Question

n = 23 H0: σ2 ≥ 66 s2 = 60 Ha: σ2 < 66 If the test is to be performed at 95% confidence, the critical value(s) from the table is(are) _____. a. 33.9244 b. 12.3380 c. 43.7729 d. 10.9823 and 36.789

Answer #1

We have here,

Sample size =n=23

Degree of freedom =n-1=23-1=22

Chi square critical value for left tailed test =12.3380..............by using table or Excel =CHIINV(1-0.05,22)

b. 12.3380 |

Consider the following. n = 22, x = 126.4, s2 = 21.7, Ha: σ2
> 15, α = 0.05 Test H0: σ2 = σ02 versus the given alternate
hypothesis.
State the test statistic. (Round your answer to two decimal
places.)
χ2 =
State the rejection region. (If the test is one-tailed, enter
NONE for the unused region. Round your answers to two decimal
places.)
χ2 >
χ2 <
Construct a (1 − α)100% confidence interval for σ2
using the χ2...

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n = 22, x = 126.2,
s2 = 21.5,
Ha: σ2 > 15,
α = 0.05
Test H0: σ2 =
σ02 versus the given alternate
hypothesis.
State the test statistic. (Round your answer to two decimal
places.)
χ2 =
State the rejection region. (If the test is one-tailed, enter
NONE for the unused region. Round your answers to two decimal
places.)
χ2
>
χ2
<
Construct a (1 − α)100% confidence interval for σ2
using the χ2...

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Consider the following hypotheses:
H0: σ2 = 210
HA: σ2 ≠ 210
Find the p-value based on the following sample
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population.
a. s2= 281; n =
34
The p-value is___________.
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
b. s2= 139; n =
34
The p-value is___________.
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
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HA: μ ≠ 23
The population is normally distributed. A sample produces the
following observations: (You may find it useful to
reference the appropriate table: z table
or t table)
26
25
23
27
27
21
24
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(Round your answers to 2 decimal
places.)
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(Round intermediate calculations to at least 4 decimal...

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a.
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Use a 1% level of significance to determine the critical
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Critical value(s)
±
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...

A random sample of size n=25 from N(μ, σ2=6.25)
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