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Q1) Recent survey illustrates that 680 out of 1050 respondents agree with principle of University top-up fees. Use this data to deduce 95% and 99% confidence intervals for proportion of the general population in favour of such fees. Compute a p-value for the null hypothesis H0: p = 2/3 against the alternative H1 : p ≠ 2/3 . Is it sensible to argue that two-thirds of the general population are in favour of such fees?
Q2) 9 students follow diet over Easter holidays: their weights (in kg) before and after the diet are:
Before
65.4
46.3
56.4
49.2
54.5
55.1
53.5
46.6
58.9
After
61.7
46.1
48
51.8
48.7
52.6
45
58
Stating assumptions on which your arguments and conclusions are based, sum up the statistical evidence regarding effectiveness of this diet.
A confidence interval increases in width as:
A statistics instructor wants to know which route will get her to school the fastest. Each day from October 2 to November 15, when she gets to the turn point she checks the odometer on her car
What would you recommend Taylor do to cut back its labor cost? (Illustrate using an ABC plan.)
How many cans of paint should the sample contain if the researcher wants to be 98% certain of being within one percentage point of the true proportion of this chemical?
At the end of 24 weeks of treatment, subjects were classified as responders or non-responders to treatment based on a battery of psychological tests.
the probability that a household is both prosperous and educated is P (A and B) = 0.082. What is the probability P (A or B) that the household selected is either prosperous or educated.
Standard deviation was increased to 40, determine the overall effect on their society? Would this change be a good thing?
Assume a business researcherwishes to test hypothesis that greater proportion of marketing managers keep track of such obligations.
The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes.
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Solve the equations using linear algebra
Using a 5% level of significance, is there any difference in proportion of guests who would select the two resorts? What is your conclusion?
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