No need for explanation Problem 5Barzman Inc., which produces water, wants to analyze the mineral contents (gm) in the bottle of1 liter water they produce. Especially, they are interested in identifying the magnesium contents,which is one of the most important minerals in the water. The quality control engineer at theirproduction unit randomly selected 7 bottles and then measured the mineral contents in thesamples. The results from the sample show that the average mineral contents in the water is12.38 gm. Assuming that the mineral content in the water bottle is normally distributed andpopulation standard deviation is equal to 0.51 gm:a. Identify the bounds at 96% confidence interval (CI)?b. Suppose that the company wants the error in estimating the magnesium content is less than0.30, what sample size should the company use in part (a) for the analysis?c. If only one sided confidence bound is desired by the company at the lower tail, then whatwill be the lower bound for the date in (a). Discuss the difference in the lower bound ascompared to (a) and give reason for the difference using simple figure(s).

It was stated that Barzman Inc., which produces water, wants to analyze the mineral contents (gm) in…

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Math

Probability

No need for explanation

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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2. A new device was designed to measure the glycemic index in blood for diagnostic purposes of patients with diabetes. The first rounds of testing were performed on healthy volunteer subjects. Device 2 was compared with the measurements from the reference instrument (Device 1), the data obtained is synthesized in the table below. Perform the appropriate analysis for validate the measurements delivered by the new device. Dispositivo 1 Dispositivo 2 [mg/dl] [mg/d] Sujeto 1 Sujeto 2 Sujeto 3 101 102 91 100 102 109 Sujeto 4 67 86 Sujeto 5 Sujeto 6 Sujeto 7 Sujeto 8 Sujeto 9 Sujeto 10 Sujeto 11 Sujeto 12 Sujeto 13 87 95 99 102 91 100 85 93 110 113 91 100 87 96 91 99 102 120 Sujeto 14 Sujeto 15 Sujeto 16 Sujeto 17 Sujeto 18 Sujeto 19 Sujeto 20 Sujeto 21 Sujeto 22 91 99 86 90 88 99 100 116 89 100 94 98 79 94 92 112 100 116
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A study was carried out to determine the influence of a trace elementfound in soil on the yield of potato plants grown in that soil, defined asthe weight of potatoes produced at the end of the season. A large fieldwas divided up into 14 smaller sections for this experiment. For eachsection, the experimenter recorded the amount of the trace elementfound (in milligrams per metre squared) and the corresponding weightof the potatoes produced (in kilograms). This information is presentedin the worksheet ‘Dataset5’ in the Excel document. Define X as thetrace element amount and Y as the yield.1. Draw a scatterplot of your data set.Page 52. Calculate the coefficients of a linear equation to predict the yieldY as a function of X.3. Calculate the correlation coefficient for the paired data values.4. Set up the framework for an appropriate statistical test to establish if there is a correlation between the amount of the trace element and the yield. Explain how having the scatterplot referredto…
A professor of mathematics teaches at a catholic school and at a public school. He wants to know whether attending a catholic school leads to higher grades. He collected data from 7,430 students from both school's types. Considering this information, please answer the following questions: a) How can you interpret the OLS outcome on whether the child attended a catholic school (cathhs) is important to explain students' grade? Source Model Residual Total cathhs lfaminc SS 143098.058 521610.985 motheduc fatheduc 664709.043 df math12 Coefficient Std. err. 17887.2573 8 7,421 70.2885036 7,429 89.4749015 1.623158 .4106669 1.447696 .1431147 .0613988 .7345401 .832485 . 055494 black -5.226717 hispan -1.221689 asian 3.28341 female _cons MS .3915981 .3328612 .4438741 -1.066021 .1950649 16.72931 1.355485 Number of obs F(8, 7421) Prob > F R-squared Adj R-squared Root MSE t P>|t| 3.95 0.000 0.000 10.12 11.96 0.000 15.00 0.000 -13.35 0.000 -3.67 0.000 7.40 0.000 -5.46 0.000 12.34 0.000 = .8181343…
