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There are 4 unrelated parts to this question. Justify your answers
a) (i) if 8 identical blackboards are to be divided among 4 schools, how many divisions are possible?
(ii) if 8 new teachers are to be divided among 4 schools, how many divisions are possible?
b) show that for any nonnegative integer n we have (n0)+(n2)+(n4)+......=(n1)+(n3)+(n5)+.... { note- (no) means nC0)
(Hint: use the binomial theorem ans substitute in specific values for x and y to prove the above statement)
c) suppose X is a continous random variable with density fX(x) for all x belongs to R. find the density of Z= (X-?)/?, for some constants ? and ? not equal to zero
What do these results say about testing with group data? Include in your answer the URLs of the sites where you found the necessary data.
Using the .01 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution.
question a soccer ball is kicked at a speed of 25.0 mph with an angle of 30 degrees above ground. find the maximum
Assume that the smiling time of eight-week old babies, in seconds, follows a uniform distribution between 0 and 23 seconds, inclusive. This means that any smiling time from 0 to and including 23 seconds is equally likely.
Is there any statistically significant difference in how the drugs perform? If so, explain the effect. Use the post hoc tests as needed.
1. for a standard normal model find the z-value that is less than the mean and for which 67 of the area under the
Do you believe that the variance of sales before announcement of increasing price is equal to variance of sales after announcement?
A research company has designed three different systems to clean up oil spills. The following table contains the results, measured by how much surface area (in square meters) is cleared in 1 hour. The data were found by testing each method in seve..
An advertising agency that serves a major radio station wants estimate the mean amount of time that the station's audience spends listening to the radio daily.
Fifty rounds of a new type of ammunition was fired from a M-1, and the muzzle velocity of the projectile was measured. The sample had a mean velocity of 853 meters per second, with a standard deviation of 2.9 meters per second
Suppose that the null hypothesis is rejected and that an alternate hypothesis is accepted. Discuss the conclusion as a type I error, a type II error, or a correct decision-if in fact the defendant is innocent.
By constructing null and alternative hypotheses, computing critical values, and comparing test statistic to critical value.
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