Search & Filtering
Who knows the game sipa? A physical education major seeks to determine whether all Filipinos are familiar with this game. Among 1,500 respondents, 358 know the game. Use 95% confidence to estimate the population proportion p and q. Interpret the sample data.
A TV manufacturer claims that the lifespan of its regular TV sets is longer than 10 years with a standard deviation of 1.8 years. Using a random sample of their 25 TV sets, the average lifespan is found to be 11.9 years. Test the hypothesis that the TV sets' lifespan is longer than 10 years at a=0.05
In a particular community, it is claimed that the mean household water usage for a particular month is 45 cubic meters. The following year, a countrywide water conservation campaign was conducted. Forty nine homes were randomly selected and found that the mean consumption is 54 cubic meters with a standard deviation of 5 cubic meters. Is there enough evidence to say that the mean household water usage per month is higher than 45 cubic meters at a=0.01?
The following table is a frequency table of the scores obtained in a competition. Use
the table answer the questions below.
Classes Frequency(f)10 - 13 413 - 16 616 - 19 1219 - 22 1422 - 25 4Total 40a. Find the mean, median and mode of the score. [2,2,2]
b. Find the range, variance, and standard deviation. [1,3,1]
c. Find the coefficient of variation. [2]
d. Compute the interquartile range.
(b) Time spent studying by students in the week before the sessional examinations follows a normal distribution with a population standard deviation of eight hours. A random sample of 16 students is taken in order to estimate the mean study time for the population of all students. What is the probability that the difference between the sample mean and the population mean
(i) exceeds two hours?
(ii) is less than three hours?
(c) From past experience, the Software Manager at the Northrise University Computer Centre has found that the downtime (in hours) per day of the main server follows a normal distribution with a population variance of 0.25. If a random sample of 21 days is selected and the data on the downtime are recorded, what is the probability that the sample variance is between 0.092875 and 0.469625?
There are 5 blue marbles and 7 orange marbles in a jar. Misha draws one blue marble and sets it aside. What is the probability that Misha will randomly draw an orange marble from the remaining marbles in the jar?
Shelly has a container of colored tiles: 3 green, 4 blue, 6 yellow, and 12 red. The first tile she takes from the container is red. If she does not put the red tile back into the container, what is the probability that the second tile she randomly takes out of the container will be red?
There are 32 students in Mr. Morgan’s math class. One student will be randomly selected to present their project.
If there are 20 boys and 12 girls in the class, what is the probability that the presenter will be a boy?
(Write the answer as a fraction in lowest terms.)
A bad contains marbles of four different colors:
- 8 blue marbles
- 24 red marbles
- 17 green marbles
- 4 yellow marbles
the probability of picking a blue marble at random out of the bag is
Solve the following problem, then choose the letter of your answer.
For numbers 1-4: A population consists of five (5) measurements 2, 3, 5, 6, and 7.
Answer the following questions. Show your solution.
1. What is the mean of the population?
A. 4.60 B. 4.92 C. 3.44 D. 5.20
2. What is the variance of the sampling distribution of the sample means with a sample size of 2?
A. 3.90 B. 2.256 C. 2.20 D. 3.44
3. What is the mean of the sampling distribution of the sample means?
A. 4.60 B. 4.92 C. 3.44 D. 5.20
4. What is the variance of the sampling distribution of the sample means?
A. 1.29 B. 4.92 C. 3.44 D. 1.20
5. The population has a standard deviation of 4.9 and has a mean of 28, of the sampling distribution of the sample mean? The sampling distribution was derived with sample size n=4 and all possible samples were drawn with replacements.
𝑨. µ𝒙̅ = 2.45 B. µ𝒙̅ = 1.225 C. µ𝒙̅ = 3.65 D. µ𝒙̅ = 12.005
