Statistics and Probability Answers

The number of traffic accidents per week in a small city has a Poisson distribution with mean 

equal to 1.3. What is the probability of at least two accidents in 2 weeks?

The SSG president claims that the average number of hours the students study their  lesson is more than 25 hours per week with standard deviation of 4 hours. The average of 30  students surveyed is 36 hours per week, is there sufficient evidence to reject the SSG  president’s claim at �� = 0.10 level of significance?  

(a) What is the parameter to be tested?  

(b) Is the population standard deviation given?  

(c) How many samples do we have in this problem?  

(d) What is the given level of significance?  

(e) What is the appropriate statistical test to be used? 

a.leadership skills test a random sample of 200 school managers were administered a developed leadership skills test. the sample mean and the standard deviation were 78 and 4.2 respectively. in the standardization of the test, the mean was 73 and the standard deviation was 8. test for significant difference using a = 0.05 utilizing the p value method. steps (p-value method)

Given a population of 5000 score with mean μ=86 and σ=10. How many scores are below 56?

Activity 1 Find the critical value of the following

Lone-tailed test, or known, a= 0.05; n = 34,

2 two-tailed iest, a unknown, a = 0.01, n=23

3 night-tailed test, a unknown; a = 0.01, n = 15

4 one-tailed test, a known, a = 0.025; n = 37

5 left-tled test, a known, a= 0.05, n = 36

Consider the problem: According to last year's report, a Filipino household spends an average of P500 per day for food. Suppose you recently took random samples of 30 households. You determined how much each households spent for food each day and the results revealed a mean of P450 and the standard deviation of P25.50. Using a 0.05 level of significance, can it be concluded that the average amount spent per day for food of a Filipino household has decreased? Assume normality over the population

Consider the problem: According to last year's report, a Filipino household spends an average of P500 per day for food. Suppose you recently took random samples of 30 households. You determined how much each households spent for food each day and the results revealed a mean of P450 and the standard deviation of P25.50. Using a 0.05 level of significance, can it be concluded that the average amount spent per day for food of a Filipino household has decreased? Assume normality over the population

1) A package of 6 cellphones contains 4 that are slightly defective. Elise bought 4 of these CP's at random. Let the random variable be the number of non-defective CP's.

a) List the elements of the sample space using D and N for defective and non defective cell phones respectively.

b) Determine the values of the random variables and create a probability mass function.

c) Solve for the mean.

d) Solve for the variance.

e) Solve for the standard deviation.

A package of 6 cellphones contains 4 that are slightly defective. Elise bought 4 of these CP's at random. Let the random variable be the number of non-defective CP's.

a) List the elements of the sample space using D and N for defective and non defective cell phones respectively.

The mean number of minutes that android phone users spend on an app is 8.2 minutes. Suppose the standard deviation is 1 minute. Take a sample of 60 What are the mean, standard deviation for the sample mean number of app engagement by a tablet user? and Find the probability that the sample mean is between 8 and 8.5 minutes. 2.) In a recent study, the mean age of online job search website users is 34 years. Suppose the standard deviation is 15 years. Take a sample of size n=100. a.) What are the mean, and standard deviation for the sample mean ages of tablet users? Find the probability that the sample mean age is more than 30 years