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Q1) Advertisement for particular tax preparation software package claims you can complete your taxes in less than 56 minutes. Random selection of 49 individual's tax preparation times (using software) was collected, and their mean was computed to be 55 minutes. It is known that standard deviation is 4 minutes. Test hypotheses for questions 10, 11, and 12:
H0: μ ≥ 56
Ha: μ < 56(Claim)
i) Calculate the test statistic:
ii) Determine the p-value of the test-statistic:
iii) Is there sufficient evidence to support = claim at significance level alpha = .05? Why?
Engineer suspects that cutting speed (in inches) and feed rate (inches/minute) influence surface finish of metal part. For study engineer collected 4 cutting speeds and 3 feed rates and conducted a 2 factor experiment to get the data in Table with three replications. Carry out ANOVA at α = 0.05 to test for significance of all possible effects.
Table
Feed Rate
Cutting Speed
0.10
0.20
0.30
100
54, 60, 65
79, 68, 80
99, 88, 94
200
98, 89, 94
98, 106, 90
100, 98, 108
300
109, 98, 89
100, 108, 94
99, 82, 102
400
112, 100, 82
94, 104, 108
98, 116, 106
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Create a 95% confidence interval for true mean.
Determine the coefficient of correlation between the two variables. Interpret the value.
Can we conclude that there is a positive association between the size of the home and the selling price? Use the .05 significance level.
Must the company replace old truck? If so which of new trunks must they use? Describe in detail.
Professor Cox needs a volunteer amongst 30 students in his statistical applications course. The average age of his students is 25 years, with the standard deviation of 3 years.
Find out the sample size raised by mean also standard deviation, a sampling distribution may approach among which of the following values.
Calculate the coefficient of skewness and coefficient of variation of minutes spent commuting. What do these statistics tell us?
Another day, it took Eric only 12 minutes to get to work. Using the same formula, determine the z value. Is it positive or negative? Explain why it should be positive or negative.
Assume 1.5% of antennas on new Nokia cell phones are imperfect. For random sample of 200 antennas, determine the probability that: None of the antennas is defective.
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