As per image An experiment analyzes imperfection rates for two processes used to fabricate silicon wafers for computer chips......
Q1 (а) і. 10,000 vehicle speed traffic data were collected during the weekday on route FT050 at Batu Pahat, Johor. Suggest how to quantify and describe the basic characteristic of this data. Then explain how the method you suggested can help others to understand the data.
12. State the null hypothesis and the alternative hypothesis for this situation: "The homogeneity of the chloride level in a water sample from a lake was tested by analyzing portions drawn from the top and from near the bottom of the lake. Determine if the chloride level from the top of the lake is different from that at the bottom."
The National Institute of Standards and Technology (NIST) offers a wide variety of “standard reference materials” (SRMs) with accurately specified analyte concentrations. SRM 1951c is intended in part for “evaluating the accuracy of clinical procedures for the determination of total cholesterol . . . in human serum.” The certified total cholesterol is 6.244 ± 0.072 mmol/L. For the sake of this question, let’s treat 6.244 mmol/L as its “true” value (μ). We will use this standard to test a method with an intrinsic variability (for an experienced analyst) of σ = 0.131 mmol/L. 1. For what value of z does exactly 95% of the area under a Gaussian curve lie between ± z? Use this multiplier to find the range of measured cholesterol concentrations that would include 95% of the trials from the “parent population” (μ and σ) given above. 2. Calculate z for a trial in which the measured total cholesterol concentration is 6.302 mmol/L. 3. What is the probability that a trial will give a cholesterol…
The National Institute of Standards and Technology (NIST) offers a wide variety of “standard reference materials” (SRMs) with accurately specified analyte concentrations. SRM 1951c is intended in part for “evaluating the accuracy of clinical procedures for the determination of total cholesterol . . . in human serum.” The certified total cholesterol is 6.244 ± 0.072 mmol/L. For the sake of this question, let’s treat 6.244 mmol/L as its “true” value (μ). We will use this standard to test a method with an intrinsic variability (for an experienced analyst) of σ = 0.131 mmol/L. **Please show written work! It is difficult to understand "text" work/answers with mathematical/statistical problems** 1. For what value of z does exactly 95% of the area under a Gaussian curve lie between ± z? Use this multiplier to find the range of measured cholesterol concentrations that would include 95% of the trials from the “parent population” (μ and σ) given above. 2. Calculate z for a trial in which the…
The National Institute of Standards and Technology (NIST) offers a wide variety of “standard reference materials” (SRMs) with accurately specified analyte concentrations. SRM 1951c is intended in part for “evaluating the accuracy of clinical procedures for the determination of total cholesterol . . . in human serum.” The certified total cholesterol is 6.244 ± 0.072 mmol/L. For the sake of this question, let’s treat 6.244 mmol/L as its “true” value (μ). We will use this standard to test a method with an intrinsic variability (for an experienced analyst) of σ = 0.131 mmol/L. In three trials, you obtained the following cholesterol concentrations (all in mmol/L): 6.476, 6.590, 6.338. 1. Showing all work, calculate a 95% confidence interval for your measured cholesterol concentration and write it as an intermediate result (with guard digits). Does your measurement differ from μ at 95% confidence? 2. Repeat part 1 for 90% confidence and explain any change in your conclusion. 3. Another…
12) Find the mean and median of each of the following sets of data. Determine the deviation from the mean for each data point within the sets and find the mean deviation for each set. Use a spreadsheet if it is convenient. *(a) 0.0110 0.0104 0 010s 18 AM-780586K-31.215. (b) 24.53 *(c) 188 (d) 4.52 × 10-3 4.63 × 10¯3 4.53 × 10-3 *(e) 39.83 (f) 850 24.68 24.77 24.81 24.73 190 194 187 4.47 × 10¬3 4.48 × 10¬3 4.58 × 10-3 39.61 39.25 39.68 862 849 869 865