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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.


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"} } } } {}


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


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 sample of convenience is a random sample.

  • true
  • false


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

  • true
  • false


You should always throw out any data that are outliers.

  • true
  • false


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 the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
How can I make nanorobot?
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
how can I make nanorobot?
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Elementary statistics. OpenStax CNX. Dec 30, 2013 Download for free at http://cnx.org/content/col10966/1.4
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