Did I calculate (a) through (e) correctly? I am having trouble with f and g. For g: I am 95% confident that in eight subjects who have a category fluency test score will score somewhere between 6 and 11??For G: In repeated sampling, this method produces intervals that capture the sample mean in about 95% of samples??Thank you 6.3.2 In a study of the effects of early Alzheimer's discase on nondeclarative memory, Reberet al. (A-2) used the Category Fluency Test to establish baseline persistence and semanticmemory and language abilities. The eight subjects in the sample had Category FluencyTest scores of 11, 10, 6, 3, 11, 10, 9, 11. Assume that the cight subjects constitute a sim-ple random sample from a normally distributcd population of similar subjects with earlyAlzheimer's disease.(a) What is the point estimate of the population mean?(b) What is the standard deviation of the sample?(c) What is the estimated standard error of the sample mean?(d) Construct a 95 percent confidence interval for the population mean category fluencytest score.(e) What is the precision of the cstimate?(f) State the probabilistic interpretation of the confidence interval you constructed.(g) State the practical interpretation of the confidcnce interval you constructed.10. # 6.3.2 (on page 157 of 11th edition). For this problem, do all parts a, through g.a)I1,10,6,311,10,9,1"=8,875 n =Y=8,875B) s?= =6898-1)Saz 8,410714286S =8,410714286S = 2.90012315を=%-2.9co12315E -c) Standand eor =%3D5/=0,362515 3938Small sampled) 957. C.I, n=8(tc) d.f.-8-1-7S= 2.90012315.9570kc=2.365d.f.=78.875¢ (2.365) (2.9001231959,C.16.45; l1.30)(6.45;11.30)e)margin error =tc Tn二The precisionof theestimate =2.422.918= 2.42

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Description: Did I calculate (a) through (e) correctly? I am having trouble with f and g. For g: I am 95% confident that in eight subjects who have a category fluency test score will score somewhere between 6 and 11??For G: In repeated sampling, this method prod

It is mentioned that the population follows normal distribution and population standard deviation is…

Answered: 6.3.2 In a study of the effects of…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Did I calculate (a) through (e) correctly? I am having trouble with f and g. For g: I am 95% confident that in eight subjects who have a category fluency test score will score somewhere between 6 and 11??

For G: In repeated sampling, this method produces intervals that capture the sample mean in about 95% of samples??

Thank you

6.3.2 In a study of the effects of early Alzheimer's discase on nondeclarative memory, Reber
et al. (A-2) used the Category Fluency Test to establish baseline persistence and semantic
memory and language abilities. The eight subjects in the sample had Category Fluency
Test scores of 11, 10, 6, 3, 11, 10, 9, 11. Assume that the cight subjects constitute a sim-
ple random sample from a normally distributcd population of similar subjects with early
Alzheimer's disease.
(a) What is the point estimate of the population mean?
(b) What is the standard deviation of the sample?
(c) What is the estimated standard error of the sample mean?
(d) Construct a 95 percent confidence interval for the population mean category fluency
test score.
(e) What is the precision of the cstimate?
(f) State the probabilistic interpretation of the confidence interval you constructed.
(g) State the practical interpretation of the confidcnce interval you constructed.
10. # 6.3.2 (on page 157 of 11th edition). For this problem, do all parts a, through g.
a)
I1,10,6,311,10,9,1"
=8,875 n =
Y=8,875
B) s?= =
689
8-1)
Saz 8,410714286
S =
8,410714286
S = 2.90012315
を=%-2.9co12315
E -
c) Standand eor =
%3D
5/=0,362515 3938
Small sample
d) 957. C.I, n=8(tc) d.f.-8-1-7
S= 2.90012315
.9570kc=2.365
d.f.=7
8.875¢ (2.365) (2.9001231
959,C.16.45; l1.30)
(6.45;11.30)
e)margin error =
tc Tn
二
The precision
of the
estimate =2.42
2.9
18
= 2.42

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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