DISCRETE MATHEMATICS+ITS APPL. (LL)-W/A
DISCRETE MATHEMATICS+ITS APPL. (LL)-W/A
8th Edition
ISBN: 9781260521337
Author: ROSEN
Publisher: MCG
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Chapter A, Problem 9E
To determine

To prove:

for all real numbers x and y, xy=(x+y).

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The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.941. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 205 kilograms and can sprint 10 meters in 2.01 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r (Round to three decimal places a going from 0.941 to - gets stronger, gets weaker, stays the same,
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 36 28 25 27 29 35 32 39 31 28 380 22 26 29 24 27 24 30吋 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H₂? ○ A. Ho: μ31 Нa: μ≤31 E. Ho: "=31 Ha: μ 31 OF. Ho: μ=31 Нa: μ31
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. μ Claim: <4715; α = 0.05 Sample statistics: x = 4917, s = 5501, n = 54 What are the null and alternative hypotheses? Ho: Ha (Type integers or decimals. Do not round.) Find the standardized test statistic t. t = ☐ (Round to two decimal places as needed.) Find the P-value. P = (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Ho. There enough evidence at the ☐ % level of significance to Fail to reject Reject .... the claim.
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