Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 16.3, Problem 21E
The given data on phosphorus concentration in topsoil for four different soil treatments appeared in the article “Fertilisers for Lotus and Clover Establishments on a Sequence of Acid Soils on the East Otago Uplands” (New Zealand Journal of Experimental Agriculture [1984]: 119–129).
Use the KW test and a 0.01 significance level to test the null hypothesis of no difference in true
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Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of
compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the
treatments (cars types). Using the hypothetical data provided below, test whether the mean
pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%.
Compact cars
Midsize cars
Full-size cars
643
469
484
655
427
456
702
525
402
Mean
666.67
473.67
447.33
Standard deviation
31.18
49.17
41.68
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%.
Compact
Midsize
Full-size
643
655
702
680
672
469
427
525
495
483
484
465
402
476
435
State the null and alternate hypothesis for the data.
Given the results, what will be the conclusion of the team?
Dr. Maddan's eye drops are supposed to cause significant reduction is eye redness. The following table shows the
results of a recent study where a random sample of individuals took part in a placebo controlled study.
No Reduction
in Redness
Reduction in
Redness
Total
Eye Drops
120
220
340
No Eye Drops Total
120
140
260
240
360
600
With 5% level of significance, determine if eye redness reduction is dependent upon taking the eye drops. Provide,
a. the Chi-square statistic.
b. the critical value or the p-value.
c. Your decision on whether or not to reject Ho.
Chapter 16 Solutions
Introduction To Statistics And Data Analysis
Ch. 16.1 - Urinary fluoride concentration (in parts per...Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - A blood lead level of 70 mg/ml has been commonly...Ch. 16.1 - The effectiveness of antidepressants in treating...Ch. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.2 - The effect of a restricted diet in the treatment...Ch. 16.2 - Peak force (N) on the hand was measured just prior...Ch. 16.2 - In an experiment to study the way in which...
Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - The signed-rank test can be adapted for use in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - The given data on phosphorus concentration in...Ch. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - The following data on amount of food consumed (g)...Ch. 16.3 - The article Effect of Storage Temperature on the...
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- Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = .05. Use a post hoc test to determine which pairs of mean are significantly different. Explain in what way are they different. Car: Compact Midsize Full-size 1 643 469 484 2 655 427 456 3 702 525 402 M 666.67 473.67 447.33 s 31.18 49.17 41.68 SS 1944.39 4835. 38 3474.45 Source SS df MS F Between 86049.556 2 43024.778 25.1749 Within 10254.22 6 1709.0367 Total 96303.776 8arrow_forwardThree samples of each of three types of PVC pipe of equal wall thickness are tested to failure under three temperature conditions, yielding the results shown below. Research questions: Is mean burst strength affected by temperature and/or by pipe type? Is there a “best” brand of PVC pipe? Burst Strength of PVC Pipes (psi) Temperature PVC1 PVC2 PVC3 Hot (70º C) 247 299 239 277 287 262 283 275 279 Warm (40º C) 325 341 297 322 319 315 296 335 304 Cool (10º C) 358 375 327 366 352 334 338 359 340 Click here for the Excel Data File (a-1) Choose the correct row-effect hypotheses. a. H0: A1 ≠ A2 ≠ A3 ≠ 0 ⇐⇐ Temperature means differ H1: All the Aj are equal to zero ⇐⇐ Temperature means are the same b. H0: A1 = A2 = A3 = 0 ⇐⇐ Temperature means are the same H1: Not all the Aj are equal to zero ⇐⇐ Temperature means differ a b (a-2) Choose the correct column-effect hypotheses. a. H0: B1 ≠ B2 ≠ B3 ≠ 0 ⇐⇐…arrow_forwardThe article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Can you conclude that the mean arsenic concentration in whitefish in Yellowknife Bay is greater than 0.3 mg/kg?arrow_forward
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