Question

Consider the hypothesis statement to the right using alpha equals0.10 and the data to the right...

Consider the hypothesis statement to the right using

alpha

equals0.10

and the data to the right from two independent samples.

​a) Calculate the appropriate test statistic and interpret the result.

​b) Calculate the​ p-value and interpret the result.

Click here to view page 1 of the standard normal table.

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Click here to view page 2 of the standard normal table.

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H0​:

mu

1minusmu2less than or equals

0

H1​:

mu

1minusmu2greater than

0

x overbar

1

equals

87

x overbar

2

equals

76

sigma

1

equals

22

sigma

2

equals

17

n1

equals

55

n2

equals

60

​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

two

decimal places as needed. Use a comma to separate answers as​ needed.)

Since the test statistic

falls

does not fall

in the rejection​ region,

reject

do not reject

Upper H 0

.

There is

insufficient

sufficient

evidence to conclude that the mean of population 1 is greater 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 0

.

There is

sufficient

insufficient

evidence to conclude that the mean of population 1 is less than the mean of population 2.

0 0
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