Question

Using this data, Implement the following hypothesis test:

*H*_{0}: μ = 7.53

*H*_{1}: μ ≠ 7.53

DATA:

4.83

1.18

3.43

-0.36

4.01

7.35

14.63

8.86

6.25

6.47

8.84

5.8

2.6

10.44

A) Compute x

B) Compute *S*

C) Compute *t*_{0}

D) Find *t*_{α/2,n-1} for a confidence
levelof α = 0.05

E) Based on *t*_{0}
and*t*_{α/2,n-1}, would you reject
*H*_{0}?

F) What is the P-value for your *t*_{0}?

Answer #1

Solution:

a) For computing we have to first input all data in excel and use command ,

=AVERAGE( data_range )

Mean = = 6.02

B) For standard deviation use command in excel,

=STDEV( data_range )

S = 3.92

C)

The t-statistic is computed as follows:

−1.441

D) Based on the information provided, the significance level is
*α* = 0.05, and the critical value for a two-tailed test is
*t**c* =2.16.

E) Since it is observed that |t| = 1.441 ≤ *t**c*
= 2.16, it is then concluded that *the null hypothesis is not
rejected*

*F)* The p-value is p = 0.1732 ...........Using excel,
=TDIST(1.44,13,2)

Done

Suppose that we are to conduct the following hypothesis test:
H0: μ = 1080 , H1:μ >1080
Suppose that you also know that σ=240, n=100, x¯=1125.6, and
take α=0.005. Draw the sampling distribution, and use it to
determine each of the following:
A. The value of the standardized test statistic:
1.9 Note: For the next part, your answer should use interval
notation. An answer of the form (−∞,a) is expressed (-infty, a), an
answer of the form (b,∞) is expressed (b,...

Consider the following hypothesis test: H0: μ ≤ 12 H1: μ > 12
A sample of 25 provided a sample mean of 13 and a sample standard
deviation s = 4.52. Use α = 0.01. Step 2 of 3: What is the p-value
for your test?

Suppose that we are to conduct the following hypothesis
test:
H0: μ=990
H1:μ>990
Suppose that you also know that σ=220, n=100, x¯=1031.8, and
take α=0.01.
Draw the sampling distribution, and use it to determine each of
the following:
A. The value of the standardized test statistic:
Note: For the next part, your answer should use interval
notation.
An answer of the form (−∞,a) is expressed (-infty, a), an answer
of the form (b,∞) is expressed (b, infty), and an answer...

Find the p-value for the following hypothesis test.
H0:u = 20, H1:μ≠ 20, n = 64, x = 18.75, o = 4.8
Round your answer to four decimal places.
P=?????

Find the p-value for the following hypothesis test. H0: μ=20,
H1: μ≠20, n=64, x¯=19.00, σ=5.6 Round your answer to four decimal
places.

Find the p-value for the following hypothesis test.
H0: μ=19, H1: μ≠19, n=49, x¯=17.25, σ=5.6
Round your answer to four decimal places.
P=???

Find the p-value for the following hypothesis test.
H0: μ=23, H1:
μ≠23, n=64, x¯=21.00, σ=6.4
Round your answer to four decimal places.
p=

Find the p-value for the following hypothesis test.
H0: μ=22, H1:
μ<22, n=100, x¯=20.75, σ=8.0
Round your answer to four decimal places.
p=

(1 point) Suppose that we are to conduct the following
hypothesis test:
H0:H1:μμ=>990990H0:μ=990H1:μ>990
Suppose that you also know that σ=240σ=240,
n=80n=80, x¯=1030.8x¯=1030.8, and take
α=0.01α=0.01. Draw the sampling distribution, and use it
to determine each of the following:
A. The value of the standardized test statistic:
Note: For the next part, your answer should use
interval notation. An answer of the form (−∞,a)(−∞,a) is
expressed (-infty, a), an answer of the form (b,∞)(b,∞) is
expressed (b, infty), and an answer...

(1 point) Suppose that you are to conduct the following
hypothesis test:
H0:H1:μμ=≠510510H0:μ=510H1:μ≠510
Assume that you know that σ=90σ=90, n=42n=42, x¯=487.5x¯=487.5,
and take α=0.1α=0.1. Draw the sampling distribution, and use it to
determine each of the following:
A. The value of the standardized test statistic:
Note: For the next part, your answer should use
interval notation. An answer of the form (−∞,a)(−∞,a) is expressed
(-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b,
infty), and an answer of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 23 minutes ago

asked 36 minutes ago

asked 45 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago