Consider the hypothesis statement to the right. sequals=1.1, nequals=27, alphaeq
ID: 3318716 • Letter: C
Question
Consider the hypothesis statement to the right.
sequals=1.1,
nequals=27,
alphaequals=0.05
Upper H 0H0:
sigma squared2greater than or equals3.0
Upper H 1H1:
sigma squared2less than<3.0
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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.)
Reject
Do not reject
the null hypothesis. There is
insufficient
sufficient
evidence that the population variance is
less than
different from
greater than
3.0
Consider the hypothesis statement to the right.
State your conclusion given thatsequals=1.1,
nequals=27,
andalphaequals=0.05
Upper H 0H0:
sigma squared2greater than or equals3.0
Upper H 1H1:
sigma squared2less than<3.0
Explanation / Answer
The statistical software output for this problem is:
One sample variance summary hypothesis test:
2 : Variance of population
H0 : 2 = 3
HA : 2 < 3
Hypothesis test results:
Hence,
Test statistic = 10.49
Critical value = 15.379
Reject; Sufficient; Less than
Variance Sample Var. DF Chi-square Stat P-value 2 1.21 26 10.486667 0.003