Statistics and Probability Answers

A. The following are the heights of four students in centimeters. Suppose

samples of size 2 are taken from this population of four students.

STUDENTS | HEIGHT(in cm)

Cardo 125

Alyana 120

Joaquin 130

Flora 110

a. Compute the mean of the population

b. Compute the mean of the sampling distribution of the sample means

A random sample of 60 Grade 11 students’ ages is obtained to estimate the mean ages of all Grade 11 students. Suppose the sample mean is 17.3 and the population variance is 18, 

It has been reported that 40% of the adult population participate in computer hobbies during their leisure time. A random sample of 180 adults found that 65 engaged in computer hobbies. at a= 0.01, is there sufficient evidence to conclude that the proportion differs from 40%?

It has been reported that 40% of the adult population participate in computer hobbies during their leisure time. A random sample of 180 adults found that 65 engaged in computer hobbies. at a= 0.01, is there sufficient evidence to conclude that the proportion differs from 40%?

X=842, n=1200, 95% confidence

X=842, n=1200, interval estimate 95%

It is reported that the average number of hours of sleep of a college student during regular school days is 6 hours a day .If 28 college students were randomly selected find the probability that the mean number of hours they sleep during regular school days is longer than 6.8 hours .Assume that the variable is normally distributed with standard deviation of 1.2 hours

A sample size of 400 is taken from a population x with a u=4 and o=2.Find the probability that the sample mean is less than 3.85