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Determine the ff. problem as: a.)One-tailed (Right tailed or left tailed) or Two-tailed b.)Alpha value c.)Critical value It is believed that in the coming election, 65% of the voters in the province of Pampanga will vote for the administration candidate for governor. Suppose 713 out of the 1 150 randomly selected voters indicate that they would vote for the administration candidate. At 0.10 level of significance, find out whether the percentage of voters for the administration candidate is different from 65% 



The high school sports coordinator is asked if soccer players are doing as well academically as the other student athletes. From the previous study, the GPA for student athletes is 3.10. After the intervention to help improve GPA of student athletes, the sports coordinator randomly samples 20 soccer players and finds that the average GPA of the sample is 3.18 with a sample standard deviation of 0.54.


A sports trainer wants to know whether the true average time of his athletes who do 100-meter sprint is 98 seconds. He recorder 18 trials of his team and found that the average time is 98.2 seconds with a standard deviation of 0.4 second


Compare the relativistic momentum of an electron to its classical momentum when it has a speed of (a) 0.88c in an accelerator used for treating cancer and (b)4.50 × 107 𝑚/𝑠 in the cathode ray tube of a TV set.






The ABC Company has developed a new cellphone model. The engineering department claims that its battery lasts for 4 days. In order to test this claim, the company selects a random sample of 100 new cellphones so that this sample has a mean battery life of 2.5 days with a standard deviation of 1 day. 



Newborn babies are more likely to be boys than girls. A random sample found that 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? Use 95% confidence level.

find the centroid of the region with the indicated boundaries y = 4 - x^2 and the x-axis


Minimize the cost of an array where


cost = summation of square of difference of two consecutive array elements.


ex:


arr = [1,2,3,4]


sum = (1-2)^2 + (2-3)^2 + (3-4)^2


Output = 3


if I insert any element in the range of (1 to 10^5) between any two items of the array then it will give some other value, like this I have to give the minimum cost possible by inserting a number.



what is the mean and variance of samples of three cards are drawn random from a population of seven cards numbered 1 to 7


given n and read the next n lines as integers and convert n integers as array. calculate the sum of its prefixes at each index and return the number of positive sum of prefixes.



For Example :


n = 4, next n lines 1, 3, 0, -5


read inputs as array = [-9,3,0,1,-1]


converts into _____ format Like


[3, 1, 0, -9, -1]


Then calculate sum of prefixes like


[3, 4, 4, -5,-6]


Now count the positive numbers above the list is 3.


so output is 3





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