Upper H 2 versus Upper H1 2 a simple random sample of size n 17 statistics assignment help
To test Upper H0​: μ=20 versus Upper H1​: μ< 20, a simple random sample of size n =17 is obtained from a population that is known to be normally distributed. Answer parts​ (a)-(d).
Please look at the t-Distribution Area in Right Tail table that I attached to this question.
(a) If xÌ… = 18.2 and s = 4.3, compute the test statistic.
t = __
​(Round to two decimal places as​ needed.)
(b) Draw a​ t-distribution with the area that represents the​ P-value shaded.
(c)
​Approximate the​ P-value. Choose the correct range for the​ P-value below.
(insert here) < P-value
<
(insert here)
<
(insert here)
(d) If the researcher decides to test this hypothesis at the
α
=
0.05
level of​ significance, will the researcher reject the null​ hypothesis?
α
=
0.05
level of​ significance, will the researcher reject the null​ hypothesis?
A) The researcher will not reject the null hypothesis since the P-value is not less than α.
B)
The researcher will reject the null hypothesis since the
​ P-value is not less than
alpha α.
The researcher will reject the null hypothesis since the
​ P-value is not less than
alpha α.
C)
The researcher will not reject the null hypothesis since the
​ P-value is less than
alpha α.
The researcher will not reject the null hypothesis since the
​ P-value is less than
alpha α.
The researcher will reject the null hypothesis since the P-value is less than
α.
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