Question
In: Statistics and Probability
A simple random sample of 10 pages from a dictionary is obtained. The numbers of words...
A simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n=10, x overbarx=66.1 words, s=16.3 words. Given that this dictionary has 1454 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 48.1 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 48.1 words. What does the result suggest about the claim that there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.
Solutions
orchestra answered 2 years agoRelated Solutions
A simple random sample of 10 pages from a dictionary is obtained. The numbers of words...
A simple random sample of 10 pages from a dictionary is
obtained. The numbers of words defined on those pages are found,
with the results n=10, x=57.8 words, s=16.4 words. Given that
this dictionary has 1463 pages with defined words, the claim that
there are more than 70,000 defined words is equivalent to the
claim that the mean number of words per page is greater than 47.8
words. Use a 0.01 significance level to test the claim that the
mean...
A simple random sample of 20 pages from a dictionary is obtained. The numbers of words...
A simple random sample of 20 pages from a dictionary is
obtained. The numbers of words defined on those pages are found,
with the results n=20, x=52.8 words, s=16.6 words. Given that this
dictionary has 1439 pages with defined words, the claim that there
are more than 70,000 defined words is equivalent to the claim that
the mean number of words per page is greater than 48.6 words. Use a
0.01 significance level to test the claim that the mean...
A simple random sample of 20 pages from a dictionary is obtained. The numbers of words...
A simple random sample of 20 pages from a dictionary is
obtained. The numbers of words defined on those pages are found,
with the results n=20, x overbar=52.8 words, s=15.4 words. Given
that this dictionary has 1442 pages with defined words, the claim
that there are more than 70,000 defined words is equivalent to the
claim that the mean number of words per page is greater than 48.5
words. Use a 0.05 significance level to test the claim that the...
A simple random sample of 20 pages from a dictionary is obtained. The numbers of words...
A simple random sample of 20 pages from a dictionary is
obtained. The numbers of words defined on those pages are found,
with the results nequals20, x overbarequals54.3 words,
sequals16.6 words. Given that this dictionary has 1477 pages with
defined words, the claim that there are more than 70,000 defined
words is equivalent to the claim that the mean number of words per
page is greater than 47.4 words. Use a 0.10 significance level to
test the claim that the...
The numbers of words defined on randomly selected pages from a dictionary are shown below. Find...
The numbers of words defined on randomly selected pages from a
dictionary are shown below. Find the range and standard deviation
for the set of numbers 58 62 35 50 49 61 46 78 67 33
The numbers of words defined on randomly selected pages from a dictionary are shown below. Find...
The numbers of words defined on randomly selected pages from a
dictionary are shown below. Find the mean, median, and mode of the
listed numbers. Or is there no mean, median or mode?
38 53 67 54 34 58 55 43 31 39
Assume that the sample is a simple random sample obtained from a normally distributed population of...
Assume that the sample is a simple random sample obtained from a
normally distributed population of IQ scores of statistics
professors. Use the table below to find the minimum sample size
needed to be 99% confident that the sample standard deviation s is
within 1% of sigma. Is this sample size practical?
sigma To be 95% confident that s is within 1% 5% 10% 20%
30% 40% 50%
of the value of sigma, the sample size n should be at...
Assume that each sample is a simple random sample obtained from a population with a normal...
Assume that each sample is a simple random sample obtained from
a population with a normal distribution.
a. n= 93 mean=3.90968 s=0.51774 Construct a 99% confidence
interval estimate of the standard deviation of the population from
which the sample was obtained.
b. n=93 mean=4.09355 s=0.59194 Repeat part (a).
How do you find values on a chi-square table when the degrees of
freedom are a value not commonly found on standard chi-square
tables? (In this case, 92)
A simple random sample of size nequals40 is obtained from a population with muequals66 and sigmaequals14....
A simple random sample of size nequals40 is obtained from a
population with muequals66 and sigmaequals14. (a) What must be
true regarding the distribution of the population in order to use
the normal model to compute probabilities involving the sample
mean? Assuming that this condition is true, describe the sampling
distribution of x overbar. (b) Assuming the normal model can be
used, determine P(x overbarless than69.6). (c) Assuming the
normal model can be used, determine P(x overbargreater than or
equals67.8).
A simple random sample of size nequals60 is obtained from a population with muequals69 and sigmaequals5....
A simple random sample of size nequals60 is obtained from a
population with muequals69 and sigmaequals5. Does the population
need to be normally distributed for the sampling distribution of x
overbar to be approximately normally distributed? Why? What is the
sampling distribution of x overbar? Does the population need to be
normally distributed for the sampling distribution of x overbar to
be approximately normally distributed? Why? A. No because the
Central Limit Theorem states that only if the shape of...
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