Twenty patients sampled at random were matched by ageand BMI. One of each pair was assigned at random to a new treatment and the other toan existing treatment. Ultrasound examination of a certain tumourtwdght (in grams)produced the following results.12.5 6.510.58.9.9 10.5Existing Treatment 15.55.8.5 10.68.410New Treatment145.711.51077.58.To answer the following questions, report the numerical computations to four decimalplaces.(a) Test whether there is a difference in the two treatments at 5% level of significance.(b) Find a 90% confidence interval for the mean difference in the treatments.(c) What would be the conclusion in (a) if we had wrongly ignored the pairing?

Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Answered: Twenty patients sampled at random were…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4.7, 5.0, 5.5, 4.2, 5.5, 5.9, 4.7, 5.4, 3.8 - samples of % peroxide in samples taken. determine the interquartile range, variance, and standard deviation of the percent peroxide data. use 2 decimal points for rounding and provide units
construct a 90% condifence interval for the population mean of total calcium in this patient blood
Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test. State the appropriate hypotheses. | H₂: M₁ = H₂ = H3 = H4 H₂: all four μ's are unequal • Ho: M₁ = H₂ = H3 = H4 H₂: at least two μ's are unequal ⒸH₂² H₁ H₂ H3 H4 # H: all four μ's are equal O Ho: M₁ #M₂ #H3 H4 H₂: at least two μ's are equal Compute the test statistic value. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence…
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In the 2015 AFC championship game, there was a charge the New England Patriots underinflated their footballs for an advantage. The balls should be inflated to between 12.5 and 13.5 pounds per square inch. The accompanying data consists of eleven of the twenty-two measurements on the Patriots' footballs. Complete parts a and b 10.85 11.95 11.00 10.95 11.35 10.90 10.50 11.10 11.85 11.55 10.70 O a. Test the hypothesis that the population mean is less than 12.5 psi using a significance level of 0.05. State dearly whether the Patriots' footbalis are underinflated or not. Assume the conditions for a hypothesis test are satisfied. Determine the null and alternative hypotheses. Choose the correct answer below. OB. H:p 12.5 H us 125 OD. Ho: 12.5 Hu> 12.5 C. H 12.5 H ps125 OF H:p12.5 H 125 H2 125 OE Ho:u#125 H 125 The test statistic is -9.57 (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.)
Genetic drugs are lower cost substitutes for brand-name drugs. Before a genetic drug can be sold in the United States, it must be tested found to perform equivalently to the brand-name product. The U.S. Food and Drug Administration is now supervising the testing of new genetic antifungal ointment. The Brand-name ointment is known to deliver a mean of 3.5 micrograms of active ingredient to each square centimeter of skin. As part of the testing, seven subjects apply the ointment. Six hours later, the amount of drugs that has been absorbed into the skin measured. The amounts, in micrograms, are 2.6, 3.2, 2.1, 3.0, 3.1, 2.9, 3.7 How strong is the evidence that the mean amount absorbed differs from 3.5 micrograms? Test by using a confidence interval with ?=0.05α=0.05. Show Step1-Step3. Round critical value to nearest hundredth. (e.g. 0.1256 would be entered as 0.13) Round confidence interval to nearest thousandth. (e.g. 0.12456 would be entered as 0.125)
Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.4 0.643 2.4 0.57 1.5 0.46 2.6 0.895 5.9 0.2 3.4 0.54 3.8 0.245 1.6 0.583 5.7 0.769 1.7 0.215 (a) Construct a 9999% confidence interval for the mean lead level in water specimans of the subdevelopment. ≤μ≤
Consider a sample data set with the summary statistics s= 112, Q = 58, and Q, =203. %3D a. Calculate IQR. b. Calculate IQR/s. c. Is the value of IQR/s approximately equal to 1.3? What does this imply? a. IQR =

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