# MGEB12H3 Lecture Notes - Lecture 2: Type I And Type Ii Errors, Null Hypothesis, VarianceExam

by OC2447826

Department

Economics for Management StudiesCourse Code

MGEB12H3Professor

ATA Lecture

2This

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TUTORIAL-2

1. A random sample of 20 observations taken from a normally distributed population

revealed a sample mean of 65 and a sample variance of 16. The lower limit of a 90%

confidence interval for the population mean would equal: (B)

A. 63.247

B. 63.454

C. 63.528

D. 66.188

E. 68.129

)20(/4729.165 sqrt

Questions 2-3: A box of cereal is listed as containing 10 ounces of oat-nut clusters. A

consumer-rights group is worried that the cereal company is systematically under-filing

the boxes. They found that a random sample of 26 boxes had an average weight of 9.876

ounces with a sample standard deviation of s = 0.483.

2. The null and alternative hypotheses are: (A)

A. H0: μ ≥ 10; H1: μ < 10

B. H0: μ ≠ 10; H1: μ = 10

C. H0: μ = 10; H1: μ ≠ 10

D. H0: μ = 10; H1: μ ≥ 10

E. H0: μ = 10; H1: μ > 10

3. The p-value for the test is approximately: (D)

A. between .01 and .05

B. between .05 and .075

C. 095.0

D. >.1

E. >.2

4. For testing the hypotheses H0: P = .75 versus H1: P > .75 at 5% significance level, we

obtain a sample of n = 100 and p = .83. The Type-I error for this test is approximately:

(B)

A. 0.025

B. 0.032

C. 0.050

D. 0.068

E. 0.082

847.1

100/25.075.0

75.083.0

Z

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