Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Step-by-step explanation:
Data given
represent the sample mean
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)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a one sided test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Answer:
680 Bacteria
Step-by-step explanation:
378 is evenly divisible by 126, which is equal to 3.
The first 126 minutes, the 85 bacteria will double to 170 bacteria.
The second 126 minutes (252 minutes total), the 170 bacteria will double to 340 bacteria.
The final 126 minutes (378 minutes total), the 340 bacteria will double to 680 bacteria total.
If this helped, a brainliest would be greatly appreciated!
If it's a rhombus, then the diagonals are equal.
Answer:
Step-by-step explanation:
Given that twenty-three percent of automobiles are not covered by insurance (CNN, February 23,2006).
considering the total number of vehicles, probability for a randomly drawn vehicle not covered by insurance = 0.23
Each vehicle can be treated as independent of the other
Hence X no of vehicles not covered by insurance is Binom with n = 35 and p - 0.23
a) the expected number of these automobiles that are not covered by insurance=E(x) =
b) the variance
=
Std dev = square root of variance = 2.4897
I just plugged both equations into my calculator and found where they intersect. But you can do the same on paper by manually finding that intersection in the graph which should be (2,4)
