Use a t-test to test the claim about the population mean mu at the given level o
ID: 3129282 • Letter: U
Question
Use a t-test to test the claim about the population mean
mu
at the given level of significance
alpha
using the given sample statistics. Assume the population is normally distributed.Claim:
munot equals26
alphaequals=0.100.10
Sample statistics:
x overbarxequals=24.424.4,
sequals=4.84.8,
nequals=1111
What are the null and alternative hypotheses? Choose the correct answer below.
A.
H0:
muless than or equals26
Ha:
mugreater than>26
B.
H0:
muequals=26
Ha:
munot equals26
C.
H0:
mugreater than or equals26
Ha:
muless than<26
D.
H0:
munot equals26
Ha:
muequals=2626
What is the value of the standardized test statistic?
The standardized test statistic is
nothing .
(Round to two decimal places as needed.)
What is the P-value of the test statistic?
P-valueequals=nothing
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis.
A.
RejectReject
Upper H 0H0.
There
isis
enough evidence to support the claim.
B.
RejectReject
Upper H 0H0.
There
is notis not
enough evidence to support the claim.
C.
Fail to rejectFail to reject
Upper H 0H0.
There
isis
enough evidence to support the claim.
D.
Fail to rejectFail to reject
Upper H 0H0.
There
is notis not
enough evidence to support the claim.
Explanation / Answer
1. What are the null and alternative hypotheses?
Correct Answer: (B0
2. Test statistic
t = (xbar - mu) / SE = (24.4-26)/4.8 = -0.333
|t| -0.3333
P -value = 0.746
3. Here P value > alpha 0.10 we do not reject H0.
Correct Answer :Option (C)
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