Sign In
Not register? Register Now!
Essay Available:
You are here: HomeMath ProblemMathematics & Economics
Pages:
5 pages/≈1375 words
Sources:
2 Sources
Level:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 21.6
Topic:

Hypothesis Testing: Cell Batteries (Math Problem Sample)

Instructions:

Hypothesis testing simple tasks

source..
Content:


Student’s Name
Professor’s Name
MAT 361
Date
Hypothesis Testing I
Q1.
John Kleman is the host of the KXYX Radio AM drive-time news in Denver.
During his morning program, John asked listeners to call in and discuss current
local and national news. This morning, john was concerned with the numbers
of hours children under 12 years of age watched TV per day. The last 5 callers
reported that their children watched the following numbers of hours of hours of
TV last night.
3.0
3.5
4.0
4.5
3.0
Would it be reasonable to develop a confidence interval from these data to
show the mean number of hours of TV watched? If yes, construct an
appropriate confidence interval and interpret the result. If no, why would a
Is the confidence interval not appropriate?
Solution
NO,
We don't have enough data points to determine what the confidence interval (C.I) of the mean is.
Furthermore, calculating and evaluating the Confidence Interval (CI) based on the data points provided would be insignificant for the study.
Q.2
A manufacture of cell phone batteries wants to estimate the useful life of it's
battery (in thousand of hours.) The estimate is to be within 0.10 (100) hours.
Assume a 95% level of confidence and that the standard deviation of the
The useful life of the battery is 0.90 (900 hours). Determine the required sample size.
Solution
We do the correct declaration of variables and see what we have and don't(Nearing et.,al 2020)
C.I = 95%
x_bar = 0.10,
Std =0.9
to calculate confidence interval;
x_bar=z* σ √n
Check for Z_score at 95% CI, from statistical tables, we find Z = 1.96
It Follows;
0.1=1.96× 0.9 √n,
= 100 √n = 0.9 × 1.96 ;
Make n the Subject of the formula;
n=( 0.90×1.96 0.1 ) 2
=311.16≅311
Therefore , we find n is approximately 311
Q3
In a sample of 200 residents of Georgetown country, 120 reported they believe that country real estate taxes were too high. Developed a 95% confidence interval that proportioned of residents who believe the tax rate is too high. Would it be reasonable to conclude that the majority of the taxpayers feel that the tax is too high.
Solution
We know that;
N = 200
Proportion, n = 120
Proportion of people who believe that tax rate is too high,
P = (120/200) =0.60
We wish to perform a test statistic based on the proportion at 95% to see if the proportion falls inside the confidence interval
= 1.96 {p*(1-0.6/120)^0.5}
=0.067896
It is clear that the confidence interval would include the proportion, 0.60, and thus it is significantly adequate to conclude that, YES, the majority of taxpayers believe that taxes are too high.
Q4
The Buffalo distributor wants to find out whether there is a difference in the mean sales for cola stacked at the four locations in the

...
Get the Whole Paper!
Not exactly what you need?
Do you need a custom essay? Order right now:

Other Topics:

  • Computation of a Mathematical Equation
    Description: Factoring method x2-2x-15=0 Find the product and the sum of the equation Product=1×-15=-15 and sum=-2 Expand the equation x2-5x+3x-15=0 Factorise x+3x-5=0 Set each equation equal to zero x+3=0 or x-5=0 x=-3 or 5 Quadratic methodax2+bx+c=0 x=-b±b2-4ac2a x2-2x-15=0 Apply the quadratic formula...
    6 pages/≈1650 words| 3 Sources | APA | Mathematics & Economics | Math Problem |
  • Quadratic Functions and the Substitution Method
    Description: et the sides of the triangle be a,b,c a=b-1 and=b+1 and b=b r=△s=ss-as-bs-cs=4 s=3b2 b2+1b2b2-13b2=4 Square both side b2+1b2b2-13b2=16 Simplify the equation b+22b2b-223b2 (b2-4)b=192b Which implies that b3-4b=192b Which implies that b3=196b Divide both side by b , b2=196 which implies that b=14...
    5 pages/≈1375 words| 3 Sources | APA | Mathematics & Economics | Math Problem |
  • Solving Mathematical Word Problems Involving Speed
    Description: Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling? * The speed of Noelle would be: x mph * Then the speed of Vivian would be: x-5 mph * ...
    1 page/≈275 words| 1 Source | APA | Mathematics & Economics | Math Problem |
Need a Custom Essay Written?
First time 15% Discount!