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A population consists of three numbers (3,4,7). Consider all possible samples of size 2 which can be drawn from the population. Find the variance of the sampling distribution of the sample means.
The average time it takes college freshmen to take the standardized comprehension test is 24.6 minutes. The standard deviation is 5.8 minutes. Assume the variable is normally distributed. Find the following probabilities:
a. It will take between 15 and 30 minutes to complete the test.
b. It will take the student less than 18 minutes to complete the test.
c. It will take the student more than 28 minutes to complete the test.
The leader of the association of jeepney drivers claims that the average daily take home pay of all jeepney drivers in San Mateo, Rizal is P 800. A random sample of 100 jeepney drivers in San Mateo Rizal was interviewed and the average daily take home pay of these drivers is found to be P 825. Use a 0.05 significance level to find out if the average daily take home pay of all jeepney drivers in San Mateo, Rizal is different from P 800. Assume that the population variance is P16, 928.
6. What is the null hypothesis?
7. What is the alternative hypothesis?
8. What type of test?
9. What is the level of significance?
10. What is the critical value?
11. What is the appropriate test statistic to be used?
Consider a population of 2,3,and 4 .suppose samples of size 2 are drawn from this population.describe the sampling distribution of the sample means.
What is the mean and variance of the sampling distribution of the sample means?
Jar A contains one white and two black balls, jar B contains five white and two black balls, and jar C contains four white and two black balls. One ball is selected from each jar. What is the probability that the ball chosen from jar B will be white, given that exactly two black balls are selected?
Show your reasoning and calculations.
A game called “It Pays to Wait” is played in which you roll a single die. If you roll a six on the first try you lose. If you roll a six on the second try you win $5 and the game is over. If you roll a six on the third try you win $10 and the game is over. If you roll a six on the fourth try you win $15 and the game is over. The maximum number of rolls a player can take is four. It costs $4.00 to play the game. Determine the expected profit for the operator of this game after 200 games have been played.
A finite population consists of 5 elements. 10, 12, 14, 16, 15. Consider the sample of size 3 that can be drawn from this population.
What is N?
What is the mean of the population?
What is the variance of the population?
What is the standard deviation of the population?
How many samples can be drawn in the population?
What is the mean of the sample?
What is the variance of the sample?
What is the standard deviation of the sample?
Problem: A populatio consists of the six numbers 4,9,11,7,8 and 3. Consider the sample of size 3 that can be drawn from this population?
What is N?
How many samples can be drawn in the population?
What is the probability of getting 8.67?
The probability of getting 6.33 is?
what is EP(x)?
Question 2:
If the following frequency distribution shows the average number of students per teacher in the 50 major cities of Pakistan
Class Limits
Frequency
9-11
3
12 – 14
5
15 – 17
12
18 – 20
18
21 – 23
8
24 – 26
4
Table 1
Determine
· Range
· Mean
· Median
· Mode
· Standard Deviation
· Relative Dispersion
· Variance
· Kurtosis
There are hundreds of apples on the trees, so you randomly choose just 83 apples and get a mean weight of 87.53 grams with a standard deviation of 6.7 grams. Assuming that the weight of the apples is normally distributed, what is the standard error of the 90% confidence interval for the mean weight of the apples.
