Statistics and Probability Answers

The average height of students in a freshman class of a certain school has been 149.45 cm with a population standard deviation of 7.74 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 43 students in the present freshman class has an average height of 164 cm? Use a 0.01 level of significance.

Write the six steps in hypothesis testing in each of the following studies. Take note, the p-value is already given.

The average family size in the Philippines was reported as 4.25. A random sample of families in a particular street resulted in the following family sizes:

5, 6, 7, 4, 3, 8, 2 and 9

\At 0.10, is the average family size more than the national average?

(p-value = 0.0961)

Suppose in a dice game, the person who rolls two dice wins if his rolls results in a pair of numbers whose sum is 7 or 11. in how many ways can he or she win?

A normally distributed population has a mean of 1,214 and a standard deviation of 122. Find the probability that a single randomly selected element X of the population is between 1,100 and 1,300.

Determine the given and compute the appropriate test statistic of the problem below.

Construct the rejection region of the problem below

In a study of television viewing, the mean number of television program they watched during daytime was 7. A survey was conducted on the random sample of 25 households and found that the mean number of television program they watched during daytime was 5 with a standard deviation of 1.5. Test the hypothesis at 10% level of significance.

Parameter, null hypothesis in symbol, alternative hypothesis in symbol, directional or non directional, level of significance,.

1. A company which produces batteries claims that the life expectancy of their batteries is 90 hours. In order to test the claim, a consumer interest group tested a random sample of 40 batteries. The test resulted to a mean life expectancy of 87 hours. Using a 0.05 level of significance, can it be concluded that the life expectancy of their batteries is less than 90 hours? Assume that the population standard deviation is known to be 10 hours.