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Suppose the random variable X has the uniform distribution on the integers 10,11,12
......,30 Find probability that X is the prime number
1. 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.
1. Find the sample size to estimate a population mean within 95% confidence if the standard deviation is 6.2.
1. A study of 40 SHS English teachers established that they spent 12.6 minutes revising a student’s term paper.
a. Find the 90% confidence interval in the mean time for all composition papers when minutes.
b. If the teacher affirmed that she spent an average of 30 minutes revising a term paper, what would be your reaction?
How many ways can a club select a president, vice president, and a secretary from a group of 9 people?
A group of young researchers would like to know the influence of religion on the voting scheme of first-time voters. In 3200 students in school, the researchers fractionated the population-based on religion and came up with a sample size of 399 using Slovin’s formula. The researchers randomly selected the 399 participants and are now set to conduct the study.
random samples with sise 4 are drawn from the population containing the values 14, 19, 26, 31, and 53
- construct a sampling distribution of the sample means.
- find the mean of the sample means.
- compute the standard error of the sample means.
Professor Z conducted a periodic examination on all his students enrolled in Math 11. The scores are normally distributed with a population standard deviation of 10. He randomly selected 125 students and obtained a mean score of 60.
a, What is the population of interest?
b. What is the point estimate of the population mean?
c. Compute the standard error of the mean.
d. At 95% confidence level, what is the margin of error?
e. Find the 90% confidence interval for the population mean.
f. Find the 95% confidence interval for the population mean.
g. Find the 98% confidence interval for the population mean.
random samples with sise 4 are drawn from the population containing the values 14, 19, 26, 31, and 53
The probability that the man will be alive 25 years is 2/3 and the probability that his wife will be alive 25 years 2/3.find the probability that:
both will be alive
