A researcher is interested in species diversity of two different wetland areas. She claims that wetland 1 has higherspecies diversity than wetland 2. Assume the population standard deviations are known and the test statistic iscalculated to be Z = 2.98. Find the p-value for testing the researcher's claim.0.02820.50000.9986O 0.00140.0028 A sample of the thickness (in hundreths of an inch) of 15 pieces of Fruit Flavored Bubble Gum yielded asample mean of 6.841 and a standard deviation of 0.155. A second independent sample of thethickness of 10 pieces of Fruit Flavored Gum yielded a sample mean of 6.701 and standard deviation of0.108. A researcher claims that Fruit Flavored Bubble Gum should be thicker on average than FruitFlavored Gum because bubble gum has more elasticity than regular gum. Assume both distributions arenormally distributed.Which test statistic is appropriate for testing the researcher's claim?O t':O=t =O ťt' =O t =O2 =(1-T₂)-do/s/n₁+82/12C-140S√n(T1-T2)-do/o/n₁+02/n2(1-2)-do8p√√/1/n₁+1/n₂x-Hoo/√n

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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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A recent study showed that the residents of a local town reported sleeping an average of u =7.97 hours each night with a standard deviation of o =0.424. A random sample of 10 residents had a sample mean of X = 7.766. Find the z-value of this sample mean. Write your answer to two decimal places.
Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14. Research shows exactly 95% of healthy females have hemoglobin levels below 15.9. What is the standard deviation of the distribution of hemoglobin levels in healthy females?carry computations to four decimal places and round your answer to two.
A study conducted by Hershey's discovered that Americans consumed an average of 11.4 pounds of chocolate per year. Let's assume that the annual chocolate consumption follows the Normal distribution with mean 11.4 pounds and a standard deviation of 3.6 pounds. Answer the following questions, performing all computations with Excel functions.
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A sample of size 50 will be drawn from a population with mean 76 and standard deviation 14. Find the 69th percentile of x.
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The life of a butterfly is normally distributed with a mean of 50 days. You took a random sample of 25 such butterflies. The mean life for this sample is 47 days a standard deviation of 3 days. At α = 0.05. a. Test to see if the average life of a butterfly is different from 50 days. b. Your friend believes that the life of a butterfly is less than 50 days. Is she correct?
Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
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