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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 phylogeny
Odigie Reply
evolutionary history and relationship of an organism or group of organisms
AI-Robot
ok
Deng
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the study of living organisms and their interactions with one another and their environments
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HOW CAN MAN ORGAN FUNCTION
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the diagram of the digestive system
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Ogenrwot
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William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
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Josephine Reply
Genetics is the study of heredity
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Joseph Reply
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the study of living organisms and their interactions with one another and their environment.
Wine
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Joseph Reply
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Shaker Reply
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
Abdullahi Reply
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
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DENG
cells is the basic structure and functions of all living things
Ramadan
What is classification
ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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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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