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 is
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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
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- A scientist wants to establish if the Mississippi’s river height has increased using data from 1970 and 2020. Historically, it’s known that the variance of the height within any given year is 4.5ft. The sample from 1970 has 80 measurements with ?1μ1 = 30ft and the sample from 2020 has 260 measurements with ?2μ2 = 31.5ft. Find a 95% confidence interval for the average increase of height.In comparing the hexokinase method with the glucose oxidase method for measuring glucose it was found that the mean and standard deviation for the hexokinase method was 120 mg/dl and 4.8 mg/dl respectively. The mean and standard deviation for the glucose oxidase method were 100 mg/dl and 4.0 mg/dl. Graphical analysis, however, seemed to indicate that there was not more variation present in the hexokinase method. Which evaluation method really exhibited the greatest variability? (A) Hexokinase method (C) Neither (B) Glucose oxidase method (D) Cannot be determinedAn automobile manufacturer has given its car a 46.246.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 240240 cars, they found a mean MPG of 46.446.4. Assume the population variance is known to be 2.562.56. A level of significance of 0.050.05 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
- Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 180 and 15, respectively. From process 2, the sample size was 4 with a mean and standard deviation of 360 and 50, respectively. X Your answer is incorrect. Find a 95% confidence interval on the difference in the towels' mean absorbency produced by the two processes. Assume the standard deviations are estimated from the data. Round your answers to two decimal places (e.g. 98.76).Fourteen 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?An automobile manufacturer has given its van a 50.6 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 220 vans, they found a mean MPG of 50.5. Assume the population variance is known to be 1.69. A level of significance of 0.01 will be used. Find the P-value of the test statistic. you may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.There are many different properties of wood, for example, thermal conductivity, vapor permeance and air permeability. The dry density of wood is often used as a measure of shear strength. A study was conducted to compare the strengths of oriented strand board (OSB) and plywood. Independent random samples of each type of wood were obtained and the dry density of wood (in kg/m3) was measured. (i) Assuming that the population standard deviations of the two groups are the same, test, at the 2% level of significance, whether the dry density of OSB is different to that of plywood. A. Use graphs (see photos) to produce the information to perform the hypothesis test in part (i). B. Is the normality requirement satisfied for the test in part (i)? Explain C. For the test in part (i), how many degrees of freedom does the distribution of the test statistic have? D. What is the value of the observed test statistic associated with the test in part (i)? E. What is the p-value associated with the…A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo.In a random sample of 49 floors of WaxWin and 35 of WaxCo. WaxWin had a mean lifetime of 25.3 and WaxCo had a mean lifetime of 27.3.The population standard deviation for WaxWin is assumed to be 7.8 and the population standard deviation for WaxCo is assumed to be 10.2.Perform a hypothesis test using a significance level of 0.05 to help him decide.Let WaxWin be sample 1 and WaxCo be sample 2.An ACME Bearings manager wants to compare the average ball bearing sizes from two different machines. She suspects the mean diameter for bearings from machine 2 exceeds that of bearings from machine 1. She takes two independent, random samples of size 50, one from each machine. The mean and standard deviation of bearings taken from machine 1 are 3.302 mm and 0.051 mm. The mean and standard deviation of bearings taken from machine 2 are 3.355 mm and 0.050 mm. Run a hypothesis test consistent with her suspicions. Be sure to check all necessary assumptions; state the null and alternative hypotheses; decide whether or not to pool and explain why; calculate the test statistic and p-value; state your conclusion in a complete sentence based on the p-value.An ACME Bearings manager wants to compare the average ball bearing sizes from two different machines. She suspects the mean diameter for bearings from machine 2 exceeds that of bearings from machine 1. She takes two independent, random samples of size 50, one from each machine. The mean and standard deviation of bearings taken from machine 1 are 3.302 mm and 0.051 mm. The mean and standard deviation of bearings taken from machine 2 are 3.355 mm and 0.050 mm. Run a hypothesis test consistent with her suspicions, make a 98% t-interval for the difference between the true means. In doing so, be sure to a. check all necessary assumptions for making the t-interval; b. calculate the interval endpoints; c. interpret the interval in a complete sentence.A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 60 floors of WaxWin and 33 of WaxCo. WaxWin had a mean lifetime of 20.5 and WaxCo had a mean lifetime of 20.6. The population standard deviation for WaxWin is assumed to be 10.3 and the population standard deviation for WaxCo is assumed to be 8.4. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2. The correct hypotheses are: Ο Ηο: μι < με HA: M1 M₂(claim) Ο Ηο: με 2 με HA1₂(claim) O Ho: ₁ = 2 HA: M12(claim) Since the level of significance is 0.10 the critical value is -1.282 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)Researchers measured the occurrence of reptiles using pitfall trapping across mallee Eucalyptus habitats that had been either recently burnt or unburnt. They were interested in comparing the abundance Southern knob-tail geckos (Nephrurus stellatus) between these two habitats and so calculated the relative abundance of this species found at each trap. Based on the output below, what would be the most correct conclusion to draw about these data? Mean n Std deviation Std error of mean burnt sites 8.08 30 6.12 0.94 unburnt sites 2.73 30 3.33 0.51 Variance ratio test = 3.37 : 1 options: The data are skewed and a log transformation (after adding 10 too all values to remove negative and zero values) should be attempted before performing a parametric test The data are skewed, however a transformation would not be appropriate for these data The data are symmetrical, a parametric test…SEE MORE QUESTIONS
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