The following data were collected for salinity of water from a sample of municipal sources (in parts per thousand) 0.5 0.5 0.6 0.6 0.8 0.8 0.8 0.9 1.0 1.1 1.3 (a) Find a 90% confidence interval for the average salinity in all mu- nicipal sources in the sampling area. (b) If we would like to have a CI with a margin of error ±0.3, what would be the required sample size for that?
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- The data in NutritionStudy include information on nutrition and health habits of a sample of 315 people. One of the variables is VitaminUse, indicating whether a person takes a multivitamin pill regularly or occasionally or not at all. Use technology to test whether the data provide evidence that the proportion taking a vitamin pill regularly is different from 35 % given. Clearly state the null and alternative hypotheses. : : 42 : Pi : P2 :: 0.35 : 2 :: P1 : p2 :: :: r Ho: vs Hg: ::Table 1: Summary statistics of the extra sodium content (%) in the thirty samples Min. : 0.14 1st Qu.: 1.17 Median : 2.13 Mean : 2.4813 3rd Qu.: 3.86 Max. : 5.22 SD = 1.6156 Researchers believe that the average percentage of sodium content is 3%. Test the appropriate hypotheses using a 5% level of significance. Specify the following: random variable of interest parameter of interest (Symbol for the parameter) statistic you would use to estimate parameterFourteen ion-selective electrodes were used to measure Ca2 in the same solution with the following results: [Ca2] 1.24, 1.13, 1.20, 1.20, 1.30, 1.12, 1.27, 1.19, 1.27, 1.22, 1.23, 1.23, 1.25, 1.24 mM. Find the 95% confidence interval for the mean. If the actual concentration is known to be 1.19 mM, are the results of the ion-selective electrode within experimental error of the known value at the 95% confidence level?
- The concentration of carbon monoxide (CO) in a gas sample is measured by a spectrophotometer and found to be 85 ppm. Through long experience with this instrument, it is believed that its measurements are unbiased and normally distributed, with an uncertainty (standard deviation) of 8 ppm. Find a 95% confidence interval for the concentration of CO in this sample.A laboratory's measurement process for chloride concentrations was assessed by randomly inserting 15 specimens having a known concentration 10.0 mg/ l into the normal flow work over a period of two weeks. The work was arranged so that the observed values would be random and independent . The mean and sample variance of these 15 readings is estimated to be 9.46 mg/l and 1.44 (mg/ L)2. The confidence intervals for the true mean isListed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm Left arm 143 179 OA. Ho: H0 H₁: Hd=0 OC. Ho: P = 0 H₁: Hd 0 sufficient evidence to support the claim of a difference in measurements between the two arms.
- In a test for acid rain, a random sample of 49 water samples showed a mean pH level of 4.4 with a standard deviation of 0.35. Find a 90% confidence interval estimate for the mean pH level. O a. O b. O C. O d. O e. 0.35 4.4 ± 1.677 (0,25) 49 4.4 +1.645 4.4 + 1.677 (0.35)(0.65) 500 4.41.645 (0.35) (0.65) 500 4.4 ± 1.645 (0:35) 49 0.35 49-1The sulphur dioxide concentration (in percent) of gases collected from the eruptions of two volcanoes was measured. At each volcano, thirty measurements were taken. The following is the data set. Question: Accept or reject the null hypothesis that there is no difference in sulphur dioxide content in the composition of gases in two eruptions at the 0.05 level of significance? Draw your normal curve for supportType I error: Washers used in a certain application are supposed to have a thickness of 2 millimeters. A quality control engineer measures the thicknesses for a sample of washers and tests H0: μ = 2 versus H1: μ ≠ 2. a. If a Type I error is made, what conclusion will be drawn regarding the mean washer thickness?
- I have asked this question twice and both times it has been wrong The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use ? = 0.01 and assume normality. n = 44, Σd = 224, Σd2 = 6268(a) Find t. (Give your answer correct to two decimal places.)Twelve samples of coal from a Northern Appalachian source had an average mercury content of 0.253 ppm with a standard deviation of 0.029 ppm. Suppose the density of mercury content of coal from this source is approximately normally distributed. a. Find the LOWER bound of a 95% confidence interval for the mean mercury content of coal from this source. b. Find the UPPER bound of a 95% confidence for the mean mercury content of coal from this source.b) A random variable of 7 independent observations of a normal variable gave Σ x = 35.9 Σχ2 = 186.19 Calculate i. ii. iii. The sample mean The sample variance A 90% confidence interval for the population mean