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State College is estimating the new English composition course for freshmen. Random sample of n = 25 freshmen is obtained and students are placed in course during their first semester. One year later, writing sample is obtained for each student and writing samples are graded using standardized evaluation technique. Average score for sample is M = 76. For general population of college students, writing scores form the normal distribution with the mean of µ = 70.
a. If writing scores for population have standard deviation of σ = 20, does sample give adequate evidence to conclude that new composition course has significant effect?
b. If population standard deviation is σ = 10, is sample sufficient to demonstrate the significant effect? Again, suppose a two-tailed test with α = .05.
c. Briefly describe why you reached different conclusions for part (a) and part (b).
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The 2009 National Assessment of Educational Progress (NAEP) gave a mathematics test to a random sample of eighth-graders in Texas. The mean score was 287 out of 500. To give a confidence interval for the mean score of all Texas eighth-graders, you..
At the 0.01 significance level, can we conclude that the mean number of patients per day is more than 25? Estimate the p-value and interpret it.
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Four percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer and one fourth of those who buy beer buy cigars. The table is given below:
Suppose that this is a simple random sample of adult residents of Maine.
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The probability of error in the transmission of a binary digit over a communication [2] channel is 1=103. Write an expression for the exact probability of more than 3 errors when transmitting a block of 103 bits. What is its approximate value? Ass..
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