2 A two-sample t - test of the hypotheses Ho ; µi - Hz = 0versus H1 ; i - µ2 >0 produces a p-value of 0.032. Which ofthe following must be true?1. A 90% confidence interval for the difference in means will contain thevalue 0.II. A 95% confidence interval for the difference in means will contain thevalue 0.II. A 99% confidence interval for the difference in means will containthe value 0.III onlyO l and Il onlyO Il and III onlyO I, II, and IIO l only

According to decision Rule, if the p-value is less than the level of significance then we reject…

Answered: A two-sample t - test of the hypotheses…

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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A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The t-value for a 95% confidence interval is: A. 2.09302 B. 1.724718 C. 2.08596 D. 1.729133 E. none of the preceding
Based on your confidence interval from the previous problem, can you conclude that the mean permeability coefficient at 60∘60∘C differs from that at 61∘61∘C at the 0.05 level of significance? A. Yes, because the 95% confidence interval includes 0 B. No, because the 95% confidence interval includes 0 C. Yes, because the 95% confidence interval does not include 0 D. No, because the 95% confidence interval does not include 0 E. It is impossible answer this question only using the 95% confidence interval.
A random sample of size n1=23, taken from a normal population with a standard deviation σ1=5, has a mean x1=77. A second random sample of size n2=37, taken from a different normal population with a standard deviation σ2=3, has a mean x2=38. Find a 96% confidence interval for μ1−μ2.
Suppose we took a random sample of 200 students and ask if they preferred morning, evening, or night classes. a.If 76 students preferred morning classes what is the 95% CI for the proportion of students who prefer morning classes? b. Based on this confidence interval what would be the decision to the hypothesis: H0 = .3 vs Ha ≠ .3 using alpha = .05? c.How large a sample should be taken in order to estimate the proportion to within 2%, with 99% confidence?
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A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 70 cans, 51 meet the specification for puncture resistance. a) Find the sample size needed for a 90% confidence interval to specify the proportion to within ±0.06. Round up the answer to the nearest integer. b) If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions? Round the answer to three decimal places.
A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 70 cans, 59 meet the specification for puncture resistance. (a) Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. (b) How to interpret the confidence interval in part (a)? (c) Find the sample size needed for a 90% confidence interval to specify the proportion to within ±0.06. (d) If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions?
Based on a large sample of capacitors of a certain type, a 95% confidence interval for the mean capacitance, in μF, was computed to be (0.213, 0.241). Find a 90% confidence interval for the mean capacitance of this type of capacitor.
Suppose we have a sample mean of 12, an estimated standard error of the mean of 2.5, and a t-critical value of 2.306. What would be the lower and upper limits of our confidence interval as we try to estimate a new population mean?
A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The t-value for a 95% confidence interval is:
In a sample of 30 participants, a researcher estimates the 95% CI for a sample with a mean of Μ1-Μ2 = 0.7 and an estimated standard error for the difference sΜ1-Μ2 of 0.2. What is the confidence interval at this level of confidence?
A sample of size n=49 is drawn from a popular whose standard deviation is q=4.8. a. Find the margin of error for a 95% confidence interval for "u". b. If the sample size were n=60, would the margin of error be larger or smaller?

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