9 10 points Exercise 1449 Deer mice The sample of 14 deer mi

9. (10 points) Exercise 14.49 Deer mice. The sample of 14 deer mice in Exercise 14.35 had an average body length =91.1 mm. Do forest deer mice on the average differ significantly in body length from the general deer mouse population (which is known to have mean =86 mm)? Assume that the standard deviation of all deer mice in this area is also 8 mm. Follow the four-step process, as illustrated in Example 14.9, in your answer.

Solution

Set Up Hypothesis
Null Hypothesis H0: U=86
Alternate, deer mice on the average differ significantly in body length from the general deer H1: U!=86
Test Statistic
Population Mean(U)=86
Given That X(Mean)=91.1
Standard Deviation(S.D)=8
Number (n)=14
we use Test Statistic (Z) = x-U/(s.d/Sqrt(n))
Zo=91.1-86/(8/Sqrt(14)
Zo =2.3853
| Zo | =2.3853
Critical Value
The Value of |Z | at LOS 0.05% is 1.96
We got |Zo| =2.3853 & | Z | =1.96
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value : Two Tailed ( double the one tail ) - Ha : ( P != 2.3853 ) = 0.0171
Hence Value of P0.05 > 0.0171, Here we Reject Ho

We cliam that deer mice on the average differ significantly in body length from the general deer