4. In a test of the hypothesis Ho : u = 10 versus H. : 4 # 10, a sample of n =I = 10.8 and standard deviation s = 3.1.50 observations possessed mean(a) Find an interpret the p-value for this test and answer a question regarding the interpretation of the result ifa = 0.10.The p-value is(Fill in the blank; round to four decimal places, as needed.)You should find one of the following useful:P(z > 2.311) z 0.0104 P(z < -0.711) z 0.2385 P(z > 1.825) z 0.0340 P(z < 1.431) z 0.9238"There is sufficient evidence to reject Họ for a = 0.10." TRUE or FALSE (Circle the correct answer.)(b) Use the rejection region approach for part A. Why is this result equivalent to the p-value method? Draw apicture and/or explain in words.You should find one of the following useful:2, 10 1.282z.0, 1.6452025 1.9601 2.3262005 2.576Bonus (4 points). Suppose that instead of n = 50 observations, you were only able to attain a sample of n = 15observations. In this case, compute the test statistic and provide the recipe for computing the p-value. (Hint: Thissample is not large and we do not know o, and so you cannot rely on the z-distribution.)

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Description: 4. In a test of the hypothesis Ho : u = 10 versus H. : 4 # 10, a sample of n =I = 10.8 and standard deviation s = 3.1.50 observations possessed mean(a) Find an interpret the p-value for this test and answer a question regarding the interpretation of

Given Information: Null Hypothesis H0:μ=10 Alternative Hypothesis Ha:μ≠10 Sample size n=50 Sample…

Math

Statistics

4. In a test of the hypothesis Ho: = 10 versus H, : # 10, a sample ofn = 50 observations possessed mean T = 10.8 and standard deviation s= 3.1. (a) Find an interpret the p-value for this test and answer a question regarding the interpretation of the result if a = 0.10. The p-value is (Fill in the blank; round to four decimal places, as needed.) You should find one of the following useful: P(z 2 2.311) = 0.0104 P(z <-0.711) = 0.2385 P(z 2 1.825) 0.0340 P(: < 1.431) 0.9238

4. In a test of the hypothesis Ho: = 10 versus H, : # 10, a sample ofn = 50 observations possessed mean T = 10.8 and standard deviation s= 3.1. (a) Find an interpret the p-value for this test and answer a question regarding the interpretation of the result if a = 0.10. The p-value is (Fill in the blank; round to four decimal places, as needed.) You should find one of the following useful: P(z 2 2.311) = 0.0104 P(z <-0.711) = 0.2385 P(z 2 1.825) 0.0340 P(: < 1.431) 0.9238

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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4 The principal claimed that the student IQ in the school was 78. A random sample of 20 students was tested and showed mean score of 85, with a standard deviation of 8. Is this group significantly higher in IQ at the .01 level of significance? 5. The diameter of 110 tin cans by SIMBA Co. averaged 16.5 cms. with a standard of 2.54 cms. Is the diameter of the group significantly lower than the length of the diameter of the tin cans which is 20 cms.? 6. The average weight of a can of milk produced by TIBA Co. is 2.3 kgs. A random sample of 15 cans of milk was weighed and showed a mean weight of 2 kgs. with a standard deviation of 0.13 kgs. Test the hypothesis that the mean weight of these cans is lesser than what is standard at the .01 level of significance. 7. A random sample of 10 drinks from a soft drink machine was an average content of 18.9 deciliters with a standard deviation if 2.38 deciliters. Determine at the .05 level of significance if this group is significantly different from…
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In a certain city, the true probability of a baby being a boy is 0.559. Among the next eight randomly selected births, find the probability that at least one of them is a boy. (round to three decimal places) Group of answer choices 0.559 0.898 0.999 0.899
For the NM March rainfall in inches: How many months (of March for NM rainfall) would need to be selected in a new sample to achieve a standard error of no more than 0.125 inches? Note: For the twenty months NM March rainfall the sample mean was 1.4805 inches and the sample standard deviation is 0.97123 inches.
5. An inspector wants to test if the Coke-litro-filling machine is defective by getting a random sample of 22 Coke litro from different batches filled by the machine. It is found out that the sample mean of the random sample is about 1.09 liters with a sample standard deviation of 0.15 liters. Which among the values below is the value of t? a. t ≈ 2.8142 b. t ≈ 1.232 c. t ≈ -1.232 d. t ≈ -2.8142
2. 1Q scores tend to be normally distributed with a mean of 100 and a standard deviation of 15. What is the IS percentage of people that have an IQ score: a) Greater than 100 b) Between 85 and 130 c) Less than 90 d) Between 90 and 110
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18. The average salary in this city is $46,400. Is the average more for single people? 54 randomly selected single people who were surveyed had an average salary of $48,011 and a standard deviation of $16,440. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0: H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly greater than 46,400 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean salary for singles is greater than 46,400. The data suggest that the sample mean is not significantly greater than 46,400 at αα = 0.05, so there is statistically…
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a) For each of the following quantities, indicate whether it can NEVER be negative or can SOMETIMES be negative. Standard deviation Interquartile range Z-Score b) Which would be larger – the standard deviation of the weights of 1000 randomly selected people, or the standard deviation of the weights of 10 randomly selected cats (ordinary domestic cats)?