MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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I only need assistance with parts A and B.
Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a
- 5.7
- 4.8
- 6.0
- 4.9
- 4.0
- 3.4
- 6.5
- 7.1
- 5.3
- 6.1
The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.1%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.1%? Use α = 0.01.
(a)
What is the level of significance? (Enter a number.)State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
H0: μ = 4.1%; H1: μ > 4.1%; right-tailedH0: μ = 4.1%; H1: μ < 4.1%; left-tailed H0: μ > 4.1%; H1: μ = 4.1%; right-tailedH0: μ = 4.1%; H1: μ ≠ 4.1%; two-tailed
(b)
What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.The Student's t, since n is large with unknown σ.The standard normal, since we assume that x has a normal distribution with unknown σ. The Student's t, since we assume that x has a normal distribution with known σ.The standard normal, since we assume that x has a normal distribution with known σ.
Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.)
(c)
Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.)Expert Solution
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