QuestionQuestion

Transcribed TextTranscribed Text

When two competing teams are equally matched, the probability that each team wins any game is 0.5. The NBA championship goes to the team that wins four games in a best-of-seven series. If the teams were equally matched, the probability that the final series ends with one of the teams sweeping four straight games would be 2(0.5)4 = 0.125. Further probability calculations indicate that 25% of these series should last five games, 31.25% should last six games, and the other 31.25% should last the full seven games. The table shows the number of games it took to decide each of the last 57 NBA champs. Do you think the teams are usually equally matched? Give statistical evidence to support your cond usion. Length of series 4 games 5 games 6 games 7 games NBA finals 7 13 22 15 The null hypothesis is that the distribution of length of series follows the probability model consistent with the conjecture that each team has a 50-50 chance of winning each game. For a goodness-of-fit test with 3 degrees of freedom x2 = 1.54 and P = 0.67. 1. Interpret P value within the text 2. Do you reject or not reject null hypothesis? 3. What is your condusion for the problem?

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.

1.
Under the assumption that the NBA championships has had equally competing teams, the probability of the observed distribution of length of series or the probability of deviation away from the assumption is 67%....

By purchasing this solution you'll be able to access the following files:
Solution.docx.

50% discount

Hours
Minutes
Seconds
$18.00 $9.00
for this solution

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

Find A Tutor

View available Applied 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.

Decision:
Upload a file
Continue without uploading

SUBMIT YOUR HOMEWORK
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