Question

In a test of H0: LaTeX: \mu μ = 10.8 against LaTeX: H_A H A : LaTeX: \mu μ < 10.8, the sample data with sample size 20 from a normal distribution yielded a test statistic Tobs = -2.09. Bracket the p-value for the test.

Group of answer choices

A) 0.01 < p-value < 0.025

B) 0.05 < p-value < 0.10

C) 0.01 < p-value < 0.005

D) 0.025 < p-value < 0.05

Answer #1

**Answer :**

**We have given :**

n = sample size = 20

μ = population mean = 10.8

**To test** : Ho : μ = 10.8 VS H1 : μ < 10.8

( it is left tailed test : one tailed test )

**Test statistics** : t = -2.09

**df** = degree of freedom = ( n -1 ) = 19

p value = P [ t < -2.03 ] ( use statistical table )

**p value = 0.02515 **

**### Group of answer choices**

**D) 0.025 < p-value < 0.05**

**## Decision** : we reject Ho if p value is less
than alpha value using p value approach here p value is less than
alpha value ( assume alpha = 0.05 ) we reject Ho .

**## Conclusion** : There is
**sufficient** evidence to conclude that population
mean is less than 10.8 .

at 5 % level of significance .

Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper
H Subscript a Baseline : mu less than 20Ha: μ<20 where μ
is the mean number of latex gloves used per week by all
hospital employees, based on the summary statistics n=43,
x=19.3, and s=11.1
Complete parts a and b.
a. Compute the p-value of the test.
b. Compare the p-value with α=0.05 and make the appropriate
conclusion. Choose the correct answer below.
There is sufficient evidence to...

Question 1
The p-value of a test H0: μ= 20 against the
alternative Ha: μ >20, using a sample of
size 25 is found to be 0.3215.
What conclusion can be made about the test at 5% level of
significance?
Group of answer choices
Accept the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is significant
Question 2
As reported on the package of seeds,...

Calculate the test statistic that would be used to test H_o: μ =
4.9 against H_a: μ > 4.9 if a random sample of size 31 from a
normal distribution has a mean of 5.18 and a standard deviation of
1.167
A. .75
B. 1.33
C. -.24
D. -1.33
E. -.75
F. 7.44
The test statistic for a test of H_o: μ = 55 against H_a: μ ≠ 55
is t* = 1.908. The sample size is 22. How many...

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;...

Given Upper H 0 H0: mu μ equals =25, Upper H Subscript a Ha:
mu μ not equals ≠25, and P equals = 0.023 0.023. Do you reject or
fail to reject Upper H 0 H0 at the 0.01 level of significance?

Consider testing H0: μ=20 against Ha: μ<20 where μ is the
mean number of latex gloves used per week by all hospital
employees, based on the summary statistics n=43, overbar x = 19.1,
and s=11.2 Complete parts a and b.
a. Compute the p-value of the test.
The p-value of the test is .2991. (Round to four
decimal places as needed.)
b. Compare the p-value with α=0.01 and make the appropriate
conclusion. Choose the correct answer below.
a)There is sufficient evidence...

To test Upper H 0: mu equals20 versus Upper H 1: mu less
than20, a simple random sample of size n=17 is obtained from a
population that is known to be normally distributed.
(a) If
x overbar x equals=18.1
and s equals=4.1,
compute the test statistic.
t equals=−1.91
(Round to two decimal places as needed.)
c) Approximate the P-value. Choose the correct range for the
P-value below.
A. 0.10 less than Upper P dash value less than 0.15
B. 0.15...

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 testing H0: μ=20 against Ha: μ<20 where μ is the
mean number of latex gloves used per week by all hospital
employees, based on the summary statistics n=45, x=19.3, and
s=11.1
Complete parts a andb.
a. Compute the p-value of the test.
The p-value of the test is ?
(Round to four decimal places as needed.)

Consider the following hypotheses: H0: μ ≤ 76.7 HA: μ > 76.7
A sample of 41 observations yields a sample mean of 78.0. Assume
that the sample is drawn from a normal population with a population
standard deviation of 4.4. (You may find it useful to reference the
appropriate table: z table or t table) a-1. Find the p-value. 0.05
p-value < 0.10 p-value 0.10 p-value < 0.01 0.01 p-value <
0.025 0.025 p-value < 0.05 a-2. What is the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour 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