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 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...

Consider the following hypotheses:
H0: μ = 110
HA: μ ≠ 110
The population is normally distributed with a population
standard deviation of 63. Use Table 1.
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
n = 80. (Round your answer to 2 decimal
places.)
...

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
value should be indicated by a...

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...

Consider the following hypotheses: H0: μ = 450 HA: μ ≠ 450 The
population is normally distributed with a population standard
deviation of 78. (You may find it useful to reference the
appropriate table: z table or t table) a-1. Calculate the value of
the test statistic with x− = 464 and n = 45. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.) a-2. What is the conclusion at the 10%
significance...

Consider the following hypotheses:
H0: μ = 23
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
a. Find the mean and the standard deviation.
(Round your answers to 2 decimal
places.)
Mean
Standard Deviation
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal...

Consider the following competing hypotheses and accompanying
sample data. Use Table 1.
H0 : P1−
P2 = 0.20
HA : P1−
P2 ≠ 0.20
x1 = 150
x2 = 130
n1 = 250
n2 = 400
a.
Calculate the value of the test statistic. (Round
intermediate calculations to at least 4 decimal places and final
answer to 2 decimal places.)
Test statistic
b.
Approximate the p-value.
p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05...

1. Consider the following hypotheses:
H0: μ = 420
HA: μ ≠ 420
The population is normally distributed with a population standard
deviation of 72.
a-1. Calculate the value of the test statistic
with x−x− = 430 and n = 90. (Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
a-2. What is the conclusion at the 1% significance
level?
Reject H0 since the p-value is less
than the significance level....

(Round all intermediate calculations to at least 4
decimal places.)
An advertisement for a popular weight loss clinic suggests that
participants in its new diet program lose, on average, more than 9
pounds. A consumer activist decides to test the authenticity of the
claim. She follows the progress of 17 women who recently joined the
weight reduction program. She calculates the mean weight loss of
these participants as 10.6 pounds with a standard deviation of 2.7
pounds. Use Table 2....

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