Probability:
A geologist believes the rate of finding a good water well on property is 15 wells in every 100 acres of
land. A land owner of 5 acres needs a well. What is the sample space for this “experiment”. Write
out the collection of outcomes that forms the event for each question below.
What is the probability that the land owner will find exactly 1 well?
What is the probability the land owner will find no wells?
What is the probability the land owner will find at least 1 well?
What is the probability the land owner will find more than 1 well?
Proportions:
Animal Health does a survey of 200 dogs in Santa Cruz County. 128 dogs of the sample were found to
have eaten ice cream in the preceding 12 months.
Conduct hypothesis test as to whether more than half of all dogs in Santa Cruz eat ice cream use an
α=.05.
Include in the hypothesis test
The hypotheses
What assumptions must be met
Which distribution is used and why, and two or one-tail (which?), and degrees of freedom
The critical value(s)
A drawing
What the level of significance means
The test statistics
The conclusion and why
The p-value with a conclusion and why (if possible)
The conclusion stated in English
A survey of 350 dogs in Santa Clara County had 170 who had eaten ice cream.
Conduct hypothesis test as to whether more dogs in Santa Cruz eat ice cream than in Santa Clara.
Difference in Population Mean
Following are samples of the weight of chocolate kisses manufactured.
Sample 1 of Kisses:
Sample 2 of Kisses:
5.14
5.11
5.02
4.81
5.04
5.09
5.05
5.01
4.96
5.03
5.06
5.04
5.00
4.97
4.97
5.04
4.74
5.00
5.16
4.98
Conduct hypothesis test as to whether the standard deviation of machine 2 is different than machine 1.
Do the test as independent samples. Then do the test as a match pair of data.