 # General Statistics Questions

Subject Mathematics General Statistics

## Question

An office building in New York uses thousands of fluorescent light bulb each year. The brand of bulb it currently uses has a mean life of 900 hours. A manufacturer claims that its new brand of bulbs, which cost the same as the brand the office building currently uses, has a mean life of more than 900 hours. The university has decided to purchase the new brand if, when tested, the test evidence supports the manufacturer’s claim at the .05 significance level. Suppose 64 bulbs and the sample has a mean of 920 hours and a standard deviation of 80 hours.
What are the null hypothesis and the alternative hypothesis?
Should the office building purchase the new brand of florescent bulbs? (i.e. test your hypothesis using a z-test)

## Solution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

The null hypothesis is that there is no difference between the two brands of bulbs. The alternative hypothesis is that the new brand has a life that is longer than 900 hours. In symbols:

H0: L = 900
Ha: L > 900

L is the average life of the new brand of bulbs.

Since we have more than 30 observations, we can use the z-test. The question is, if we assume that the average lifespan of the new bulbs is 900 with a standard deviation of 80, is the observed average of 920 hours consistent with...

This is only a preview of the solution. Please use the purchase button to see the entire solution

## Related Homework Solutions

Five Questions in Statistics and Their Solutions \$40.00
Mathematics
Statistics
Equations
Solutions
Graphs
Outcome
Significance
ANOVA
Interaction
Variable
Introduction to Statistics \$15.00
Mathematics
Statistics
Mean Cost
Dollars
Normal Distribution
Alternative Hypothesis
Rejection Region
Chi-Square
Rows
Columns
Population
Level of Significance
Statistics Questions \$15.00
Mathematics
Statistics
Probability
Experiments
Rats
Scores
Errors
Cumulative Percentage
Limits
Frequency Distribution
Students
Statistics Questions \$30.00
Mathematics
Statistics
Frequency Distributions
Tables
Scores
Class Intervals
Products
Scores
Standard Deviation
Mean
Z-Score
T-Score
Revision
Elimination
Statistics Questions \$50.00
Mathematics
Statistics
General Statistics
Mean
Average
Normal Distribution
Standard Deviation
Probability
Statistics Problem: Agriculture Department \$8.00
Statistics
Mathematics
Agriculture Department
Average Coffee Consumption
Gallons
Random Sample
Standard Deviation
Normal Distribution
Percentage
Test Statistics
Alternative Hypothesis
Rejected Regions
Variables
Live Chats