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 and older volunteer from one to nine hours each week to spend time with a disabled senior citizen. The program recruits among community of high school, college students, and graduate students. The group wanted to test their claim that the number of hours volunteered is dependent of the type of volunteer. Choose the appropriate hypothesis for the problem.With individual lines at its various windows, a bank finds that the standard deviation for a normally distributed waiting times on Friday afternoons is 8.2 mins. The bank experiments with a main single waiting line and finds that for a random sample of 25 customers, the waiting times have a standard deviation of 3.8 mins. This is to test the banks claim that a single line causes lower variation among the waiting times for customers. Choose the appropriate hypothesis for the problem.

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Answered: The average size of a coconut farm in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 and older volunteer from one to nine hours each week to spend time with a disabled senior citizen. The program recruits among community of high school, college students, and graduate students. The group wanted to test their claim that the number of hours volunteered is dependent of the type of volunteer. Choose the appropriate hypothesis for the problem.
With individual lines at its various windows, a bank finds that the standard deviation for a normally distributed waiting times on Friday afternoons is 8.2 mins. The bank experiments with a main single waiting line and finds that for a random sample of 25 customers, the waiting times have a standard deviation of 3.8 mins. This is to test the banks claim that a single line causes lower variation among the waiting times for customers. Choose the appropriate hypothesis for the problem.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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