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.
$X$ = the number of estimates.
$x$
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.
$M=3$ ;
$\mathrm{Q1}=1$ ;
$\mathrm{Q3}=4$
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.
$\frac{\text{32}}{\text{70}}$
$\frac{8}{\text{32}}$
$\frac{8}{8}$
$\frac{8}{\text{70}}$
D
Find the probability that a child does not prefer pizza.
$\frac{\text{30}}{\text{70}}$
$\frac{\text{30}}{\text{40}}$
$\frac{\text{40}}{\text{70}}$
1
C
Find the probability a child is in the 5th grade given that the child prefers spaghetti.
$\frac{9}{\text{19}}$
$\frac{9}{\text{70}}$
$\frac{9}{\text{30}}$
$\frac{\text{19}}{\text{70}}$
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
$X$ .
State the distribution for
$X$ .
Find the probability that Lee bakes more than 25 pies in any given day.
$P(\text{20})$
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:
$(5\text{.}\text{52},8\text{.}\text{48})$
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
Is there any normative that regulates the use of silver nanoparticles?
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.
Tarell
what is the actual application of fullerenes nowadays?
Damian
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.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
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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