A sımple random sample of Size n= 15 is drawn from a population that is normally distributed. The sample mean is found to be x =27.1 and sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho: 24 24 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject H, because the P-value is less than the a = 0.01 level of significance. O B. Reject H, because the P-value is greater than the a = 0.01 level of significance. O C. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance. O D. Do not reject Ho because the P-value is less than the a = 0.01 level of significance. (d) State the conclusion in context of the problem. There V sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 24.
A sımple random sample of Size n= 15 is drawn from a population that is normally distributed. The sample mean is found to be x =27.1 and sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho: 24 24 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject H, because the P-value is less than the a = 0.01 level of significance. O B. Reject H, because the P-value is greater than the a = 0.01 level of significance. O C. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance. O D. Do not reject Ho because the P-value is less than the a = 0.01 level of significance. (d) State the conclusion in context of the problem. There V sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 24.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Related questions
Question
A simple random sample of size
nequals
15
is drawn from a population that is normally distributed. The sample mean is found to be
x overbar
equals27.1
and the sample standard deviation is found to be
sequals
6.3
.
Determine if the population mean is different from
24
at the
alpha equals 0.01
Question content area bottom
Part 1
(a) Determine the null and alternative hypotheses.
Upper H 0
:
▼
p
sigma
mu
▼
less than
greater than
equals
not equals
24
Upper H 1
:
▼
p
sigma
mu
▼
not equals
greater than
equals
less than
24
Part 2
(b) Calculate the P-value.
P-valueequals
enter your response here
(Round to three decimal places as needed.)
Part 3
(c) State the conclusion for the test.
A.
Reject
Upper H 0
because the P-value is
less than
the
alpha
equals0.01
B.
Reject
Upper H 0
because the P-value is
greater than
the
alpha
equals0.01
C.
Do not reject
Upper H 0
because the P-value is
greater than
the
alpha
equals0.01
D.
Do not reject
Upper H 0
because the P-value is
less than
the
alpha
equals0.01
Part 4
(d) State the conclusion in context of the problem.
There
sufficient evidence at the
▼
is
is not
alpha equals 0.01
level of significance to conclude that the population mean is different from
24
Transcribed Image Text:A simple random sample of size n= 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.1 and
sample standard deviation is found to bes = 6.3. Determine if the population mean is different from 24 at the a = 0.01 level of significance.
Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
24
H1:
V24
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
O A. Reject Ho because the P-value is less than the a = 0.01 level of significance.
B. Reject Ho because the P-value is greater than the a = 0.01 level of significance.
C. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance.
D. Do not reject H, because the P-value is less than the a = 0.01 level of significance.
(d) State the conclusion in context of the problem.
There
sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 24.
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