What values of c and d would make the following expression represent a real number? i(2 + 3i)(c + di)
2 answers:
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Answer:20 and 15 gallons
Step-by-step explanation:
Given
The first car gets 25 miles per gallon
The second car gets 15 miles per gallon
Two cars consumed 35 Gallons
they went for 725 miles in total
suppose the first car consumes x gallons
so, the second car consumes 35-x gallons of gas
We can write
First consumed 20 gallons and second consumed 15 gallons
Answer:
If we compare the p value and a significance level for example we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.
Step-by-step explanation:
Data given and notation
represent the average lateral recumbency for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to apply a left tailed test.
What are H0 and Ha for this study?
Null hypothesis:
Alternative hypothesis :
Compute the test statistic
The statistic for this case is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
The degrees of freedom are given by:
Give the appropriate conclusion for the test
Since is a one side left tailed test the p value would be:
Conclusion
If we compare the p value and a significance level for example we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.