Search & Filtering
- A result is significant at the 0.01 level. Explain why it must also be significant at the 0.05 level.
- Why is it important to report the P-value or the test statistic when presenting the results of a hypothesis test?
1. A fair die is rolled eight times. Find the probability that no more than 2
sixes come up.
2. A consulting group believes that 70% of the people in a certain city are
satisfied with their health coverage. Assuming that this is true, find the probability
that from a random sample of 15 people.
a. Exactly 10 are satisfied with their health coverage?
b. At least 2 are satisfied with their health coverage?
c. What is the expected number of people out of 15 that are satisfied with their
health coverage?
3. You observe that the number of telephone calls that arrive each day on
your mobile phone over a period of a year, and note that the average is 3 per day.
Let X be the number of calls that arrive in any one day. Then what is the probability
of receiving at most 2 calls in any one day? at least 2 calls in any one day?
A machine producing hair pins produces 1 defective out of 400 on an average. If 100 hairpins are packed in each box, what is the probability that any given box of hairpins, hairpin will contain
1)No defectives
2)At least one defective
3)At most 2 defectives
In an oil exploration in Arabic sea, suppose that the probability of an oil strike is 1 in 500 drilling. What is the probability of having exactly 1 oil producing well in 800 explorations.
No. of birthday parties observed in a class is a poisson random variable with an average of 6/month. what is the probability that there will be 3 parties in a day?
Given the mean monthly expenditure of students is RM200 with RM1O standard
deviation and the mean weight of the student body is 50 kg with a standard deviation
of 8kg. Compare the two sets of data and determine which are more scattered.
A hospital switch board receives on an average 0.9 calls/minute. Find the probability that (i) no calls in a minute, (ii) 2 or more calls/minute
construct a sampling distribution of the sample mean of the population consisting of the numbers 2 5 8 11 and 14 considering a sample size of 2
Super 6 is one such game. In the game a player selects 6 numbers from 1 – 28. If you match all 6 numbers, you win the Jackpot. If you match 5 out of the 6 numbers, you win $500. If you match 4 out of the 6 numbers, you win $25. There is a separate chamber where you must select 1 of 15 letters from A – O. If you match the correct letter, you win a free ticket.
a) How many possible combinations are there for matching all 6 numbers?
b) What is the probability that if you purchase one ticket that you will win the Jackpot?
c) What is the probability that if you purchase the lottery that you will win exactly $500?
d) What is the probability that if you purchase the lottery that you will win exactly $25?
The average amount of money that a depositor of the Second National City
Bank has in an account in $5000 with a standard deviation of $650. A
random sample of 36 accounts is taken. What is the probability that the
average amount of money that these 36 depositors have in their accounts
is
a. Between $4800 and $5300?
b. Less than $ 4650 and Greater than $5250
c. Greater than $4900
