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The score 28 and 40 bound the middle 95% of the distribution. What percent is left at the tails of the distribution


A local political leader claims that 95% of the families in his area of responsibility 

were given “ayuda” during a one-month lockdown. Of a random sample of 200 families, 187 said they received relief or “ayuda”. Is this enough to affirm the 

leader’s claim? Use 𝑎 = 0.05.


It is a point such that 90% of the distribution lies below it and 10% lies above


Find the perimeter of loop of the curve 3ay²=x²(a-x)

Find the boundaries, midpoints and class width for 8.24-11.36


1. The average score in the entrance examination in Mathematics at Sto.



Rosario National High School is 80 with a standard deviation of 10.A



random of 40 students was taken from this year's examinees and



was found to have a mean score of 84.



Is there a significant difference between the known mean and the



sample mean? Test at a= 0.05



Solution :



Step 1. H0: = 80 : There is no significant difference



hypothesized and the sample mean.



H1: "\\neq" 80 :



Step 2. Level of significance. a = 0.05.



Step 3. two tailed test, find the critical value. Zt =



4. Compute the test-statistic value:


5. Step :

6. Conclusion:


Mr. Akrong gave his two children Nii and Naa a total of GH¢ 900.00 as a present. Nii immediately paid Naa GH¢ 75.00 to repay a loan. They then found that Naa had twice as much as Nii. How much did each of them receive from their father?

. Consider Interest centers on the life of an electronic component. Suppose it is known that the probability that the component survives for more than 6000 hours is 0.42. Suppose also that the probability that the component survives no longer than 4000 hours is 0.04. Determine the Probability that;

(a) The life of the component is less than or equal to 6000 hours?

(b)The life is greater than 4000 hours? 


According to a genetics theory,a certain cross of guinea pigs will result in red,black, and white offspring in the ratio 8:4:4.Find the probability that among 8 offspring,5 will be red,2 black, and 1 white.


A thermometer is removed from a room where the



temperature is 70° F and is taken outside, where the air



temperature is 10° F. After one-half minute the thermometer reads 50° F. What is the reading of the thermometer at t  1 min? How long will it take for the



thermometer to reach 15° F?

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