Question

The average number of pages for a simple random sample of 40 physics textbooks is 435. The average number of pages for a simple random sample of 40 mathematics textbooks is 410. Assume that all page length for each types of textbooks is normally distributed. The standard deviation of page length for all physics textbooks is known to be 55, and the standard deviation of page length for all mathematics textbooks is known to be 55.

Part One:

Assuming that on average, mathematics textbooks and physics
textbooks have the same number of pages, what is the probability of
picking samples of these sizes and getting a sample mean so much
higher for the physics textbooks (one-sided p-value, to four
places)? (_)

The above p-value comes from a test-statistic of z= (_) Enter number without sign

Part Two:

Assuming that on average, mathematics textbooks and physics
textbooks have the same number of pages, what is the probability of
picking samples of these sizes and getting sample means as far
apart as we did (two-sided p-value, to four decimal places):
(_)

Answer #1

A simple random sample of pages of my dictionary was collected.
These are the number of words defined on each page. Find the
measures of central tendency: mean, median, and mode. 51 63 63 43
43 43 69 43 39 53 63 There are 1749 pages. Estimate the total
number of words in the dictionary. Is the estimate likely to be an
accurate estimate of the total number of words in the English
language?

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=53.75 words, s=15.21 words. Given that
this dictionary has 1484 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 47.24
words. Use a 0.100 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 defined on those pages are found,
with the results n = 20 , x overbar = 53.8 words, s = 15.2 words.
Given that this dictionary has 1452 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
48.2 words. Use a 0.101significance level...

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=65.7 words, s=15.4 words. Given that this
dictionary has 1430 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 49.0 words. Use a
0.10 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 defined on those pages are found,
with the results nequals20, x overbarequals59.2 words,
sequals15.1 words. Given that this dictionary has 1437 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 48.7 words. Use a 0.05 significance level to
test the claim that the...

On the island of Lilliput, a sample random sample of 500 people
reveals that 450 of them prefer to open their egg on the small end.
On the island of Blefuscu, a sample random sample of 1000 people
reveals that 875 of them prefer to open their egg on the small
end.
Part One:
What is the sample proportion of Lilliputians who prefer to open
their egg on the small end (exact)?
What is the sample proportion of Blefuscuans who...

____
Simple Random Sample
____
Cluster sample
____
Systematic sample
____
Stratified sample
1.
While this type of sampling is very eacy to carry out, and hence
saves time and money, it can very easily yield samples which are
non-representative of the population, unintentionally. Often, data
comes "in cycles", where the beginning and the end of each cycle is
"atypical". If the "kth" individual is picked at the beginning or
at the end of a cycle more often than a...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, critical
value(s), and state the final conclusion that addresses the
original claim. A simple random sample of pages from a dictionary
is obtained. Listed below are the numbers of words defined on those
pages. Given that this dictionary has 1459 pages with defined
words, the claim that there are more than 70,000 defined...

A random sample of n = 500 books is selected from a library and
the number of words in the title of each book is recorded. The
sample mean number of words in the title is 6.2 words. The
population variance is 40 words^2 .
Please show how to do each one using R and Rstudio.
a) (2 points) Compute the z-statistic for testing the null
hypothesis H0 : µ = 7.
b) (3 points) Perform a level ? =...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative? hypotheses, test? statistic, critical?
value(s), and state the final conclusion that addresses the
original claim. A simple random sample of pages from a dictionary
is obtained. Listed below are the numbers of words defined on those
pages. Given that this dictionary has 1459 pages with defined?
words, the claim that there are more than? 70,000 defined...

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