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Consider the hypothesis statement to the right. sequals=3.4, nequals=27, alphaeq

ID: 3318718 • Letter: C

Question

Consider the hypothesis statement to the right.

sequals=3.4,

nequals=27,

alphaequals=0.05.

Upper H 0H0:

sigma squared2less than or equals8.0

Upper H 1H1:

sigma squared2greater than>8.0

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Click the icon to view a table of chi-square critical values.

Calculate the appropriate test statistic.

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

Do not reject

Reject

the null hypothesis. There is

insufficient

sufficient

evidence that the population variance is

greater than

less than

different from

8.0

Consider the hypothesis statement to the right.

State your conclusion given that

sequals=3.4,

nequals=27,

and

alphaequals=0.05.

Upper H 0H0:

sigma squared2less than or equals8.0

Upper H 1H1:

sigma squared2greater than>8.0

Explanation / Answer


Method

Null hypothesis         -squared = 8
Alternative hypothesis -squared > 8

The chi-square method is only for the normal distribution.
The Bonett method cannot be calculated with summarized data.


Statistics

N StDev Variance
27   3.40      11.6


95% One-Sided Confidence Intervals

            Lower
            Bound
              for   Lower Bound
Method      StDev for Variance
Chi-Square   2.78           7.7


Tests

                 Test
Method      Statistic DF P-Value
Chi-Square      37.57 26    0.066

since p-value < 0.05

TS = 37.57

critical value = 38.9

Do not reject

insuffcient

greater than