Do im harris C https//www.mathxl.com/Student/PlayerHom -3757529&centerem; . tim

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Do im harris C https//www.mathxl.com/Student/PlayerHom -3757529&centerem; . tim harris 4/18/16 323 Homework: Z and T Inferences Sa Score: 0.2 of 1 pt 8 of 10 (5 complete) HW Score: 44%, 4.4 of 10 8.4.13-T Question Help Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses test statistic, P-value, and state the final conclusion that addresses the original claim. A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 34 coins was collected. Those coins have a mean weight of 2.49621 g and a standard deviation of 0.01655 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint? What are the hypotheses? OB, Ho: = 2.5 g

Explanation / Answer

Set Up Hypothesis
Null, H0: U=2.5
Alternate, H1: U!=2.5
Test Statistic
Population Mean(U)=2.5
Sample X(Mean)=2.49621
Standard Deviation(S.D)=0.01655
Number (n)=34
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =2.49621-2.5/(0.01655/Sqrt(34))
to =-1.335
| to | =1.335
Critical Value
The Value of |t | with n-1 = 33 d.f is 2.035
We got |to| =1.335 & | t | =2.035
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
P-Value :Two Tailed ( double the one tail ) -Ha : ( P != -1.3353 ) = 0.1909
Hence Value of P0.05 < 0.1909,Here We Do not Reject Ho

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