Asked by Mykal Josie on Jul 04, 2024
Verified
Ahmadi, Inc., has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving.The company has developed a more efficient engine for its small cars and now advertises that its new small cars average more than 50 miles per gallon in highway driving.An independent testing service road-tested 64 of the automobiles.The sample showed an average of 51.5 miles per gallon with a standard deviation of 4 miles per gallon.
a.
Formulate the hypotheses to determine whether or not the manufacturer's advertising campaign is legitimate.
b.
Compute the test statistic.
c.
What is the p-value associated with the sample results and what is your conclusion? Let α = .05.
Test Statistic
A calculated value from sample data used to make a decision about the validity of a hypothesis in statistical hypothesis testing.
P-Value
A measure in statistics that helps in determining the significance of results obtained from a hypothesis test.
Advertising Campaign
A series of advertisement messages that share a single idea and theme intended to market a product or service.
- Gain an understanding of the procedures to develop null and alternative hypotheses for a range of statistical tests.
- Evaluate test statistics for different categories of data and research approaches.
- Acquire knowledge on the foundation of p-value and the process of its computation.
Verified Answer
AM
Aracelli MendozaJul 07, 2024
Final Answer :
a.
H0: μ
50 miles per gallon
Ha: μ > 50 miles per gallon
b.
t = 3
c.
p-value (.0019) is less than .005; reject H0; the manufacturer's advertising campaign is legitimate.
a.
H0: μ
50 miles per gallonHa: μ > 50 miles per gallon
b.
t = 3
c.
p-value (.0019) is less than .005; reject H0; the manufacturer's advertising campaign is legitimate.
Learning Objectives
- Gain an understanding of the procedures to develop null and alternative hypotheses for a range of statistical tests.
- Evaluate test statistics for different categories of data and research approaches.
- Acquire knowledge on the foundation of p-value and the process of its computation.