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A. Directions: Check whether the sample is in each problem is sufficiently large enough to use the
Central Limit Theorem in normal approximation.
4. Professors from an organization for private colleges and universities reported that more than 6% of
professors attended a national convention in the past year. To test this claim, a researcher surveyed 80
professors and found that 5 attended a national convention in the past year.
5. An insurance industry report indicated that 30% of those persons involved in minor traffic accidents
this year have been involved in at least one traffic accident in the last five years. Believing it was too
large, an advisory group decided to investigate this claim. A sample of 200 traffic accidents this year
showed that 56 persons were also involved in another accident in the last five years. 6. A researcher
claims that 75% of college students would rather spend
A. Directions: Check whether the sample is in each problem is sufficiently large enough to use the
Central Limit Theorem in normal approximation.
1. A Public Information Survey investigated whether the majority of 40% of adults supported a tax
increase to help fund the local school system. Out of this, a random sample of 300 showed that 113
agreed with the tax increase.
2. It is believed that in the coming election, 65% of the voters in the Province of Kaunlaran will vote for
the administrative candidate for governor. Out of 1,170 randomly selected voters, 640 indicated that
they would vote for the administrative candidate.
3. Suppose that in the past, 42% of all adults favored capital punishment. Do we have reason to believe
that this proportion has increased if in a random sample of 150 adults, 80 favored capital punishment?
A population consists of 4 number 3, 7, 11, 15 of sample size n=2 which can be drawn without replacement from the population.
a. Population mean
b. Population variance
c.population standard deviation
d. Mean of the sampling distribution of the sample means
e. Variance of the sampling distribution of the sample means
f. Standard deviation of the sampling distribution of the sample means
suppose three coins are tossed let y be the random variable representing the number of tails that occur find the values of the random variable y make a table to illustrate the situation
Let โฆ be a sample space of rolling a fair die once and observing the face value.
Let A be the event with element 1 and 3. Show that the smallest ๐ โ ๐๐๐๐๐
containing A is a ๐ โ ๐๐๐๐d
A population consists of the numbers 2, 4, 5, 9, and 10. A random sample of size 2 is
taken from the population.
1. Compute the number of samples using combination.
2. Complete the table on the right and compute the mean ยต, variance
ฯ2 and standard deviation ฯ of the population.
3. Complete the table on the right and compute
the mean ฮผxฬ, variance ฯxฬ2
, and standard
deviation ฯxฬ of the sampling distribution of
sample means.
A population of size N=150 has u=8 and standard deviation of o=5.4. What is the probability that a random sample of size n=20 will have a mean of 9.5 above.
a meeting of envoys was attended by 4 americans and 5 filipinos. If 6 envoys were selected at random one after the other, determine the values of the random variable F representing the number of filipinos
three balls are drawn in succession without replacement from a jar containing 8 white balls and 5 black balls. Let B be the random variable representing number of black balls
You select a card from a standard deck of playing cards. Find the probability of each event.
1. Event D: Selecting the nine of clubs
2. Event E: Selecting a heart
3. Event F: Selecting a diamond, heart, club, or spade
#340153 on Dec 2023