Question 2. In Aedirn, a fictional country, it is believed that the natural ratio of girls to boysis 100:105 (48.8% girls). You don't believe the reported figures of the percentage of girlsborn in Aedirn. So, you counted the number of girls and boys born in 107 randomly chosenrecent births and found that there are 50 girls and 57 boys (46.7% girls). Using this data,you want to know whether the ratio, 100:105, is reliable.(a) Select the correct hypothesis.Ho p= 0.488 versus Hap<0.488.:Ho p ≤ 0.467 versus Ha p > 0.467.:Ho p = 0.467 versus Hap‡ 0.467.Ho p= 0.488 versus Hap‡ 0.488.(b) State the conditions that allow Normal approximation to the sampling distribution of pand check if the conditions are satisfied.(c) Under Ho, what are the mean and variance of p.(d) Test Ho at the significance level a = 0.1.

Let p be the population proportion of girls in Aedirn. Given that, Population proprotion (p) = 48.8%…

Answered: Select the correct hypothesis. Ho p =…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What is b
K Among a random sample of 150 employees of a particular company, the mean commute distance is 25.2 miles. This mean lies 1.7 standard deviation(s) below the mean of the sampling distribution. In a second sample of 150 employees selected from the same company, the mean commute distance is 31.7 miles. This second sample mean lies 2 standard deviation(s) above the mean of the sampling distribution. If a third sample of 150 employees is selected, what is the probability that the sample mean will lie between 25.2 and 31.77 OA. 0.9772 OB. 0.045 OC. 0.933 OD. 0.022
Suppose x has a normal distribution with mean u = 37 and standard devlation g = 15. Describe the distribution of x values for sample size n= 4. (Round o, to two decimal places.) Describe the distribution of x values for sample size n = 16. (Round o, to two decimal places.) 長= Describe the distribution of x values for sample size n = 100. (Round o, to two decimal places.) How do the x distributions compare for the various samples sizes? O The means are the same, but the standard deviations are decreasing with increasing sample size. O The standard deviations are the same, but the means are increasing with increasing sample size. O The means are the same, but the standard deviations are increasing with increasing sample size. O The standard deviations are the same, but the means are decreasing with increasing sample size. O The means and standard deviations are the same regardless of sample size. Us O9 A 3:" 9%
The standard deviation of any sampling distribution is called a: A. Standard error B. Type- I error C. Non-sampling error D. Type II-error
Suppose that 70% of residents in a certain city own at least one pet. You select a random sample of 30 city residents. Let X = the number of residents that own at least one pet. Would it be appropriate to use a normal distribution to model the sampling distribution of X? No, there are at least 10 "successes" expected, but there are not at least 10 "failures" expected. It is not appropriate to use a normal distribution to model the sampling distribution of X. No, the sample size is greater than 10, so it is not appropriate to use a normal distribution to model the sampling distribution of X. Yes, the sample size is at least 30, so it is appropriate to use a normal dist bution to model the sampling distr ution of X. Yes, there are at least 10 "successes" expected and 10 "failures" expected so it is appropriate to use a normal distribution to model the sampling distribution of X. No, there are not at least 10 "successes" expected, although there are at least 10 "failures" expected. It is…
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Decide whether the normal sampling distribution can be used, If it can be used, test the claim about the population proportion p at the given level of significanice a using the given sample statistics. Claim: ps0.48; a =0.01; Sample statisticn: p=043, n= 100 Can the normal sampling distribution be used? A. Yes, because both np and ng are greater than or equal to 5. B. No, because np is less than 5. OC. No, becauso ng in less than 5. D. Yes, because pq is greater than a= 0.01. State the null and altermative hypotheses. OA. H ps0.48 H, p>0.48 OB. Ho p20.48 H p<0.48 OC. H p-0.48 H, pr0.48 OD. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fillin the answer box to complete your cholce. O A. The critical value(a) islare (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. The test cannot be performed
Distribution of sample means e.
Compute for the mean (??̅) and standard deviation (??̅) of the sampling distribution of the sample means and compare these to the mean and standard deviation of the population.
10) A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 40 mi/hr. A random sample of 15 vehicles has a mean speed of 43 mil/hr and a standard deviation of 4.4 mi/hr. Assume that speeds follow a normal distribution. What statistical test should be used to test the claim? (pick one of the options) 1. t-test 2. 2.73 3. 15 4. 10.9 5. 14 6. z-test 7. 2.52 8. 2.64 Calculate the value of standardized test statistic. (pick one of the options) 1. t-test 2. 2.73 3. 15 4. 10.9 5. 14 6. z-test 7. 2.52 8. 2.64 What is the degree of the freedom for the distribution of the test statistics. (pick one of the options) 1. t-test 2. 2.73 3. 15 4. 10.9 5. 14 6. z-test 7. 2.52 8. 2.64
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p1 and p2 at the given level of significance α using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: p1=p2, α=0.10 Sample statistics: x1=142, n1=156 and x2=144, n2=188 Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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