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# Hypothesis testing : T test

32. What probability value would be needed to complete the following probability distribution?
x -5 -1 0 1 4
P(x) 0.13 0.25 0.12 0.30

25. An apartment building has the following apartments:
1 bedroom 2 bedroom 3 bedroom
1st floor 3 1 1
2nd floor 2 2 2
3rd floor 1 4 1
If an apartment is selected at random, what is the probability that it is not a 2 bedroom apartment on the 3rd floor?
26. A coin is tossed 4 times. Find the probability that the 5th toss is a tail, given that the first 4 tosses were all tails.
.
44.

Assume that a 90% confidence interval for the mean is (14.0, 16.0). Then a hypothesis test of = 13.0 at 0.10 would result in

A) Rejecting the null hypothesis because 13.0 is less than 14.0
B) Accepting the null hypothesis because 13.0 is less than 16.0
C) Accepting the null hypothesis because 16.0 is more than 14.0
D) There is insufficient information to make any conclusions about the hypothesis test

#### Solution Preview

Solution is attached.

32. What probability value would be needed to complete the following probability distribution?
x -5 -1 0 1 4
P(x) 0.13 0.25 0.12 0.30

For a probability distribution, we have

Thus the P(X=1) = 1-P(X=-5)-P(X=-1)-P(X=0)-P(X=4) = 1-0.80 =0.20

25. An apartment building has the following apartments:
1 bedroom 2 bedroom 3 bedroom
1st floor 3 1 1
2nd ...

#### Solution Summary

Step by step method for computing test statistic t test I s given in the answer.

\$2.19