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The height of male college students are normally distributed with mean of 68 inches and standard deviation of 15 inches. If 25 students each are drawn from the population, what is the probability that;
2a) the sample mean is at least 75
2b) the sample mean is less than 59
2c) the sample mean is greater than 72
A population of PWD learners in 5 schools in a certain municipality of Quezon Province are (𝒙) 9, 5, 6, 12, and 15. Suppose that two schools were selected as samples, determine the mean and variance of the sampling distribution of sample mean.
The height of male college students are normally distributed with mean of 68 inches and standard deviation of 15 inches. If 25 students each are drawn from the population, what is the probability that;
2a) the sample mean is at least 75
2b) the sample mean is less than 59
2c) the sample mean is greater than 72
In a graduate teacher college, a survey was conducted to determine the proportion of students who want to major in Mathematics. If 378 out of 900 students said Yes, with 95% confidence, what interpretation can we make regarding the probability that all students in the teacher graduate college want to major in Mathematics.
Problem:
Mr. Domingo conducted a survey among ten random samples of people who are in favor of Truck Ban in a section in the City. He determined the percentages of those who are in favor of the ban. Assuming that the only error present is the sampling error, he wanted to determine the point estimate of the population mean percentage and the standard deviation based on 500 observations. The following numbers represent the percentages of the 10 surveys.
47.0 56.4 50.1 60.2 48.0 55.3 60.0 59.5 63.0 57.5
1. Find the sum of the values in the numerator and n-1.s2=∑(X−x)2n−1
s2=(47.0−)2+(56.4−)2+...+(57.5−)210−1
s2=
__________
This value is called the _______________________
2. Extract the square root of s2 s= _____________
This value is called the ______________________.
3. Describe/Interpret the result.On the average, the sample mean percentage is __________ away from the mean of the percentage value of people favoring the truck ban.
Consider the random event of tossing four coins once, then follow these steps:
1. List all the possible outcomes using the tree diagram.
2. Determine the sample space.
3. Determine the possible values of the random variables.
4. Assign probability values P(X) to each of the random variable.
5. Construct a probability histogram to describe the P(X).
Answer the following guide questions:
1. How many possible outcomes are there?
2. What composes the sample space?
3. How will you describe the histogram?
A study of 40 SHS English teachers established that they spent 12.6 minutes revising a student’s term paper.
Find the 90% confidence interval in the mean time for all composition papers when minutes.
If the teacher affirmed that she spent an average of 30 minutes revising a term paper, what would be your reaction?
Find the sample size to estimate a population mean within 95% confidence if the standard deviation is 6.2.
The prices for LED are listed: 22 500, 24 000, 21 500, 20 200, 20 600, 21 100, 210 000, 19 300, 25 000 and 22 500. Estimate the true mean of the data set with 90% confidence level.
Louie wants to estimate the average value of the lot in his town with 99% confidence interval. Use his random sample of 36 lots with an average value of Php251, 131.42 and a standard deviation of Php1 321.467 to find the confidence interval.
As a Senior High School Student, how much time do you spent in studying and answering the activities in your modules? Do you spend 25 hours in a week or more than that? Suppose that the average number of hours spent by senior high school students in your school for their modular classes in a week is 25 hours with a standard deviation of 4 hours. Assuming that the study is true and the data is normally distributed. What is the probability that a random sample of 12 senior high school students spends more than 24 hours?
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.
the average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of 50 novels is randomly chosen, what is the probability that the average number of pages in these books is between 319 and 331?
#339914 on Dec 2023