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A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from this population


Samples of three cards are drawn at random from a population of eight cards numbered from 1 to 8.

The leader of the Factory Worker claims that the average pay of factory workers in



Marikina City is less than 500 php. A random sample of 16 factory workers was



interviewed and resulted on the average of 350 php. Using a significance level of



0.05 and standard deviation of 92. Determine if there is sufficient evidence that the



claim is true.

(a) What is the simple interest on P60,000 for six months at a simple interest of 12%


(b) What is the compound interest if the same investment is compounded quarterly? (c)


Obtain the difference.


A restaurant located in an office building decides to adopt a new

strategy for attracting customers. Every week it advertises in the city newspaper. In the 6

weeks immediately prior to the advertising campaign, the weekly grosses were 350, 320,

307, 398, 420, 335 (in million VND). In the eight weeks after the campaign began, the

weekly grosses was 488, 301, 276 380, 421, 425 (in million VND).

a/ Test with  = 0.05 to determine whether there is enough evidence to conclude that

expected weekly gross after the advertising campaign differs from 382.

b/ Given that the weekly grosses are normally distributed, can we conclude that the

advertising campaign helped in improving weekly grosses? (Assuming unequal variances

and using  = 0.05)



p=0.64

a=0.05

n=180


what is the point estimate of p?


what is the interval estimate of p?


Find the area, take the elements of the area parallel to the x-axis. y=2x³-3x²-9x; y=x³-2x²-3x..

The head of the PE Department of a certain high school claims that the mean height ofGrade 7 students is 163 cm. The mean height of 45 randomly selected Grade 7 studentsis 161 cm. Using 0.01 significance level, can it be concluded that the mean height ofGrade 7 students is different from 163 cm as claimed by the Head of the PE Department?

find the area of the region bounded by the curves x=y³ and y=x²

You are planning to buy a good quality cell phone in order to attend the online calss.The average price of 50 cellphones is ₱13,500 with a standard deviation of ₱573.65 and a confidence level of 99%. Find the corresponding confidence interval.


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