Question

In: Statistics and Probability

The one-sample t statistic for testing H0: μ = 10 Ha: μ > 10 from a...

The one-sample t statistic for testing

H0: μ = 10

Ha: μ > 10

from a sample of n = 22 observations has the value t = 1.83.

What are the degrees of freedom for this statistic?

    Answer: ________

Give the two critical values t* from the t distribution critical values table that bracket t.
Answer: ______< t < ______


         (C) Is the value t = 1.83 significant at the 5% level?

              Yes

              No     

         Is it significant at the 1% level?

              Yes

              No     


         (D) If you have software available, find the exact P-value. (Round your answer to four decimal places.)

   Answer: ________

Solutions

Expert Solution

The one-sample t statistic for testing

H0: μ = 10

Ha: μ > 10

from a sample of n = 22 observations has the value t = 1.83.

What are the degrees of freedom for this statistic?

    Answer: __n-1=22-1=21______

Give the two critical values t* from the t distribution critical values table that bracket t.
Answer: ____-1.721.__< t < ___1.721.___

these critical values are at 5% level of significannce.

Give the two critical values t* from the t distribution critical values table that bracket t.
Answer: __-2.518__< t < _2.518_

these critical values are at 1% level of significannce.


         (C) Is the value t = 1.83 significant at the 5% level?

              Yes as t=1.83>1.721

  

         Is it significant at the 1% level?

  

              No as t=1.83<2.518


         (D) If you have software available, find the exact P-value. (Round your answer to four decimal places.)

   Answer: _____The P-Value is .040741.

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