Question

**Question 1**

Consider the following hypothesis test.

*H _{0}: _{1}
- _{2}*= 0

The following results are from independent samples taken from two populations.

Sample 1 |
Sample 2 |

n _{1} = 35 |
n _{2} = 40 |

x _{1} = 13.6 |
x _{2} = 10.1 |

s _{1} = 5.5 |
s _{2} = 8.2 |

**a.** What is the value of the test statistic (to
2 decimals)?

**b.** What is the degrees of freedom for the
*t* distribution? (Round down your answer to the whole
number)

**c.** What is the *p*-value? Use
*z*-table.

The area in the upper tail is Select (less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10between .10 and .20greater than .20Item 3) two-tailed p-value is between Select (less than .01between .01 and .02between .02 and .05between .05 and .1between .1 and .20between .20 and 40greater than .40)

**d.** At = .05, what is your
conclusion?

*p*-value is Select (greater than or equal to 0.05,
rejectgreater than 0.05, do not rejectless than or equal to 0.05,
rejectless than 0.05, do not rejectequal to 0.05, rejectnot equal
to 0.05, reject)

**Question 2**

Consider the following hypothesis test.

*H _{0}: _{1}
- _{2}*≤ 0

The following results are for two independent samples taken from the two populations.

Sample 1 |
Sample 2 |

n _{1} = 40 |
n _{2} = 60 |

x _{1} = 25.5 |
x _{2} = 22.8 |

σ _{1} = 5.8 |
σ _{2} = 6 |

**a.** What is the value of the test statistic
(round to 2 decimals)?

**b.** What is the *p*-value (round to 4
decimals)? Use *z*-table. Use *z*-value rounded to 2
decimal places.

**c.** With = .05, what is your
hypothesis testing conclusion?

*p*-value is Select (greater than or equal to 0.05,
rejectgreater than 0.05, do not rejectless than or equal to 0.05,
rejectless than 0.05, do not rejectequal to 0.05, rejectnot equal
to 0.05, reject)

Answer #1

Consider the following hypothesis test.
H0: 1
- 2≤ 0
Ha: 1
- 2> 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n 1 = 30
n 2 = 70
x 1 = 25.6
x 2 = 22.2
σ 1 = 5.3
σ 2 = 7
a. What is the value of the test statistic
(round to 2 decimals)?
b. What is the p-value (round to 4
decimals)? Use z-table. Use z-value rounded to...

Consider the following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2
> 0 The following results are for two independent samples taken
from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 =
25.2 x2 = 22.8 σ1 = 5.2 σ2 = 6.0 a. What is the value of the test
statistic (round to 2 decimals)? b. What is the p-value (round to 4
decimals)? Use z-table. c. With = .05,...

Consider the following hypothesis test: H0: u = 15 Ha: u ≠
15
A sample of 40 provided a sample mean of 14.17. The population
standard deviation is 5. Enter negative value as negative
number.
a. Compute the value of the test statistic (to 2 decimals).
b. What is the p-value (to 4 decimals)?
c. Using , can it be concluded that the
population mean is not equal to 15?
answer the next questions using the critical value approach.
d....

Consider the
hypothesis test below. ho: p1-p2 <=0
ha: p1-p2>0
The following results
are for independent samples taken from the two populations.
Sample 1
Sample 2
n1 200
n2 300
p-bar 0.24
p-bar 0.17
Use pooled estimator of.
a. What is the value of the test statistic (to 2
decimals)?
b. What is the -value (to 4 decimals)?
c. With , what is your hypothesis testing
conclusion?
- Select your answer -Conclude the difference between the
proportions is greater than...

Consider the following hypothesis test:
H0 : u >= 20
Ha : u < 20
A sample of 45 provided a sample mean of 19.6. The population
standard deviation is 2.
a. Compute the value of the test statistic (to
2 decimals). Enter negative value as negative number.
b. What is the p-value (to 3 decimals)?
c. Using a=.05 can it be concluded that the
population mean is less than 20?
d. Using , what is the critical value for...

Consider the following hypothesis test:
H0: ≤ 26
Ha: > 26
A sample of 40 provided a sample mean of 27.4. The population
standard deviation is 5.
a. Compute the value of the test statistic (to 2 decimals).
b. What is the p-value (to 4 decimals)?
c. At = .01, what is your conclusion? p-value is H0
d. What is the rejection rule using the critical value?
Reject H0 if z is
What is your conclusion?

1. Consider this hypothesis test:
H0: p1 - p2 = 0
Ha: p1 - p2 > 0
Here p1 is the population proportion of “yes” of
Population 1 and p2 is the population proportion of
“yes” of Population 2. Use the statistics data from a simple random
sample of each of the two populations to complete the following:
(8 points)
Population 1
Population 2
Sample Size (n)
400
600
Number of “yes”
300
426
Compute the test statistic z.
What...

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 5.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNo
Answer the next three questions using the critical value
approach.
d. Using α...

Consider the following hypothesis test:
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.18. The population
standard deviation is 6.
a. Compute the value of the test statistic (to
2 decimals).
b. What is the p-value (to 4
decimals)?
c. Using α = .05, can it be concluded that the
population mean is not equal to 15? SelectYesNoItem 3
Answer the next three questions using the critical value
approach.
d. Using...

Consider the following hypothesis test.
H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n1 = 40
n2 = 50
x1 = 25.7
x2 = 22.8
σ1 = 5.7
σ2 = 6
(a)
What is the value of the test statistic? (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)...

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