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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

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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.

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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%
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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} {}

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

1 and 4

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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

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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

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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

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A sample of convenience is a random sample.

  • true
  • false

B

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

  • true
  • false

B

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You should always throw out any data that are outliers.

  • true
  • false

B

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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
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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": \( 5 "." "52",8 "." "48" \) } {}

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

  • mean = median ≠ mode
  • mean>median>mode
  • mean = median = mode
  • uniform
  • exponential
  • normal
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Questions & Answers

What is inflation
Bright Reply
a general and ongoing rise in the level of prices in an economy
AI-Robot
What are the factors that affect demand for a commodity
Florence Reply
differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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