(CO 5) An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 mil
1 answer:
Answer:
z=0.5084
p=0.2809
Step-by-step explanation:
Since number of tires tested for breaking distance is enough (>30), the standardized test statistic is calculated by the formula:
z= where
- X is the mean breaking distance in the sample (78)
- M is the mean breaking distance (75)
- s is the standard deviation (5.9)
- N is the sample size
Putting the numbers in the formula:
z= =0.5084 and corresponding p value is:
p=0.28
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Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula . Plugging in the numbers you get
=1.7748.