Question

(Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: H0: μ ≥ 177 HA: μ < 177 A sample of 84 observations results in a sample mean of 170. The population standard deviation is known to be 24. Use Table 1. a. What is the critical value for the test with α = 0.05 and with α = 0.01? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Critical Value α = 0.05 α = 0.01 b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic b-2. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05? Yes since the value of the test statistic is less than the negative critical value. No since the value of the test statistic is not less than the negative critical value. Yes since the value of the test statistic is not less than the negative critical value. No since the value of the test statistic is less than the negative critical value. c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01? Yes since the value of the test statistic is less than the negative critical value. No since the value of the test statistic is not less than the negative critical value. Yes since the value of the test statistic is not less than the negative critical value. No since the value of the test statistic is less than the negative critical value.

Answer #1

Consider the following hypotheses: H0: μ ≥ 177 HA: μ < 177

**a. What is the critical value for the test with α = 0.05
and with α = 0.01?**

The critical value of Z at 5% significance level is -1.645

The critical value of Z at 1% significance level is -2.33

b-1. Calculate the value of the test statistic.

Under H0, the test statistic is

**b-2. Does the above sample evidence enable us to reject
the null hypothesis at α = 0.05?**

Yes since the value of the test statistic is less than the negative critical value.

**c. Does the above sample evidence enable us to reject
the null hypothesis at α = 0.01?**

Yes since the value of the test statistic is less than the negative critical value.

(Round all intermediate calculations to at least 4 decimal
places.) Consider the following hypotheses: H0: μ =208 HA: μ <
208 A sample of 74 observations results in a sample mean of 202.
The population standard deviation is known to be 26. Use Table
1
a. What is the critical value for the test with α = 0.10 and
with α = 0.01? (Negative values should be indicated by a minus
sign. Round your answers to 2 decimal places.) Critical...

(Round all intermediate calculations to at least 4
decimal places.)
Consider the following competing hypotheses and relevant summary
statistics:
H0:
σ21/σ22σ12/σ22 = 1
HA:
σ21/σ22σ12/σ22 ≠ 1
Sample 1: x¯x¯1 = 46.5, s21s12 = 19.1, and
n1 = 7
Sample 2: x¯x¯2 = 49.9, s22s22 = 17.2, and
n2 = 5
Assume that the two populations are normally distributed. Use
Table 4.
a-1.
Calculate the value of the test statistic. Remember to put the
larger value for sample variance in...

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(Round all intermediate calculations to at least 4
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Consider the following hypotheses:
H0: μ = 110
HA: μ ≠ 110
The population is normally distributed with a population
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a.
Use a 1% level of significance to determine the critical
value(s) of the test. (Round your answer to 2 decimal
places.)
Critical value(s)
±
b-1.
Calculate the value of the test statistic with x−x− = 133 and
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...

Consider the following competing hypotheses and accompanying
sample data. Use Table 1.
H0:
p1 − p2 ≥ 0
HA:
p1 − p2 < 0
x1 = 236
x2 =
254
n1 = 387
n2 =
387
a.
At the 5% significance level, find the critical value(s).
(Negative values should be indicated by a minus sign. Round
your answer to 2 decimal places.)
Critical value
b.
Calculate the value of the test statistic. (Negative
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Exercise 9-40 Algo
Consider the following hypotheses:
H0: μ ≥ 160
HA: μ < 160
The population is normally distributed. A sample produces the
following observations:
160
142
152
159
158
140
Conduct the test at the 5% level of significance. (You
may find it useful to reference the appropriate table: z
table or t table)
a. Calculate the value of the test statistic.
(Negative value should be indicated by a minus sign. Round
intermediate calculations to at least 4...

Consider the following competing hypotheses: Use Table 2.
H0: μD ≥ 0;
HA: μD < 0
d-bar = −2.3, sD = 7.5, n =
23
The following results are obtained using matched samples from
two normally distributed populations:
a.
At the 10% significance level, find the critical value(s).
(Negative value should be indicated by a minus sign. Round
intermediate calculations to 4 decimal places and final answer to 2
decimal places.)
Critical value
b.
Calculate the value of the...

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H0: μ = 23
HA: μ ≠ 23
The population is normally distributed. A sample produces the
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26
25
23
27
27
21
24
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(Round your answers to 2 decimal
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(Round intermediate calculations to at least 4 decimal...

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