Question

9-5 Consider the following hypotheses:

*H*_{0}*: μ* = 73

*H _{A}: μ* ≠ 73

Find the *p*-value for this test based on the following
sample information. **(You may find it useful to reference
the appropriate table:** z table **or** t
table**)**

**a.** x¯x¯ = 70; *s* = 6.9; *n* =
35

- 0.05
*p*-value < 0.10 - 0.02
*p*-value < 0.05 *p*-value 0.10-
*p*-value < 0.01 - 0.01
*p*-value < 0.02

**b.** x¯x¯ = 76; *s* = 6.9; *n* =
35

- 0.01
*p*-value < 0.02 -
*p*-value < 0.01 *p*-value 0.10- 0.05
*p*-value < 0.10 - 0.02
*p*-value < 0.05

**c.** x¯x¯ = 70; *s* = 6.4; *n* =
19

- 0.02
*p*-value < 0.05 -
*p*-value < 0.01 - 0.01
*p*-value < 0.02 *p*-value 0.10- 0.05
*p*-value < 0.10

**d.** x¯x¯ = 70; *s* = 6.4; *n* =
24

*p*-value 0.10-
*p*-value < 0.01 -
0.01

*p*-value < 0.02 - 0.05
*p*-value < 0.10 - 0.02
*p*-value < 0.05

Answer #1

Consider the following hypotheses:
H0: μ ≤ 350
HA: μ > 350
Find the p-value for this test based on the following sample
information. (You may find it useful to reference the appropriate
table: z table or t table)
a. x¯x¯ = 363; s = 29; n =
18
( ) p-value < 0.01
( ) p-value 0.10
( ) 0.01 p-value < 0.025
( ) 0.05 p-value < 0.10
( ) 0.025 p-value < 0.05
b. x¯ = 363;...

Consider the following hypotheses: H0: μ = 61 HA: μ ≠ 61
Approximate the p-value for this test based on the following sample
information. Use Table 2. a. x¯ = 58; s = 10.3; n = 10 0.20 <
p-value < 0.40 0.10 < p-value < 0.20 0.05 < p-value
< 0.10 p-value < 0.05 p-value Picture 0.4 b. x¯ = 64; s =
10.3; n = 10 0.20 < p-value < 0.40 0.10< p-value < 0.20
0.05 < p-value...

9-12 Consider the following hypotheses:
H0: μ = 33
HA: μ ≠ 33
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)
38
31
34
36
33
38
28
a. Find the mean and the standard deviation.
(Round your answers to 2 decimal
places.)
b. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final...

Exercise 9-13 Algo
Consider the following hypotheses:
H0: μ ≤ 73.0
HA: μ > 73.0
A sample of 51 observations yields a sample mean of 74.3. Assume
that the sample is drawn from a normal population with a population
standard deviation of 3.7. (You may find it useful to
reference the appropriate table: z table
or t table)
a-1. Find the p-value.
0.01 p-value < 0.025
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01...

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 hypotheses: H0: μ ≤ 12.6 HA: μ >
12.6
A sample of 25 observations yields a sample mean of 13.4. Assume
that the sample is drawn from a normal population with a population
standard deviation of 3.2. (You may find it useful to reference the
appropriate table: z table or t table)
a-1. Find the p-value. p-value < 0.01 0.01 ≤ p-value <
0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥
0.10...

Consider the following hypotheses:
H0: μ ≤ 430
HA: μ > 430
Find the p-value for this test based on the following
sample information.
a. x⎯⎯x¯ = 443; s = 46; n =
13
b. x⎯⎯x¯ = 443; s = 46; n =
26
c. x⎯⎯x¯ = 443; s = 33; n =
19
d. x⎯⎯x¯ = 441; s = 33; n =
19

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 hypotheses:
H0: σ2 = 210
HA: σ2 ≠ 210
Find the p-value based on the following sample
information, where the sample is drawn from a normally distributed
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
p-value < 0.01
c. Which of the above...

Consider the following competing hypotheses: H0: ρxy = 0 HA: ρxy
≠ 0
The sample consists of 29 observations and the sample
correlation coefficient is 0.48. [You may find it useful to
reference the t table.]
a-1. Calculate the value of the test statistic. (Round
intermediate calculations to at least 4 decimal places and final
answer to 3 decimal places.)
a-2. Find the p-value. p-value 0.10 0.05 p-value < 0.10 0.02
p-value < 0.05 0.01 p-value < 0.02 p-value <...

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