1. Consider two independent random variables X and Y. Random variable X has a x^2 distribution with v(sub)x=25 degrees of freedom and random variable Y has a x^2 distribution of v(sub)y=29 degrees of freedom. Consider the random variable W= X/Y. W has a distribution which you can easily derive. Find the 95th percentile of the distribution W.

2.         Group 1    Group 2    Group 3   Group 4
Mean    81.98       112.28    112.08    73.63
SD         8.51          7.50          7.11       5.17
n          21.00       21.00       21.00      21.00

(SD) = standard deviation (n) = sample size

The above data is for 4 independent groups. You construct a 90% confidence interval on the quantity: k = mu(sub)1 - mu(sub)2 - mu(sub)3 + mu(sub)4
What are the endpoints of the interval?

3. Using the above data from the previous question, compute the t- statistic for testing the null hypothesis: H(sub)0 : mu(sub)1 - mu(sub)2 - mu(sub)3 + mu(sub)4 = 0

(H(sub)0 = null hypothesis)

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution1.PNG, Solution2.PNG and Solution3.PNG.

    for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Advanced Statistics Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Upload a file
    Continue without uploading

    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats