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This module provides an overview of Hypothesis Testing of Single Mean and Single Proportion as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

Rebecca and Matt are 14 year old twins. Matt’s height is 2 standard deviations below the mean for 14 year old boys’ height. Rebecca’s height is 0.10 standard deviations above the mean for 14 year old girls’ height. Interpret this.

  • Matt is 2.1 inches shorter than Rebecca
  • Rebecca is very tall compared to other 14 year old girls.
  • Rebecca is taller than Matt.
  • Matt is shorter than the average 14 year old boy.

D

Construct a histogram of the IPO data (see Table of Contents, 14. Appendix, Data Sets). Use 5 intervals.

No solution provided. There are several ways in which the histogram could be constructed.

The next three exercises refer to the following information: Ninety homeowners were asked the number of estimates they obtained before having their homes fumigated. X size 12{X} {} = the number of estimates.

x size 12{X} {} Rel. Freq. Cumulative Rel. Freq.
1 0.3
2 0.2
4 0.4
5 0.1

Complete the cumulative relative frequency column.

Calculate the sample mean (a), the sample standard deviation (b) and the percent of the estimates that fall at or below 4 (c).

  • 2.8
  • 1.48
  • 90%

Calculate the median, M, the first quartile, Q1, the third quartile, Q3. Then construct a boxplot of the data.

M = 3 size 12{M=3} {} ; Q1 = 1 size 12{Q1=1} {} ; Q3 = 4 size 12{Q3=4} {}

The middle 50% of the data are between _____ and _____.

1 and 4

The next three questions refer to the following table: Seventy 5th and 6th graders were asked their favorite dinner.

Pizza Hamburgers Spaghetti Fried shrimp
5th grader 15 6 9 0
6th grader 15 7 10 8

Find the probability that one randomly chosen child is in the 6th grade and prefers fried shrimp.

  • 32 70 size 12{ { { size 8{"32"} } over { size 8{"70"} } } } {}
  • 8 32 size 12{ { { size 8{8} } over { size 8{"32"} } } } {}
  • 8 8 size 12{ { { size 8{8} } over { size 8{8} } } } {}
  • 8 70 size 12{ { { size 8{8} } over { size 8{"70"} } } } {}

D

Find the probability that a child does not prefer pizza.

  • 30 70 size 12{ { { size 8{"30"} } over { size 8{"70"} } } } {}
  • 30 40 size 12{ { { size 8{"30"} } over { size 8{"40"} } } } {}
  • 40 70 size 12{ { { size 8{"40"} } over { size 8{"70"} } } } {}
  • 1

C

Find the probability a child is in the 5th grade given that the child prefers spaghetti.

  • 9 19 size 12{ { { size 8{9} } over { size 8{"19"} } } } {}
  • 9 70 size 12{ { { size 8{9} } over { size 8{"70"} } } } {}
  • 9 30 size 12{ { { size 8{9} } over { size 8{"30"} } } } {}
  • 19 70 size 12{ { { size 8{"19"} } over { size 8{"70"} } } } {}

A

A sample of convenience is a random sample.

  • true
  • false

B

A statistic is a number that is a property of the population.

  • true
  • false

B

You should always throw out any data that are outliers.

  • true
  • false

B

Lee bakes pies for a small restaurant in Felton, CA. She generally bakes 20 pies in a day, on the average. Of interest is the num.ber of pies she bakes each day

  • Define the Random Variable X size 12{X} {} .
  • State the distribution for X size 12{X} {} .
  • Find the probability that Lee bakes more than 25 pies in any given day.
  • P ( 20 ) size 12{P \( "20" \) } {}
  • 0.1122

Six different brands of Italian salad dressing were randomly selected at a supermarket. The grams of fat per serving are 7, 7, 9, 6, 8, 5. Assume that the underlying distribution is normal. Calculate a 95% confidence interval for the population mean grams of fat per serving of Italian salad dressing sold in supermarkets.

CI: ( 5 . 52 , 8 . 48 ) size 12{ ital "CI": \( 5 "." "52",8 "." "48" \) } {}

Given: uniform, exponential, normal distributions. Match each to a statement below.

  • mean = median ≠ mode
  • mean>median>mode
  • mean = median = mode
  • uniform
  • exponential
  • normal

Questions & Answers

what is monopoli power
Adzaho Reply
the situation that prevails when economic forces balance so that economic variables neither increase nor decrease
Bombey
what is equilibrium
Kabir
what are the important of economic to accounting students with references
salihu Reply
Economics is important because it helps people understand how a variety of factors work with and against each other to control how resources such as labor and capital get used, and how inflation, supply, demand, interest rates and other factors determine how much you pay for goods and services.
Muhammad
explain the steps taken by the government in developing rural market?
Azeem Reply
contribution of Adam smith in economics
abel Reply
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AS
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Umarou
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AS
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Amir
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Effah Reply
Pls, I need more explanation on price Elasticity of Supply
Isaac Reply
Is the degree to the degree of responsiveness of a change in quantity supplied of goods to a change in price
Afran
what is production
Humaira
Okay what is land mobile and land unmobile
scor
And what are the resources in land
scor
what is production
Humaira
the proces of using the services of labor and equipmnt together with other in puts to make goods and services availble
Bombey
Okay what is land mobile and land unmobile
scor
Discuss the short-term and long-term balance positions of the firm in the monopoly market?
Rabindranath Reply
hey
Soumya
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Mitiku
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Mitiku
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Soumya
through hard study and performing well than expected from you
Mitiku
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Soumya
prepare first, in psychologically as well as potentially to sacrifice what's expected from you, when I say this I mean that you have to be ready, for every thing and to accept failure as a good and you need to change them to potential for achievement of ur goals
Mitiku
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Soumya
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Rabindranath
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Mitiku
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Momoh
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Isaac
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Isaac
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Afran
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Afran
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OLANIYI
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OLANIYI
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Lerato
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Umarou
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Humaira
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Liaqat
what is firms
Anteyi Reply
A firm is a business entity which engages in the production of goods and aimed at making profit.
Avuwada
What is autarky in Economics.
Avuwada
what is choice
Tia Reply
So how is the perfect competition different from others
Rev Reply
what is choice
Tia
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Alfred Reply
1
Naziru
what is the difference between short run and long run?
Ukpen Reply
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Anna
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Ukpen
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Ada
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Ukpen
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Docky
Is there an economics expert here?
Docky
Okay and I was being serous
Anna
The short run is a period of time in which the quantity of at least one inputs is fixed...
Anna
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Anna
Elacisity
salihu
Meaning of economics
Suraj Reply
It will creates rooms for an effective demands.
Chinedum Reply
different between production and supply
babsnof
Hii
Suraj
hlo
eshita
What is the economic?
Suraj
Economics is a science which study human behavior as a relationship between ends and scarce means which has an alternative use.
Mr
what is supply
babsnof
what is different between demand and supply
Debless Reply
Demand refers to the quantity of products that consumers are willing to purchase at various prices per time while Supply has to do with the quantity of products suppliers are willing to supply at various prices per time. find the difference in between
Saye
what is demand
Humaira
demand is a relationship btn the price of an item and the quantity demanded
Bombey
Difference between extinct and extici spicies
Amanpreet Reply
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension
Beverly Reply
in a comparison of the stages of meiosis to the stage of mitosis, which stages are unique to meiosis and which stages have the same event in botg meiosis and mitosis
Leah Reply
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Source:  OpenStax, Collaborative statistics (custom lecture version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11543/1.1
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