**Lead Concentration Testing in Traditional Medicines**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 13 µg/g. Assume that the sample is a simple random sample.**Data:**- 3, 16.5, 3, 19.5, 5, 6, 22.5, 19.5, 2.5, 9.5**Hypothesis Testing:**Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?- **A.** \( H_0: \mu = 13 \, \text{µg/g} \) \( H_1: \mu < 13 \, \text{µg/g} \) ✅- **B.** \( H_0: \mu = 13 \, \text{µg/g} \) \( H_1: \mu \neq 13 \, \text{µg/g} \) - **C.** \( H_0: \mu > 13 \, \text{µg/g} \) \( H_1: \mu < 13 \, \text{µg/g} \) - **D.** \( H_0: \mu = 13 \, \text{µg/g} \) \( H_1: \mu > 13 \, \text{µg/g} \) ❌**Determine the Test Statistic:**(Round to two decimal places as needed.)---Note: The correct hypothesis setup indicates a one-tailed test where the claim is that the mean concentration is less than 13 µg/g (Option A).

the null and alternative hypothesis ;- Claim to be tested is mean is less than 13 or μ <13…

Answered: Listed below are the lead…

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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3. Suppose that the inside diameter of bulb lamp manufactured by a company are normally distributed with a sample of 200 bulb lamps, µ = 0.502 inches, and o = 0.005 inches. A bulb lamp will be considered defective if its diameter is less than 0.496 inches or greater than 0.508 inches. What is the percentage of defective bulb lamp produced by the company? What did the answer indicate?
Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site. Pond 1: 37.03, 37.45, 36.75, 37.54, 37.71, 37.02, 37.32 Pond 2: 38.89, 39.05, 38.51, 38.53, 38.71 Use a 2% significance level to test the claim that the two ponds have the same mean salinity value. Assume that nothing is known about the population distribution of salinities. (a) Enter the rank values in the same order as in the original sample. The rank values for Pond 1 are: The rank values for Pond 2 are: (b) The test statistic is: . (c) The test critical value is: . (d) The conclusion isA. There is not sufficient evidence to indicate that the two ponds have different distributions of salinity values.B. There is sufficient evidence to indicate that the two ponds have different distributions of salinity values.
You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient…
You wish to test the following claim (Ha) at a significance level of a = 0.01. H₂:μ₁ = μ₂ Ha:μι > με You obtain the following two samples of data. Sample #1 Sample #2 60 50.1 91.5 89.8 56 44.8 85.6 93.4 58.4 83.8 106.9 73.9 44.8 78.1 70.8 37.7 63.5 82.7 71.7 34.7 90.6 67.7 66.8 61.6 65 65.9 77.6 61.1 111.7 106.9 51.8 88.3 69 80.5 78.1 62.6 99.7 64.5 67.2 52.6 71.2 75.3 76.2 96.8 70.8 49.2 46.1 111.7 51.8 The p-value is... mlm What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 66.2 63.3 60 63.1 61.3 75 62.3 63.3 69.4 57.9 71.2 68.4 74.7 70.6 65.1 68.5 75.8 78.4 73.1 58.6 59.1 66 71.5 67.2 67.3 69 70.9 68.9 73.1 64.4 66.9 71.2 65.6 68.7 60.7 65.3 76.3 74.7 70.1 65.6 59.6 68.2 67.2 69.7 68.9 65.4 66.2 65.6 65.1 62.5 0.7 60.4 68.9 76.8 65.6 76.3 64.7 55.6 71.7 69.7 64.2 72.9 What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to…
a study of store checkout scanners, 1234 items were checked and 23 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. mu = The proportion of all sales that are undercharges B. p = The proportion of all sales that are incorrect C. p = The proportion of all sales that are overcharges D. mu = The mean number of sales that are overcharges b. State the null and alternative hypotheses A. Upper H 0 : mu not equals 0.01 Upper H 1 : mu equals 0.01 B. Upper H 0 : p greater than 0.01 Upper H 1 : p equals 0.01 C. Upper H 0 : p equals 0.01 Upper H 1 : p not equals 0.01 D. Upper H 0 : p equals 23 Upper H 1 : p less than 23 c. Calculate the sample proportion ModifyingAbove p…
Use the following sample to evaluate H0: μ = 65, at significance level α = 0.05. 53 75 68 53 57 12 4 10 45 94 23 73 9 41 79 92 90 46 49 71 State the correct test and your conclusion. T-test. Reject Ho. T-test. Fail to reject Ho. Z-test. Fail to reject Ho. Z-test. Reject Ho.
You wish to test the following claim (Ha) at a significance level of =0.01. Ho:μ1=μ2 Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 102.7 70.5 101.6 113.4 79 96 76.5 89.9 79.8 101.6 109.9 71.6 77.6 83.5 75.4 87 106.7 82.1 94.7 88.1 91.1 91.6 91.4 99 96.4 70.5 92.5 111.4 103.2 93.4 80.2 107.6 113.4 101.6 71.6 106.7 88.4 82.5 84.8 94.4 76.5 70.5 100.2 91.9 100.7 67.8 89.6 97.8 89 90.5 67.8 106.7 74 78.1 93.1 91.9 85.8 105.2 81.4 91.4 80.6 87.9 106.9 109.4 102.4 60.4 104.9 89.5 72.4 84.9 84.5 97.4 77.1 72.9 92.7 100.3 94 81.1 79.2 104 84.2 83 86 89.5 64.9 93.6 84.9 87.1 105.8 90.2 66.6 94.9 89.5 74.9 92.3 88.3 83.8 64 68.1 91.9 80.7 83.8 85.6 99.1 93.1 89.1 90.2 94 64.9 71.8 105.8 96.9 84.2 75.3 86 56.9 112.9 84.5 96.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this…
Given a population proportion p = .85. A sample size with x = 88 and n = 100. Test if the population proportion p>.85 at a = 0.01 level of significance. 4.

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