8-25Determine the sample size for each of the control procedures shown in the following table (assuming a very large population):ParametersRisk of incorrect acceptanceTolerable deviation rateExpected population deviation rateSample size8-26ResultsNumber of deviationsSample sizeSample deviation rateComputed upper deviation rateAuditor's conclusion1105%4%1%LO 8-6Using the sample sizes determined in Problem 8-25 and the number of deviations shown here, determine the sample deviationrate, the computed upper deviation rate, and the auditor's conclusion (i.e., testing results do or do not support operatingeffectiveness of the control) for each control procedure.Control Procedure5%5%2%225310%7%Control Procedure3%4343410%8%4%

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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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QUESTION 1 Suppose that a survey was commissioned by the Ministry of Finance in order to determine the income of local vendors as part of their project aimed at investigating the feasibility of the presumptive tax. A sample of 26 local vendors was selected and their sample mean monthly income and variance was found to be $ 7 600 and $1 250 ($ squared), respectively. a) A representative of the local vendors argues that the local vendors‘ average monthly income is not more than $ 7 500. Conduct a hypothesis test at a 2.5% level of significance to determine the validity of the claim made by the local vendors’ representative? b) If the hypothesis test in (a) was to be conducted at a level of significance greater than 2.5%, what will be the conclusion? c) Explain the reasons for hypothesis testing using a practical example?
10.56 for the two breeds of hogs in problem 10.54, test the claim that hogs of breed A tend to show less variability in weight gain than hogs of breed B. Use the F-statistic computed as a fraction with one sample variance in the numerator and the other in the denominator. State the conclusion in words, and state any assumptions required for the validity test.
Class 1 Final Sample Size: 30 Sample Variance: 80.55 Sample Mean: 44.2917 Class 2 Final Sample Size:30 Sample Variance: 55.29 Sample Mean: 36.4833 The assignment says to use the Z test for means and assume the hypothesized difference is 0. 1. Is there a significant difference in the means of the two finals at the .01 level of significance? 2. Why or why not?
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) H0: μ1 − μ2 ≥ 0HA: μ1 − μ2 < 0 x−1x−1 = 255 x−2x−2 = 264 s1 = 33 s2 = 15 n1 = 9 n2 = 9 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) a-2. Find the p-value. multiple choice 1 p-value < 0.01 0.01 %media:le.png% p-value < 0.025 0.025 %media:le.png% p-value < 0.05 0.05 %media:le.png% p-value < 0.10 p-value 0.10 a-3. Do you reject the null hypothesis at the 10% level? multiple choice 2 Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is…
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) H0: μ1 − μ2 ≥ 0HA: μ1 − μ2 < 0 x⎯⎯1x¯1 = 249 x−2x−2 = 262 s1 = 35 s2 = 23 n1 = 10 n2 = 10 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) a-2. Find the p-value. multiple choice 1 p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 a-3. Do you reject the null hypothesis at the 5% level? multiple choice 2 Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is less than the significance level. Yes,…
You have been assigned to test the hypothesis that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works. The following data summarizes the sample statistics for the number of hours worked per week for workers in each country. Assume that the population variances are unequal. American Swede Sample mean 32.7 hours 28.2 hours Sample size 15 12 Sample standard deviation 5.1 hours 6.0 hours If population 1 is defined as American workers and population 2 is defined as Swedish workers, the degrees of freedom for this hypothesis are?
A district sales manager wishes to determine whether there is a difference in mean daily sales volume between two stores in his district. He collects daily sales volume for the month of June to do the analysis. Assume that the population standard deviations are unknown and unequal. The hypothesis test is to be conducted using the 0.01 level of significance. Partial output of his results from Excel can be found in the table below: Store 1 Store 2 Sample size (n) 30 30 Sample mean daily sales volume (in $1,000) 15 19 Sample standard deviation (in $1,000) 5.2 6.1 Degrees of freedom 56 What is the critical value of the test statistic? Multiple Choice −1.645 ±1.960 ±2.667 ±2.395
1. In which of the following situations would unequal sample sizes in conditions of an ANOVA be problematic? a. if the sample sizes are large and the discrepancy between sample means is large b. if the populations from which samples are selected are not normally shaped and the discrepancy between condition sample sizes is large c. if the populations from which the sample sizes are selected are normally shaped and the discrepancy between condition sample sizes is large d. if the sample sizes are large and the discrepancy between sample means is not large 2. A research study comparing three treatments with n = 5 in each treatment produces T 1 = 5, T 2 = 10, T 3 = 15, with SS 1 = 6, SS 2 = 9, SS 3 = 9, and Σ X 2 = 94. For this research study, what is SS total? a. SStotal = 68 b. SStotal = 34 c. SStotal = 10 d. SStotal = 24 3. Which of the following is consistent with the alternative hypothesis regarding the main effect of Factor…
question 1: What is the critical value for an upper‐tailed hypothesis test of the population mean when the population variance is unknown in which a null hypothesis is tested at the 0.01 level of significance based on a sample size of 22? Options 2.518 1.721 1.734 1.323 Question 2: The state lottery office claims that the average household income of those people playing the lottery is at least $37,000. Assume that the distribution of household income of those people playing the lottery is normally distributed with a standard deviation of $5,000. Suppose that for a sample of 16 households, it is found that the average income was $35,000. What is the test statistic for this test? Options t = ‐1.76 t = ‐0.96 t = -2.00 t = -1.60
Connsider data from Problem 3.28. Determine the sample mean, median, mode (if it exists), range, sample variance and standard deviation, coefficient of variation, Pearson's second coefficient of skewness, and coefficient of kurtosis of the given data set. Describe the skewness and kurtosis of the given data set.
If the mean and variance are computed for each sample in an independent-measures two-factor experiment, then which types of sample data will tend to produce large F-ratios for the two-factor ANOVA? a. large differences between sample means and small sample variances b. large differences between sample means and large sample variances c. small differences between sample means and small sample variances d. small differences between sample means and large sample variances
Question 3. Two samples of sizes 15 and 16 are drawn from two normally distributed populations havingmeans of 16 and 11, respectively. If the sample variances are 6 and 5, determine whether the firstsample has a significantly lower variance than the second sample at a 0.025 significance level.

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B-25 Determine the sample size for each of the control procedures shown in the following table (assuming a very large population): Control Procedure