Uncategorized

In the Program Evaluation and Review Technique (PERT), we are interested in the total time to complete a project that is comprised of a large number of subprojects. For illustration, let  be three independent random times for three subprojects. If these subprojects are in series (the first one must be completed before the second starts, etc.), […]

1. Let Yn denote the nth order statistic of a random sample of size n from a distribution of the continuous type. Find the smallest value of n for which the inequality 2. Let denote the order statistics of a random sample of size 5 from a distribution of the continuous type. Compute:

Compute are the order statistics of a random sample of size 9 from a distribution of the continuous type. Find the smallest value of n for whichare the order statistics of a random sample of size n from a distribution of the continuous type.

Verzani (2014), page 323, presented a data set concerning the effect that different dosages of the drug AZT have on patients with HIV. The responses we consider are the p24 antigen levels of HIV patients after their treatment with AZT. Of the 20 HIV patients in the study, 10 were randomly assign the dosage of

Verzani (2014), page 323, presented a data set concerning the effect that different dosages of the drug AZT have on patients with HIV. The responses we consider are the p24 antigen levels of HIV patients after their treatment with AZT. Of the 20 HIV patients in the study, 10 were randomly assign the dosage of

In Exercise 4.2.18 we found a confidence interval for the variance σ2 using  Exercise 4.2.18 Let  be a random sample from N(μ, σ2), where both param  (a) Show that this second probability statement can be written as (b) If n = 9 and s2 = 7.93, find a 95% confidence interval for σ2. (c) If μ is known,

Let p equal the proportion of drivers who use a seat belt in a country that does not have a mandatory seat belt law. It was claimed that p = 0.14. An advertising campaign was conducted to increase this proportion. Two months after the campaign, y = 104 out of a random sample of n

Among the data collected for the World Health Organization air quality monitoring project is a measure of suspended particles in μg/m3. Let X and Y equal the concentration of suspended particles in μg/m3 in the city center (commercial district) for Melbourne and Houston, respectively. Using n = 13 observations of X and m = 16 observations

A number is to be selected from the interval by a random hypothesis (concerning the multinomial pdf with k = 4) is to be tested at the 5% level of significance by a chi-square test. If the observed frequencies of the sets Ai, i = 1, 2, 3, 4, are respectively, 30, 30, 10, 10,

Consider Example 4.7.2. Suppose the observed frequencies of are 20, 30, 92, and 105, respectively. Modify the R code given in the example to calculate the test for these new frequencies. Report the p-value. Example 4.7.2