Search & Filtering
How many possible samples of size n = 9 can be drawn from a population of size 12?
Because of the immediate suspension of classes nationwide due to the COVID-19 pandemic, many
schools opted to give the final examination online. The scores on a certain exam are normally
distributed with a mean of 75 and a standard deviation of 10. Find the probability of the score.
a. Less than 54
b. At least 50
c. The average age of the ABS CBN employees is known to be 32 years and the standard
deviation is 5 years. Find the probability that a random sample of 36 employees will have an average
age of less than 30 years.
In a study of inter spousal aggression and its possible effect on child behavior, the Behavior Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a sample of 38 children whose parents were classified as non-aggressive, the mean and standard deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate the conjecture that the children of aggressive families have lower mean BPC than those of non- aggressive families? Use a significance level of 0.05.
What is P(x<64)?
Find the p and q
1.) x=18;n=100
random samples of size n = 3. Calculate the population mean, population variance, and population standard deviation. Illustrate the sampling distributions of the sample means and sample variances and standard deviations.
In a study of inter spousal aggression and its possible effect on child behavior, the Behavior Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a sample of 38 children whose parents were classified as non-aggressive, the mean and standard deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate the conjecture that the children of aggressive families have higher mean BPC than those of non- aggressive families? Use a significance level of 0.05.
Of the 20 people attending a lecture, 2 have brown eyes. What is the probability that a randomly selected person will have brown eyes?
The following data show the number of cars sold at a dealer during the past 20 weeks:
18; 13; 2; 20; 8; 10; 5; 10; 6; 9; 10; 20; 2; 15; 16; 16; 13; 10; 17; 10
Use the data to construct a histogram that shows the number of weeks versus car sales. Use the intervals
0,5 − 4,5; 4,5 − 8,5; 8,5 − 12,5; 12,5 − 16,5; 16,5 − 20,5
for the number of cars sold. The correct histogram
Given the population 3, 5, 8, 9, and 10. Suppose samples of size 4 are drawn from this population
1. What is the mean (u) and standard deviation (a) of the population?
2. How many different samples of size n& can be drawn from the population? List them
corresponding means. 3. Construct the sampling distribution of the sample means
4 What is the mean () of the sampling distribution of the sample means? Compare this to the mean
the population
5. What is the standard deviation (n) of the sampling distribution of the sample means? Compare thin
the standard deviation of the population.
