p-value=
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![The manufacturer of a particular brand of tires claims they
average at least 50,000 miles before needing to be
replaced. From past studies of this tire, it is known that
the population standard deviation is 8,000 miles.
A survey of tire owners was conducted. From the 21 tires
surveyed, the mean lifespan was 41500 miles. Using alpha
0.05, can we prove that the data in inconsistent with the
manufacturers claim?
We should use a (z
test.
What are the correct hypotheses?
Họ: H
50000
Ha: (H
V 50000
<
Based on the hypotheses, find the following:
Test Statistic= -4.8689
p-value=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F635b346c-a75e-4407-a1f8-d217760bfc6b%2F1cd37b83-1ffa-4ac2-af2e-df2ca97debc6%2Fhiy17l9_processed.jpeg&w=3840&q=75)
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