UNDERSTANDABLE STAT. >PRINT UPGRADE<
12th Edition
ISBN: 9780357724880
Author: BRASE
Publisher: CENGAGE L
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Chapter 6.5, Problem 6P
Basic Computation: Central Limit Theorem Suppose x has a distribution with a
- (a) Describe the
- (b) Find the z value corresponding to
- (c) Find
- (d) Interpretation Would it be unusual for a random
sample of size 36 from the x distribution to have a sample mean less than 19? Explain.
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 6 Solutions
UNDERSTANDABLE STAT. >PRINT UPGRADE<
Ch. 6.1 - Statistical Literacy Which, if any, of the curves...Ch. 6.1 - Statistical Literacy Look at the normal curve in...Ch. 6.1 - Prob. 3PCh. 6.1 - Critical Thinking Sketch a normal curve (a) with...Ch. 6.1 - Basic Computation: Empirical Rule What percentage...Ch. 6.1 - Basic Computation: Empirical Rule What percentage...Ch. 6.1 - Distribution: Heights of Coeds Assuming that the...Ch. 6.1 - Distribution: Rhode Island Red Chicks The...Ch. 6.1 - Archaeology: Tree Rings At Burnt Mesa Pueblo,...Ch. 6.1 - Vending Machine: Soft Drinks A vending machine...
Ch. 6.1 - Pain Management: Laser Therapy Effect of...Ch. 6.1 - Control Charts: Yellowstone National Park...Ch. 6.1 - Control Charts: Bank Loans Tri-County Bank is a...Ch. 6.1 - Control Charts: Motel Rooms The manager of Motel...Ch. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Uniform Distribution: Measurement Errors...Ch. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Prob. 20PCh. 6.2 - Statistical Literacy What does a standard score...Ch. 6.2 - Statistical Literacy Does a raw score less than...Ch. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Basic Computation: z Score and Raw Score A normal...Ch. 6.2 - Basic Computation: z Score and Raw Score A normal...Ch. 6.2 - Prob. 7PCh. 6.2 - Prob. 8PCh. 6.2 - z Scores: First Aid Course The college physical...Ch. 6.2 - Prob. 10PCh. 6.2 - Prob. 11PCh. 6.2 - Normal Curve: Tree Rings Tree-ring dates were used...Ch. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 14PCh. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 21PCh. 6.2 - Prob. 22PCh. 6.2 - Prob. 23PCh. 6.2 - Prob. 24PCh. 6.2 - Prob. 25PCh. 6.2 - Prob. 26PCh. 6.2 - Prob. 27PCh. 6.2 - Prob. 28PCh. 6.2 - Prob. 29PCh. 6.2 - Basic Computation: Finding Areas Under the...Ch. 6.2 - Prob. 31PCh. 6.2 - Prob. 32PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - Prob. 36PCh. 6.2 - Prob. 37PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 39PCh. 6.2 - Prob. 40PCh. 6.2 - Prob. 41PCh. 6.2 - Prob. 42PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 44PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Basic Computation: Finding Probabilities In...Ch. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.3 - Statistical Literacy Consider a normal...Ch. 6.3 - Statistical Literacy Suppose 5% of the area under...Ch. 6.3 - Prob. 3PCh. 6.3 - Critical Thinking: Normality Consider the...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find Probabilities In Problems...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Prob. 20PCh. 6.3 - Prob. 21PCh. 6.3 - Basic Computation: Find z Values In Problems 1524,...Ch. 6.3 - Prob. 23PCh. