Estimate.Then find the productPlease show work and estimate
2 answers:
Estimate that 500 x 4 = 2,000
+ 50 x 4 = 200
+ 6 x 4= 24
so you can estimate somewhere between 2,000-2,224
To multiply:
Start with 6 x 4 which equals 24.
You can only put the last letter in the answer and carry the two over the second 5.
Next comes 5 x 4 + the 2 you carried, so 22.
Write down a two in the answer and carry the next two.
5 x 4 + 2 again is 22, this time, since there are no numbers left to carry the 2 over to, you're left with 2,224.
+ 50 x 4 = 200
+ 6 x 4= 24
so you can estimate somewhere between 2,000-2,224
To multiply:
Start with 6 x 4 which equals 24.
You can only put the last letter in the answer and carry the two over the second 5.
Next comes 5 x 4 + the 2 you carried, so 22.
Write down a two in the answer and carry the next two.
5 x 4 + 2 again is 22, this time, since there are no numbers left to carry the 2 over to, you're left with 2,224.
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Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.
Step-by-step explanation:
Data given and notation
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)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is higher than 42, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic 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:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.