Consider the following hypothesis test:Но:= 16На: д + 16A sample of 50 provided a sample mean of 14.11. The population standard deviation is 6. Enter negative value as negative number.a. Compute the value of the test statistic (to 2 decimals).b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations.c. Using a = 0.05, can it be concluded that the population mean is not equal to 16?- Select your answer - ♥d. What is the rejection rule using the critical value?Reject Ho if z is- Select your answer -v the lower critical value and is- Select your answer -the upper critical value.Using a =0.05, what are the critical values for the test statistic? (+ or -)(to 2 decimals)Can it be concluded that the population mean is not equal to 16?- Select your answer - ♥

One sample z-test is used to test the difference between sample mean and population mean when the…

Answered: Consider the following hypothesis test:…

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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The Transportation Security Administration would like to compare the average amount of time it takes passengers to pass through airport security at Philadelphia versus Orlando during peak times. A random sample of 25 travelers in Philadelphia spent an average of 14.6 minutes to pass through airport security with a sample standard deviation of 5.8 minutes. A random sample of 27 travelers in Orlando spent an average of 11.5 minutes to pass through airport security with a sample standard deviation of 4.9 minutes. Perform a hypothesis test using α = 0.05 to determine if the average time to pass through security in Philadelphia is more than the average time to pass through security in Orlando. Assume the population variances for time through security at these two locations are equal. Hint: the alternative hypothesis should be μ1 - μ2 > 0.
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a higher waiting time? The 12 randomly selected patients who went to the emergency room at rural hospitals waited an average of 8.5 hours to be admitted into the hospital. The standard deviation for these 12 patients was 1.9 hours. What can be concluded at the the αα = 0.01 level of significance level of significance? The null and alternative hypotheses would be: H0: μ = ____________ H1: μ > _____________ The test statistic t = __________ (please show your answer to 3 decimal places.) The p-value = ________________ (Please show your answer to 4 decimal places.)
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 10 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6.2 hours to be admitted into the hospital. The standard deviation for these 10 patients was 1.6 hours. What can be concluded at the the αα = 0.01 level of significance level of significance? The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer = > ≠ < H1:H1: ? μ p Select an answer ≠ < = > The test statistic ? t z Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
A chemical engineer claims that the average daily yield of a chemical manufactured in a chemical plant is 880. A sample of 50 daily yields is taken, and the sample mean is determined to be 871, with a standard deviation of 21. What would be the null hypothesis?
A recent Time magazine reported the following information about a sample of workers in Italy and the United States. United States Italy Average length of workweek (hours) 42 38 Sample standard deviation of length of workweek (hours) 5 6 Sample size 600 700 We wouldd like to determine whether or not there is a significant difference between the average workweek in the US and that in Italy. A. State the null and the alternative hypotheses. Use 1 to represent United States and 2 to represent Italy. H0: Ha: Null: p1 ≤ p2; Alternative: p1 > p2 Null: p1 ≥ p2; Alternative: p1 < p2 Null: p1 = p2; Alternative: p1 ≠ p2 Null: mu1 ≥ mu2; Alternative: mu1 < mu2 Null: mu1 ≤ mu2; Alternative: mu1 > mu2 Null: mu1 = mu2; Alternative: mu1 ≠ mu2 B. The value of the test statistic is 178.32 13.11 1.90 C. The test statistic is a t-score chi-square statistic z-score
The average size of a coconut farm in Lucban, Quezon is 79.7 hectares. The average size of a coconut farm in Luisiana, Laguna is 90.5 hectares. Given that from the samples, standard deviations and sample sizes were 12.3 and 5.2, and 8 and 10, respectively. Can it be concluded at 5% level of significance that the average size of the farms in the two municipalities is different? Given the hypotheses: Ho: ?1 – ?2 = 0; Ha: ?1 – ?2 ≠ 0. Determine the test statistic and decision. (Assuming the population variances are unequal) A sample of nine LGUs show their investments (in million pesos) 5 years ago and their investments (in million pesos) at present. At 0.05 level of significance, can it be concluded that the average deposit for the bank is greater today than it was 5 years ago? Given that the means and standard deviation of the differences is −1.028 and 1.87, respectively. Determine the test statistic and decision. (Note: Tabulated value = -2.57) In a volunteer group, adults of ages 21…
According to the Annual survey of drugs expenditure in country X, the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individuals in the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given that the population standard deviation of $300. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast and Identify whether it is a two-tail test or a one tail test Ii decide the suitable test statistics and justify your selection. Iii Calculate the value of the relevant test statistics and identify the P value Based on the p value in part (III), at 99% confidence level, decide the decision criteria. Make the final conclusion based on the analysis.
According to the Annual survey of drugs expenditure in country X, the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individuals in the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given that the population standard deviation of $300. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast and Identify whether it is a two-tail test or a one tail test (Left or right tail). Decide the suitable test statistics and justify your Calculate the value of the relevant test statistics and identify the P value Based on the p value in part (III), at 99% confidence level, decide the decision Make the final conclusion based on the analysis.
According to the Annual survey of drugs expenditure in country X, the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country.A sample of 60 individuals in the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given that the population standard deviation of $300. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast and Identify whether it is a two-tail test or a one tail test (Left or right tail). Decide the suitable test statistics and justify your selection. III. Calculate the value of the relevant test statistics and identify the P value Based on the p value in part (III), at 99% confidence level, decide the decision criteria. Make the final conclusion based on the analysis.
A student at a four-year college claims that enrollment at four–year colleges is higher than at two–year colleges in the United States. Two surveys are conducted. Of the 35 two–year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Use the following format to do the hypothesis test: a. H0: _______ b. Ha: _______ c. In words, clearly state what your random variable X represents. 1 − X 2 d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value. h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an…

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