Question

1. T/F a. If we increase our confidence level from 90 then to 95, interval will also increase for same the data. b. Correlation coefficient , and 'm' of regression equation are same. C. A statistical hypothesis is a statement and interpretation about a sample. d. To find the best-fit-line, the correlation coefficient of the paired data is a relevant information 10 T/F T/F T/F T/F 2. MCQ / Short questions a. A company claims that its car has mean mpg 32.5. Write the H, and H, statements. 5. Find the Z value for two-tail test when confidence level is 75%. Show in a graph as well For a Sample Size 28, and Los a 0.025, the rejection region for Two-Tailed t-Test is 1 2.048 <t <2.048 ii.-2.052<t <-2. 052 ili-2.052 <t and t > 2.052 iv. -2.048 <t and t > 2.048 robability between -0.33 < 3 <1.33 is 1. 1.0 1.2789 i 0.2789 iv. 0.5375 tis P(Z > 1.645) i. 0.90 ii. 0.95 iii. 0.05 iv. 0.99 required sample size to test at 95% confidence level with margin of error 2, when sigma = 7.9

Answer 1

Solution:

1. (a)

0.05 0.05 0.90 0.025 0.95 0.025 х Figure 4.1 Comparing the results

If you look at above the graphs, because the area 0.95 is greater than the area 0.90, it makes sense that the 95% confidence interval is wider than the 90% confidence interval.

Hence, Statement is True.

(b)

Correlation coefficient, r tells the strength and direction of association of two variables in regression equation. And Slope m indicates for a unit increase in x, how much change on average in y. Hence, Statement is False,

(c)

Statement is True.

Sol";, O hiven, Mean 4) = 32·S~ Nell Aybochexia Hoi M < 3d-S :- Hy boderin: Ha: M= 345 flaim) or. Alterrabive

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