Math Answers

The leader of the association of jeepney drivers claims that the average daily take home pay of all jeepney drivers in a particular city is php 450. A random sample of 100 jeepney drivers in the city was interviewed and the average daily take home pay of these drivers is found to be php 500. Use a 0.05 significance level to find out if the average daily take home pay of all jeepney drivers in the city is greater than php 450. Assume that the population variance is php 8644.

The diameters of washers are normally distributed with mean 50mm and variance

4mm. A washer is considered non-defective if its diameter lies between 46mm and

53mm. If one washer is randomly selected, what is the probability that:

4.2.1 its diameter less than 45mm? (6)

4.2.2 itis defective?

There is a claim that on daily average students spend 5.5 hours on social media with standard deviation of 1.25 .A resercher wants to test the claim at 5% level significance.

1.formulate the null and alternatuve hyphothesis

2.Determine the test statistic to be used

3.Find the corresponding z value

4. Identify the rejection region

Let A = {a, b, {b}, {b, e}, e} and B = {b, {b, e}, e, f}.

A ⋂ B = {b, {b, e}, e}

a. false

b. true

1. A researcher estimates that the average height of the buildings of 30 or more

stories in a large city is at least 700 feet. A random sample of 10 buildings is

selected, and the heights in feet are shown. At  = 0.025, is there enough

evidence to reject the claim?

485 511 841 725 615

520 535 635 616 582

1. A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at least 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At  = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582

In student's t-distribution, if the sample size is 25, what is the degree of freedom?

II. Determine the given of the problems below and formulate the null and alternative hypothesis both in words and symbols. Write your answer in your notebook. Please follow the format in the examples.

2. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying ager of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and assume that the population is normally distributed.

3. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying ager of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and assume that the population is normally distributed.

II. Determine the given of the problems below and formulate the null and alternative hypothesis both in words and symbols. Write your answer in your notebook. Please follow the format in the examples.

1. A health specialist wants to determine the average number of hours a person exercise in a day during the quarantine period. She found out that the mean number of hours a person exercise in a day during the quarantine period is 80 minutes. A random sample of 29 persons were surveyed and found that their mean is 65 minutes and a standard deviation of 10 minutes. Test the hypothesis at 2% level of significance and assume that the population is normally distributed.