To test H 1 versus H1 1 statistics assignment help

To test H0​: μ = 100 versus H1​: μ â‰  100, a simple random sample of size n =19 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.

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(a) If xÌ… = 105.2 and s = 9.5, compute the test statistic.

t = __​  (Round to three decimal places as​ needed.)

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(b) If the researcher decides to test this hypothesis at the Î± 0.01 level of​ significance, determine the critical values.

The critical values are

 ___ , ___

​(Use a comma to separate answers as needed. Round to three decimal places as​ needed.)


(c)

Draw a​ t-distribution that depicts the critical​ region(s)


(d) Will the researcher reject the null hypothesis?

A) There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic

is between the critical values. 
B) The 
researcher will reject the null hypothesis since the test statistic is between the critical values. 
C) 
The researcher will 
reject the null hypothesis since the test statistic 
is
 not
between 
the critical values. 
D) 
There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.

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