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.3 - Prob. 26PCh. 6.3 - Archaeology: Hopi Village Thickness measurements...Ch. 6.3 - Law Enforcement: Police Response Time Police...Ch. 6.3 - Prob. 29PCh. 6.3 - Guarantee: Watches Accrotime is a manufacturer of...Ch. 6.3 - Expand Your Knowledge: Estimating the Standard...Ch. 6.3 - Estimating the Standard Deviation: Refrigerator...Ch. 6.3 - Prob. 33PCh. 6.3 - Prob. 34PCh. 6.3 - Insurance: Satellites A relay microchip in a...Ch. 6.3 - Convertion Center: Exhibition Show Attendance...Ch. 6.3 - Exhibition Shows: Inverse Normal Distribution Most...Ch. 6.3 - Budget: Maintenance The amount of money spent...Ch. 6.3 - Prob. 39PCh. 6.3 - Prob. 40PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.5 - Statistical Literacy What is the standard error of...Ch. 6.5 - Prob. 2PCh. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 6.5 - Basic Computation: Central Limit Theorem Suppose x...Ch. 6.5 - Prob. 7PCh. 6.5 - Prob. 8PCh. 6.5 - Prob. 9PCh. 6.5 - Prob. 10PCh. 6.5 - Prob. 11PCh. 6.5 - Critical Thinking Suppose an x distribution has...Ch. 6.5 - Prob. 13PCh. 6.5 - Vital Statistics: Heights of Men The heights of...Ch. 6.5 - Prob. 15PCh. 6.5 - Medical: White Blood Cells Let x be a random...Ch. 6.5 - Wildlife: Deer Let x be a random variable that...Ch. 6.5 - Focus Problem: Impulse Buying Let x represent the...Ch. 6.5 - Finance: Templeton Funds Templeton World is a...Ch. 6.5 - Finance: European Growth Fund A European growth...Ch. 6.5 - Expand Your Knowledge: Totals Instead of Averages...Ch. 6.5 - Prob. 22PCh. 6.5 - Prob. 23PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.6 - Basic Computation: Normal Approximation to a...Ch. 6.6 - Basic Computation: Normal Approximation to a...Ch. 6.6 - Critical Thinking You need to compute the...Ch. 6.6 - Critical Thinking Consider a binomial experiment...Ch. 6.6 - In the following problems, check that it is...Ch. 6.6 - In the following problems, check that it is...Ch. 6.6 - Prob. 9PCh. 6.6 - Prob. 10PCh. 6.6 - Prob. 11PCh. 6.6 - Prob. 12PCh. 6.6 - Prob. 13PCh. 6.6 - In the following problems, check that it is...Ch. 6.6 - Prob. 15PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Basic Computation: p Distribution Suppose we have...Ch. 6.6 - Prob. 21PCh. 6 - Prob. 1CRPCh. 6 - Prob. 2CRPCh. 6 - Statistical Literacy Is a process in control if...Ch. 6 - Prob. 4CRPCh. 6 - Prob. 5CRPCh. 6 - Prob. 6CRPCh. 6 - Prob. 7CRPCh. 6 - Prob. 8CRPCh. 6 - Prob. 9CRPCh. 6 - Prob. 10CRPCh. 6 - Prob. 11CRPCh. 6 - Basic Computation: Probability Given that x is a...Ch. 6 - Prob. 13CRPCh. 6 - Prob. 14CRPCh. 6 - Prob. 15CRPCh. 6 - Prob. 16CRPCh. 6 - Prob. 17CRPCh. 6 - Prob. 18CRPCh. 6 - Prob. 19CRPCh. 6 - Prob. 20CRPCh. 6 - Prob. 21CRPCh. 6 - Prob. 22CRPCh. 6 - Prob. 23CRPCh. 6 - Prob. 24CRPCh. 6 - Prob. 25CRPCh. 6 - Prob. 26CRPCh. 6 - Break into small groups and discuss the following...Ch. 6 - Prob. 1LCCh. 6 - Prob. 2LCCh. 6 - Prob. 3LCCh. 6 - Prob. 4LCCh. 6 - Discuss each of the following topics in class or...Ch. 6 - Prob. 1UTCh. 6 - Prob. 1CURPCh. 6 - Prob. 2CURPCh. 6 - Prob. 3CURPCh. 6 - Prob. 4CURPCh. 6 - Prob. 5CURPCh. 6 - Prob. 6CURPCh. 6 - Prob. 7CURPCh. 6 - Prob. 8CURPCh. 6 - Prob. 9CURPCh. 6 - Prob. 10CURPCh. 6 - Prob. 11CURPCh. 6 - Prob. 12CURPCh. 6 - Prob. 13CURPCh. 6 - Prob. 14CURPCh. 6 - Prob. 15CURP
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