Unfortunately, arsenic occurs naturally in some ground water. † A mean arsenic level of μ = 8.0 parts per billion (ppb) isconsidered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic.A random sample of 31 tests gave a sample mean of x = 6.9 ppb arsenic, with s = 2.4 ppb. Does this information indicate thatthe mean level of arsenic in this well is less than 8 ppb? Use α = 0.01.USE SALT(a) What is the level of significance?State the null and alternate hypotheses.Ho: μ = 8 ppb; H₁₂: μ > 8 ppbHo: μ = 8 ppb; H₁: μ< 8 ppbOH: μ> 8 ppb; H₁: μ = 8 ppbHo: μ< 8 ppb; H₁: μ = 8 ppbHo: μ = 8 ppb; H₁: μ ‡ 8 ppb(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.The Student's t, since the sample size is large and o is known.The standard normal, since the sample size is large and o is known.The Student's t, since the sample size is large and σ is unknown.The standard normal, since the sample size is large and o is unknown.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Estimate the P-value.P-value > 0.1000.050 P-value < 0.1000.010 < P-value < 0.0500.005 P-value < 0.010P-value < 0.005Sketch the sampling distribution and show the area corresponding to the P-value.-2-2002244-4-2-2002244(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.O At the α = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.At the x = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the x = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.There is sufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than 8 ppb.O There is insufficient evidence at the 0.01 level to conclude that the mean level of arsenic in the well is less than8 ppb.

Given that Mean arsenic level () = 8.0Random sample size (n) = 31Sample mean () = 6.9Sample standard…

Answered: Unfortunately, arsenic occurs naturally…

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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For healthy adults, the mean pH of arterial plasma (i.e., acidity of the blood) is 7.4. A new drug for arthritis has been developed. Researchers want to conduct a test to see if the new drug has increased the mean pH level of the blood. A random sample of 91 patients with arthritis took the new drug for 3 months. An analysis of the sample data revealed a p-value of 0.019. Step 3 of 3: Use a 1% level of significance to test the claim that the drug has increased the mean pH level of the blood.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1482 and the standard deviation was 315. The test scores of four students selected at random are 1910, 1200, 2210, and 1390. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
The least-squares regression equation is y=761.7x+13,208 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7483. Predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree.
The data in Table 7..7 are collected in an experiment designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are each assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28 weeks, and 32 weeks, gestation. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. PLEASE SHOW THE ANSWER IN EXCEL FORMAT WITH FORMULAS.
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
When sampling from a population with mean μ and standard deviation σ, the sampling distribution of the mean will also have a mean μ and standard deviation σ.
A sample of size 50 will be drawn from a population with mean 73 and standard deviation 8. Find the 19th percentile of the sample mean.
A population of N=5 scores has a mean of μ=8. After one score is removed, the mean is found to be μ=7. What is the value of the score that was removed?
A sample of n=11 scores has a mean of M=9. If one new person with a score of X=4 is added to the sample, what will be the value of the new mean?
A sample of n = 15 scores has a mean of M = 6. One person with a score of X = 22 is added to the sample. What is the value for the new sample mean?
A population of scores has u = 50 and o = 5. If every score in the population is multiplied by 3, then what are the %3D new values for the mean and standard deviation?
A sample of n = 5 scores has a mean of M = 12. If one person with a score of X = 8 is added to the sample, what is the value for the new mean?

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