Find the p-value for each of these situations. Be sure to take into account whet

Question

Find the p-value for each of these situations. Be sure to take into account whether the test is left sided, right sided, or two sided.

Note that when testing the value of a single population mean (rather than a difference in means), degrees of freedom are df = n - 1.

e. H0: 1 - 2 = 0
    HA: 1 - 2 0.
    df = 21
    t-statistic = 1.81
    p-value = ?

if possible step by step insstructions with a TI84 would be greatly appreciated and a explanation on each step- I.E. why you are using 1000 and -1000 as inputs. Thanks

d. H0: = 810
    HA: > 810
    n = 126
    t-statistic = 2.37
    p-value = ?

e. H0: = 1525
    HA: < 1525
    n = 68
    t-statistic = -2.01
    p-value = ?

f. H0: = 4000
    HA: 4000.
    n = 26
    t-statistic = -2.19
    p-value =?

Explanation / Answer

c)

df = 21

test statistics = 1.81

Since alternative hypothesis is 1 - 2 0, this is two tailed test.

p value = 0.0846

d)

n = 126,

df = n-1 = 125

test statistics = 2.37

Since alternative hypothesis is > 810 , this is right tailed test

p value = 0.00966

e)

n = 68,

df = n-1 = 67

test statistics = -2.01

Since alternative hypothesis is < 1525 , this is left taild test.

p value = 0.02423

f)

n = 26,

df = n-1 = 25

test statistics = -2.19

Since alternative hypothesis is 4000., this is two tailed test

p value is 0.0381

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