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Chapter 8: Q74E (page 500)
Given \({v_1}\,and\,{v_2}\) find the following probabilities:
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Business sign conservation. The Federal Highway Administration (FHWA) lately issued new guidelines for maintaining and replacing business signs. Civil masterminds at North Carolina State University studied the effectiveness of colorful sign conservation practices developed to cleave to the new guidelines and published the results in the Journal of Transportation Engineering (June 2013). One portion of the study concentrated on the proportion of business signs that fail the minimal FHWA retro-reflectivity conditions. Of signs maintained by the. North Carolina Department of Transportation (NCDOT), .512 were supposed failures. Of signs maintained by. County- possessed roads in North Carolina, 328 were supposed. Failures. Conduct a test of the thesis to determine whether the true proportions of business signs that fail the minimal FHWA retro-reflectivity conditions differ depending on whether the signs are maintained by the NCDOT or by the county. Test using 伪 = .05
Question: Consumers鈥� attitudes toward advertising. The two most common marketing tools used for product advertising are ads on television and ads in a print magazine. Consumers鈥� attitudes toward television and magazine advertising were investigated in the Journal of Advertising (Vol. 42, 2013). In one experiment, each in a sample of 159 college students were asked to rate both the television and the magazine marketing tool on a scale of 1 to 7 points according to whether the tool was a good example of advertising, a typical form of advertising, and a representative form of advertising. Summary statistics for these 鈥渢ypicality鈥� scores are provided in the following table. One objective is to compare the mean ratings of TV and magazine advertisements.
a. The researchers analysed the data using a paired samples t-test. Explain why this is the most valid method of analysis. Give the null and alternative hypotheses for the test.
b. The researchers reported a paired t-value of 6.96 with an associated p-value of .001 and stated that the 鈥渕ean difference between television and magazine advertising was statistically significant.鈥� Explain what this means in the context of the hypothesis test.
c. To assess whether the result is 鈥減ractically significant,鈥� we require a confidence interval for the mean difference. Although this interval was not reported in the article, you can compute it using the information provided in the table. Find a 95% confidence interval for the mean difference and interpret the result. What is your opinion regarding whether the two means are 鈥減ractically significant.鈥�
Source: H. S. Jin and R. J. Lutz, 鈥淭he Typicality and Accessibility of Consumer Attitudes Toward Television Advertising: Implications for the Measurement of Attitudes Toward Advertising in General,鈥� Journal of Advertising, Vol. 42, No. 4, 2013 (from Table 1)
Given that xis a binomial random variable, compute P(x)for each of the following cases:
a. n= 7, x= 3, p= .5
b. n= 4, x= 3, p= .8
c. n= 15, x= 1, p= .1
Question: Independent random samples selected from two normal populations produced the sample means and standard deviations shown below.
Sample 1 | Sample 2 |
| role="math" localid="1660287338175" |
a. Conduct the testagainst . Interpret the results.
b. Estimate using a 95% confidence interval
Sanitarium administration of malaria cases. One of the most sedate health challenges in India is malaria. Accordingly, the Indian sanitarium director's must-have鈥攖he coffers to treat the high volume of admitted malaria cases. A study published in the National Journal of Community Medicine (Vol. 1, 2010) delved into whether the malaria admission rate is more advanced in months than in others. In a sample of 192 sanitarium cases admitted in January, 32 were treated for malaria.
In an independent sample of 403 cases admitted in May (4 months latterly), 34 were treated for malaria.
a. Describe the two populations of stake in this study.
b. Give a point estimate of the contrast in the malaria admission rates in January and May.
c. Find a 90% confidence interval for the contrast in the malaria admission rates in January and May.
d. Based on the interval, part c, can you conclude that contrast exists in the authentic malaria admission rates in January and May? Simplify.
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