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The leader of the association of jeepney drivers claims that the average daily take home pay for all jeepney drivers in Baguio City is 400 pesos. A random sample of 100 jeepney drivers in Baguio City was interviewed and the average daily take home pay of these drivers is found to be 425 pesos. Use a 0.05 significance level to find out if the average daily take home pay of all jeepney drivers in Baguio City is different from 400 pesos. Assume that the population variance is 92 pesos.


Identify if the following statements are predicate logic. Give a domain of discourse for each propositional function. (3 items x 5 points)



The movie won the Academy Award for the past 2 years.


1 + 3 = 4


(x+2)2 is a prime number.


According to one of the teachers in your school, the senior high school students sleep for 7 hours a day on a weekday. You wanted to prove this claim by making a survey of 50 senior high school students. You will be asking the students about how long they sleep in a regular weekday. Record the results of your survey. As a researcher, you need to compute the mean and standard deviation of your sample.



Create a 90%, 95%, and 99% confidence interval for the mean time of sleep for senior high school students. In your report, the raw data should be present, and the computation should be complete

If a population has a variance of 6.4, what is the variance of the sampling distribution of it's means? The sampling distribution has a sample size of 2 and all possible samples are drawn with replacement

Random samples of size N=2 are drawn from a finite population consisting of the number 5,6,7,8, and 9. Compute for the mean, Variance,and Standard deviation, and also the mean, Variance, and the Standard deviation of the sample mean

II – Answer each of the following questions. Use extra sheets if necessary.

1. Consider the population consisting of the values (4, 6, 8).

a. List down all the possible samples of size 2 with replacement.

 

 

b. Compute the mean of each sample.

 

 

 

c. Compute the mean of the sampling distribution of means.

 

 

 

d. Identify the probability of each sample.

 

 

 

e. Compute the population mean.

 

 

 

f. Compare the population mean with the mean of the sampling distribution of means.


Solve the problem and show solutions



1.A clothing store wants to stock


sweatshirts that come in four size (small, medium,large,x-large) and in 3 colors (yellow,blue, white). How many different types of sweatshirts will the store have to stock.



2.A clothing store wants to stock sweatshirts that come in four size (small, medium,large,x-large) and in 3 colors (yellow,blue, white). How many different types of sweatshirts will the store have to stock?



3.For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants,2 skirts, and 3 pairs of shoes for her birthday. How many outfit can she make?


Consider all sample of size 3 from this population: 67,80,70,78,70,73,67,71,88 and 90

Suppose we have birr 36 to spend on pork and chicken. If we buy p pounds of pork at birr 3per pound and C pounds of chicken at birr 2 per pound





How is w=(3,5,1)∈R

3

 a linear combination of u=(0,−2,2)

 and v=(1,3,−1)

 ?


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