MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Listed below are the lead concentrations in Ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the
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- Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g. Assume that the sample is a simple random sample. 15.5 3.5 2.5 4 14 6.5 15.5 3.5 16 9 Determine the test statistic._______ Determine the P-value.________ State the final conclusion that addresses the original claim._______arrow_forwardConsider that a random sample of size 12 was selected from a normal population distribution. 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.0 99.6 107.7 103.3 92.4 Do the data suggest that the population mean differs from 100? Use alpha = 0.05.arrow_forwardListed below are the lead concentrations in muμg/g measured in different traditional medicines. Use a 0.010.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 1717 muμg/g. Assume that the lead concentrations in traditional medicines are normally distributed. 1010 13.513.5 16.516.5 19.519.5 2121 13.513.5 3.53.5 22.522.5 1313 3.53.5 What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g B. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμgreater than>1717 muμg/g C. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμnot equals≠1717 muμg/g D. Upper H 0H0: muμgreater than>1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to…arrow_forward
- In a study of store checkout scanners, 1234 items were checked and 21 checked items were overcharges. Use a 0.05 significance level to test the claim that with scanners, 1% of sales are overchanrges. (Before scanners were used, the overcharge rate was estimated to be about 1%). a. Define the parameter A. p = The proportion of all sales that are incorrect B. p = The proportion of all sales that are overcharges C. mu = The mean number of sales that are overcharges D. mu = The proportion of all sales that are undercharges b. State the null and alternative hypotheses A. Upper H 0 : p equals 0.01 Upper H 1 : p not equals 0.01 B. Upper H 0 : p equals 21 Upper H 1 : p less than 21 C. Upper H 0 : p greater than 0.01 Upper H 1 : p equals 0.01 D. Upper H 0 : mu not equals 0.01 Upper H 1 : mu equals 0.01 c. Calculate the sample proportion ModifyingAbove p…arrow_forwardA simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n = 10, x = 57.8 words, s= 16.4 words. Given that this dictionary has 1455 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 48.1 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 48.1 words. What does the result suggest about the claim that there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed. A. Ho: u= 48.1 words H: p> 48.1 words O B. Ho: u= 48.1 words H,: p# 48.1 words O C. Ho: = 48.1 words H:p 48.1 words H:p< 48.1 words Determine the test statistic. 1.87 (Round to two decimal places as needed.)…arrow_forwardListed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 μg/g.Assume that the sample is a simple random sample. 7.5 6 8 9.5 5.5 22.5 15.5 16.5 13 16arrow_forward
- Suppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 14 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)? 128 189 139 148 186 141 163 101 195 142 174 114 196 191 a. z = -2.576 b. t = +1.796 c. t = + 1.771 d. z = + 1.796arrow_forwardAssume that a simple random sample has been selected and test the given claim. Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 μg/g. 3.5 6.0 6.0 6.5 20.5 7.0 11.5 20.5 11.5 18.5 Identify the value of the test statistic. Identify the P-value.arrow_forward3 Suppose the number of years that a computer lasts has density f(x) = 8x if x ≥ 2. a) What is the probability that the computer lasts between 3 and 5 years? (Round to three decimal places as needed). b) What is the probability that the computer lasts at least 4 years? (Round to three decimal places as needed). c) What is the probability that the computer lasts less than 1 year? d) What is the probability that the computer lasts exactly 2.48 years? e) What is the expected value of the number of years that the computer lasts?arrow_forward
- The weights of a sample of newborn calves are recorded in the table below: Male weight (kg) Female weight (kg) 36.8 37.2 12.6 39.1 38.2 41.7 31.9 46.8 37.5 43.0 45.7 42.2 31.3 A hypothesis test at a 5% level of significance is conducted to see whether the mean weight of male calves, is the same as the mean weight ir of female calves. a State the null and alternative hypotheses. b Assuming the weights of both male and female calves are normally distributed with the same standard deviation, calculate the p-value for this test. c State, with a reason, whether the null hypothesis should be uccepted.arrow_forwardAssume that a simple random sample has been selected and test the given claim. Listed below are the lead concentrations in mu g divided by μg/g measured in different traditional medicines. Use a 0.010 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g. 3.0 7.0 6.5 5.5 20.0 7.5 13.0 21.5 11.0 18.5arrow_forwardAssume that a simple random sample has been selected and test the given claim. Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g. 3.5 7.0 6.0 5.5 20.0 8.0 12.0 21.5 11.0 17.0 Identify the null and alternative hypotheses for this test. A. H0: μ=14 μg/g H1: μ<14 μg/g B. H0: μ<14 μg/g H1: μ=14 μg/g C. H0: μ=14 μg/g H1: μ>14 μg/g D. H0: μ=14 μg/g H1: μ≠14 μg/g Click to select your answer and then click Check Answer.arrow_forward
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