Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 6.3, Problem 100E
Green Sea Urchins. From the paper “Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis” (Aquaculture, Vol. 242, No. 1–4, pp. 357–363) by S. Siikavuopio et al., we found that weights of adult green sea urchins are
- a. Find the percentage of adult green sea urchins with weights between 50 g and 60 g.
- b. Obtain the percentage of adult green sea urchins with weights above 40 g.
- c. Determine and interpret the 90th percentile for the weights.
- d. Find and interpret the 6th decile for the weights.
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Green Sea Urchins. From the paper “Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis” (Aquaculture,Vol. 242, No. 1–4, pp. 357–363) by S. Siikavuopio et al., we found that weights of adult green sea urchins are normally distributed with mean 52.0 g and standard deviation 17.2 g. Let x denote weight of adult green sea urchins.
a. Sketch the distribution of the variable x.
b. Obtain the standardized version, z, of x.
c. Identify and sketch the distribution of z.
d. The percentage of adult green sea urchins with weights between 50 g and 60 g is equal to the area under the standard normal curve between _______ and _______.
e. The percentage of adult green sea urchins with weights above 40 g is equal to the area under the standard normal curve that lies to the _______of _______.
The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Can you conclude that the mean arsenic concentration in whitefish in Yellowknife Bay is greater than 0.3 mg/kg?
The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. a) In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Find a 95% confidence interval for the concentration in whitefish found in Yellowknife Bay. b) In a sample of 8 whitefish caught in Baker Pond, the mean arsenic concentration in the liver was 0.55 mg/kg, with a standard deviation of 0.36 mg/kg. Should the Student’s t distribution be used to find a 95% confidence interval for the concentration in whitefish found in Baker Pond? If so, find the confidence interval. If not, explain why not.
Chapter 6 Solutions
Introductory Statistics (10th Edition)
Ch. 6.1 - What is a density curve?Ch. 6.1 - State the two basic properties of every density...Ch. 6.1 - For a variable with a density curve, what is the...Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - In each of Exercises 6.46.11, assume that the...
Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - A curve has area 0.425 to the left of 4 and area...Ch. 6.1 - A curve has area 0.613 to the left of 65 and area...Ch. 6.1 - Prob. 14ECh. 6.1 - A variable is approximately normally distributed....Ch. 6.1 - Precisely what is meant by the statement that a...Ch. 6.1 - Two normally distributed variables have the same...Ch. 6.1 - Which normal distribution has a wider spread: the...Ch. 6.1 - Consider two normal distributions, one with mean 4...Ch. 6.1 - Prob. 20ECh. 6.1 - True or false: The mean of a normal distribution...Ch. 6.1 - Prob. 22ECh. 6.1 - Sketch the normal distribution with a. = 3 and =...Ch. 6.1 - Prob. 24ECh. 6.1 - For a normally distributed variable, what is the...Ch. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - The area under a particular normal curve between...Ch. 6.1 - A variable has the density curve whose equation is...Ch. 6.1 - A variable has the density curve whose equation is...Ch. 6.1 - Waiting for the Train. 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