Statistics and Probability Answers

A manufacturer of automobile seats has a production line that produces an average of 100 seats per day. Because of new Government regulations, new safety devices have been installed, which the manufacturer believes will reduce average daily output. A random sample of 15 days output after the installation of the safety devices is shown below:

93, 103, 95, 101, 91, 105, 96, 94, 101, 88, 98, 94, 101, 92, 95

Assuming that the daily output is normally distributed, is there sufficient evidence at the 5% level of significance, to conclude that average daily output has decreased following the installation of the safety devices?

18, 19, 21, 27, 20

A new drug on the market is claimed by its manufacturers to reduce overweight women by 4.55 kg per month with a standard deviation of 0.91 kg. Forty women chosen at random have reported losing an average of 4.05 kg within a month. Does this data Suppose the claim of the manufacturer at 0.05 level of significance? Use the five steps of hypothesis.

A new drug on the market is claimed by its manufacturers to reduce overweight women by 4.55 kg per month with a standard deviation of 0.91 kg. Forty women chosen at random have reported losing an average of 4.05 kg within a month.

Suppose the current annual salary of all teachers in the Philippines have a normal distribution with a mean of 95,000 pesos and a standard deviation of 20,000 pesos.

a.  Find the probability that the annual salary of a randomly selected teacher would be between 56,000 and 76,000.

b.  Find the probability that the annual salary of a randomly selected teacher would be at least 50,000 pesos.

c.  Find the probability that the annual salary of a randomly selected teacher would be 126,000 pesos.

Draw a tree diagram to find the number of possible outcomes.

Martha has 4 pants and 3 shirts. How many different pairs of pants and shirts can he wear?

Draw a tree diagram to find the number of possible outcomes.

How many 3-digit numbers can be formed from the digits 1, 2, 3, and 4 if no digit is repeated in any number? How mang of these numbers are odd? How many are greater than 300? How many arr divisible by 11?

Find the number of possible outcomes by systematic listing.

If two dice arr rolled, how many possible outcomes are there? How many of these have a dot sum greater than 8? Less than 10?

1. Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a special test were 80.5. If the standard deviation of the scores was 3.1, and the sample came from an approximately normal population, find the point and the interval estimates of the population mean, using 95%confidence.

2.    Edith has observed that the mean age of 18 youth volunteers in a barangay project is 17.5 years with a standard deviation of 2years. If the sample comes from an approximately normal distribution, what are the point and the interval estimates of the population mean? Adopt a 99% confidence level.