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The owner of the drug store chain has 100 drugstore that that sell flexcoslow, a surgical mask that prevents a person from catching liquid droplets of viruses. His operation manager said that the average drugstore in his chain sell 12 boxes of the flexcoslow a day with a standard deviation of 2 boxes. To find out if this is true, the owner randomly selected 10 store and found that the mean is 15 boxes with a standard deviation of 1box.

N= ,n=

"\\mu" =

"\\sigma" 2 =

X=

s=


The different interest rates charged by some financial institutions may reflect how stringent their standards are for their loan appraisals: the lower the rate, the higher the standards, and hence, the lower the default rate. The data below were collected from a sample of eight financial companies selected at random.

Financial company

1

2

3

4

5

6

7

8

Interest rate (in %) x

7.0

6.6

6.0

8.5

8.0

7.5

6.5

7.0

Default rate (in 1000 loans) y

38

40

35

46

48

39

36

37

 

a/ Find the least square regression line.

b/ Perform the test H0: b1 = 0, HA: b1 "\\neq" 0 (using α = 0.05) to determine whether there is enough evidence to infer that a linear dependence exists between interest rate (x) and default rate (y).



The average age of public jeepneys plying in Metro Manila is 15 years. Assume that the standard deviation is 8 years. If a random sample of 25 public jeepneys is chosen, Find the probability that the mean of jeepneys ages is between 12 and 19.


This item is 10 points. A population consists of the five measurements 1, 5, 3, 8, and 10 . Suppose samples of size 2 are drawn from this population. 

Compute and find the following:

1) Find the variance of the population.

2) Find the variance of the sampling distribution. 

The average age of public jeepneys plying in Metro Manila is 15 years. Assume that the standard deviation is 8 years. If a random sample of 25 public jeepneys is chosen, Find the probability that the mean of jeepneys ages is between 12 and 19.


Kaitlyn is flipping a coin two times, and records the result of each flip. Which of the sets below is the entire sample space?

{HH,TT,HT,TH}


What is the probability of obtaining heads twice?


  


What is the probability of obtaining heads exactly once?


  


What is the probability of obtaining heads at least once?


  


What is the probability of obtaining no heads?


Suppose that the mean stopping time of a particular model of car moving at 40 mph is listed

as 1.8 seconds, with a standard deviation of 0.25 seconds. A random sample of 12 cars obtains a

standard deviation of 0.35 seconds. Test the claim that o = 0.25 seconds at the 0.05 level of significance


Suppose that a survey of 500 randomly selected registered voters are asked whether they voted in

the last presidential election and that 49% said that they had. We wish to test the claim at the a = 0.05 level of

significance that more than 50% of registered voters voted in the last presidential election.


A. Assume that the GPA of college students in Luzon is approximately normally distributed. The




average GPA is 2.455 with a standard deviation of 0.66. Find the percentage of students who




obtained GPA below 1.25.

a coffe manufacturer is interested in whether the mean daily consumption of regular coffee drinkers decaffeinated coffee . a random sample of 50 regular coffee drinkers showed a mean of 4.35 cups per day . a sample of 40 decaffeinated coffee drinkers showed a mean of 5.84 cups a day. use the .01 significance level. compute the p-value .


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