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A student obtained the following results for the normality of a Nitric acid solution: 0.424; 0.528; 0.621; 0.433; 0.537. Should 0.621as a result be rejected statistically?
In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject. The study revealed that the overall physical activity of obese young adults has a mean of mu equals 325μ=325 cpm and a standard deviation of sigma equals 90σ=90 cpm. In a random sample of n equals 100n=100 obese young adults, consider the sample mean counts per minute, x overbarx.
1. mu bar-x =
1. mu bar-x =
Which of the following statements are true or false? Give reasons for your answers. i) If X has the distribution )9,10(N and if 3X5Y−=, then Y has distribution )84,53(N. ii) If 7.0)BA(P,4.0)A(P=∪= and A and B are independent sets, then 55.0)B(P=. iii) By Chebyschev’s inequality, 2.0}2|x|{P≤σ≥μ−. iv) If correlation coefficient between x and y is 62.0, then correlation coefficient between u and v will by 62.0, where x65u+= and y37v−=. v) If UTθ=, where θ is an unknown parameter and U is a random variable having a chi-square distribution with n degrees of freedom (n being known), then an unbiased estimator of θ is T/2n
The regression equation of y on x and that of x on y are 066y10x8=+− and 214y18x40=− respectively, and the variance of x is 9. i) What are the mean values of x and y? ii) Find yσ. iii) Find the coefficient of correlation between x and y.
The ages of the employees of a fruit-juice outlet are as follows: 20,18,21,20,65,19,19 i) Compute the mean, the median and the mode of the ages. ii) How would these three measures of central tendency be affected if the oldest employee retired? Also, find the coefficients of variation in this case.
A loan is to be amortized by semi-annual payments of $5,700 each with the interest at 15% compounded semi-annually. If the outstanding balance at the end of 6 years is $78,890.24.
A) Find the original amount borrowed.
B) How may regular semi-annual payments are needed?
C) What is the repayment of the principal in the 11th payment?
A) Find the original amount borrowed.
B) How may regular semi-annual payments are needed?
C) What is the repayment of the principal in the 11th payment?
Calculate the surface integral, F.ds, where F = 2(x,y,z), and where S is the surface of the cube define by the relations 0≤x≤1, 0≤y≤1, 0≤z≤1.
You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.5 ft and the horizontal distance from you to the screen is 14 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.
2.45 Construct a cross-tabulation table using cola preference (Rola or Koka) as the row variable and Rola-Cola purchase history (Yes or No) as the column variable. Based on the table, answer the following.
a How many shoppers who preferred Rola-Cola in the blind taste test had previously purchased Rola-Cola? 19
b How many shoppers who preferred Koka-Cola in the blind taste test had not previously purchased Rola-Cola? 21
c What kind of relationship, if any, seems to exist between cola preference and Rola-Cola purchase history?
a How many shoppers who preferred Rola-Cola in the blind taste test had previously purchased Rola-Cola? 19
b How many shoppers who preferred Koka-Cola in the blind taste test had not previously purchased Rola-Cola? 21
c What kind of relationship, if any, seems to exist between cola preference and Rola-Cola purchase history?
why under-root 2 is irrationnal number??
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#333702 on Dec 2022
#333702 on Dec 2022