Need help with the last 2 at the bottom with red x Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution witho- 3,1%. A random sample of 10 bank stocks gave the following yields (in percents).5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1The sample mean is x= 5.38%. Suppose that for the entire stock market, the mean dividend yield is p = 4.2%. Do these dataindicate that the dividend yield of all bank stocks is higher than 4.2%? Use a = 0.01.(a) What is the level of significance?01State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?O H,: u = 4.2%; H,: u # 4.2%; two-tailed• H,: = 4.2%; H,: p > 4.2%; right-tailedO H,: = 4.2%; H,: u < 4.2%; left-tailedO H,: > 4.2%; H: = 4.2%; right-tailed(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.O The standard normal, since we assume that x has a normal distribution with unknown a.O The Student's t, since n is large with unknown a.O The standard normal, since we assume that x has a normal distribution with known a.O The Student's t, since we assume that x has a normal distribution with known a.Compute the z value of the sample test statistic. (Round your answer to two decimal places.)117) Find (or estimate) the P-value. (Round your answer to four decimal places.)1210

Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with a = 3.1%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is x = 5.38%. Suppose that for the entire stock market, the mean dividend yield is u = 4.2%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.2%? Use a = 0.01. (a) What is the level of significance? .01 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O H: = 4.2%; H,: u # 4.2%; two-tailed H,: = 4.2%; H,A > 4.2%; right-tailed O H,: H = 4.2%; H,: u < 4.2%; left-tailed O H,: H > 4.2%; H,: µ = 4.2%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with unknown a. O The Student's t, since n is large with unknown a. O The standard normal, since we assume that x has a normal distribution with known a. O The Student's t, since we assume that x has a normal distribution with known o. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) 1.17 (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 1210

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Need help with the last 2 at the bottom with red x

Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with
o- 3,1%. A random sample of 10 bank stocks gave the following yields (in percents).
5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1
The sample mean is x= 5.38%. Suppose that for the entire stock market, the mean dividend yield is p = 4.2%. Do these data
indicate that the dividend yield of all bank stocks is higher than 4.2%? Use a = 0.01.
(a) What is the level of significance?
01
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
O H,: u = 4.2%; H,: u # 4.2%; two-tailed
• H,: = 4.2%; H,: p > 4.2%; right-tailed
O H,: = 4.2%; H,: u < 4.2%; left-tailed
O H,: > 4.2%; H: = 4.2%; right-tailed
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The standard normal, since we assume that x has a normal distribution with unknown a.
O The Student's t, since n is large with unknown a.
O The standard normal, since we assume that x has a normal distribution with known a.
O The Student's t, since we assume that x has a normal distribution with known a.
Compute the z value of the sample test statistic. (Round your answer to two decimal places.)
117
) Find (or estimate) the P-value. (Round your answer to four decimal places.)
1210

Expert Solution

Step 1

Given information

Sample mean x̅ = 5.38%

Population mean µ = 4.2%

Sample size = 10

Standard deviation σ = 3.1%

Significance level (α) = 0.01

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