#12 the correctness of your methods as well as on the accuracy and collT11.11 Agovernment report says that the average amountof money spent per U.S. household per week onfood is about $158. A random sample of 50 house-holds in a small city is selected, and their weeklyspending on food is recorded. The sample datahave a mean of $165 and a standard deviation of$32. Is there convincing evidence that the meanweekly spending on food in this city differs from thenational figure of $1587paragraph to read. One group is told that theauthor of the paragraph is someone whose nativelanguage is not English. The other group is toldnothing about the author. The subjects are askedto count the umber of spelling and grammarmistakes in the paragraph. While the two groupsfound about the same number of real mistakesin the passage, the number of things that wereincorrectly identified as mistakes was more inter-esting. Some numerical summaries of the datafollow.(a) State appropriate hypotheses for performing asignificance test in this setting. Be sure to define theparameter of interest.Groupn MeanSD(b) The distribution of household spending in thissmall city is heavily skewed to the right. Explainwhy the NormalLarge Sample condition is met inthis case.Non-native 303.15 258No info30 0.85 109(a) Is there convincing evidence at the a 0.05significance level that the mean mumber of "mistakes"found will be greater when people like thesevolunteers are told that the author is a non-nativespeaker?(c) The Pvalue of the test is 0.128. Interpret this value.What conclusion wouldmake?no,T11.12 As a non-native English speaker, Sanda is con-vinced that people find more grammar and spell-ing mistakes in essays when they think the writeris a non-native English speaker. To test this, sherandomly sorts a group of 60 volunteers into twogroups of 30, Both groups are given the same(b) Based on your conclusion in part (a), which type oferror-a Type I error or a Type Il enor-could youhave made? Explain your answer.

Name: #12 the correctness of your methods as well as on the accuracy and col
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Description: #12 the correctness of your methods as well as on the accuracy and collT11.11 Agovernment report says that the average amountof money spent per U.S. household per week onfood is about $158. A random sample of 50 house-holds in a small city is selecte

Given Group n Mean SD Non-native 30 3.15 2.58 No info 30 0.85 1.09

Math

Statistics

paragraph to read. One group is told that the author of the paragraph is someone whose native language is not English. The other group is told nothing about the author. The subjects are asked to count the umber of spelling and grammar mistakes in the paragraph. While the two groups found about the same number of real mistakes in the passage, the number of things that were incorrectly identified as mistakes was more inter- esting. Some numerical summaries of the data follow. Group n Mean SD Non-native 30 3.15 258 No info 30 0.45 1.09 a) Is there convincing evidence at the a 0.05 significance level that the mean mumber of "mistakes" found will be greater when people like these volunteers are told that the author is a non-native speaker? (b) Based on your conclusion in part (a), which type of error-a Type l error or a Type II ernor-could you have made? Explain your answer.

paragraph to read. One group is told that the author of the paragraph is someone whose native language is not English. The other group is told nothing about the author. The subjects are asked to count the umber of spelling and grammar mistakes in the paragraph. While the two groups found about the same number of real mistakes in the passage, the number of things that were incorrectly identified as mistakes was more inter- esting. Some numerical summaries of the data follow. Group n Mean SD Non-native 30 3.15 258 No info 30 0.45 1.09 a) Is there convincing evidence at the a 0.05 significance level that the mean mumber of "mistakes" found will be greater when people like these volunteers are told that the author is a non-native speaker? (b) Based on your conclusion in part (a), which type of error-a Type l error or a Type II ernor-could you have made? Explain your answer.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Topic Video

Question

#12

the correctness of your methods as well as on the accuracy and coll
T11.11 Agovernment report says that the average amount
of money spent per U.S. household per week on
food is about $158. A random sample of 50 house-
holds in a small city is selected, and their weekly
spending on food is recorded. The sample data
have a mean of $165 and a standard deviation of
$32. Is there convincing evidence that the mean
weekly spending on food in this city differs from the
national figure of $1587
paragraph to read. One group is told that the
author of the paragraph is someone whose native
language is not English. The other group is told
nothing about the author. The subjects are asked
to count the umber of spelling and grammar
mistakes in the paragraph. While the two groups
found about the same number of real mistakes
in the passage, the number of things that were
incorrectly identified as mistakes was more inter-
esting. Some numerical summaries of the data
follow.
(a) State appropriate hypotheses for performing a
significance test in this setting. Be sure to define the
parameter of interest.
Group
n Mean
SD
(b) The distribution of household spending in this
small city is heavily skewed to the right. Explain
why the NormalLarge Sample condition is met in
this case.
Non-native 30
3.15 258
No info
30 0.85 109
(a) Is there convincing evidence at the a 0.05
significance level that the mean mumber of "mistakes"
found will be greater when people like these
volunteers are told that the author is a non-native
speaker?
(c) The Pvalue of the test is 0.128. Interpret this value.
What conclusion would
make?
no,
T11.12 As a non-native English speaker, Sanda is con-
vinced that people find more grammar and spell-
ing mistakes in essays when they think the writer
is a non-native English speaker. To test this, she
randomly sorts a group of 60 volunteers into two
groups of 30, Both groups are given the same
(b) Based on your conclusion in part (a), which type of
error-a Type I error or a Type Il enor-could you
have made? Explain your answer.

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