0H0: 120
Upper H 1 : mu 1 minus mu 2 less than 0H1: 12<0
a) Calculate the appropriate test statistic and interpret the result.
b) Calculate the p-value and interpret the result.
x overbarx1
equals=
126
x overbarx2
equals=
139
sigma1
equals=
39
sigma2
equals=
32
n1
equals=
35
n2
equals=
40
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a) The test statistic is
nothing.
(Round to two decimal places as needed.)
Determine the appropriate critical value(s).
The critical value(s) is(are)
nothing.
(Round to
twotwo
decimal places as needed. Use a comma to separate answers as needed.)Since the test statistic
falls
does not fall
in the rejection region,
do not reject
reject
Upper H 0H0.
There is
sufficient
insufficient
evidence to conclude that the mean of population 1 is less than the mean of population 2.b) The p-value is
nothing.
(Round to three decimal places as needed.)
Since the p-value is
less than
greater than
equal to
alpha,
reject
do not reject
Upper H 0H0.
There is
sufficient
insufficient
evidence to conclude that the mean of population 1 is less than the mean of population 2.
Consider the hypothesis statement shown below usingalphaequals=0.01
and the data to the right from two independent samples.Upper H 0 : mu 1 minus mu 2 greater than or equals 0H0: 120
Upper H 1 : mu 1 minus mu 2 less than 0H1: 12<0
a) Calculate the appropriate test statistic and interpret the result.
b) Calculate the p-value and interpret the result.
x overbarx1
equals=
126
x overbarx2
equals=
139
sigma1
equals=
39
sigma2
equals=
32
n1
equals=
35
n2
equals=
40
Explanation / Answer
The statistical software output for this problem is:
Two sample Z summary hypothesis test:
1 : Mean of population 1 (Std. dev. = 39)
2 : Mean of population 2 (Std. dev. = 32)
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 < 0
Hypothesis test results:
Hence,
a) Test statistic = -1.56
Critical value = -2.33
Since the test statistic does not fall in rejection region, do not reject Ho.
There is insufficient evidence to conclude that the mean of population 1 is less than the mean of population 2.
b) p - value = 0.059
Since the p - value is greater than alpha, do not reject Ho.
There is insufficient evidence to conclude that the mean of population 1 is less than the mean of population 2.
Difference n1 n2 Sample mean Std. err. Z-stat P-value 1 - 2 35 40 -13 8.3100627 -1.5643685 0.0589Related Questions
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