Answer: x^(5/6)
Step-by-step explanation: screenshot
Please solve 2x+3=x−4
2 answers:
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Answer:
We know that the p value is 0.1, and since is a left tailed test would be given by:
And we can find the calculated value using excel or the t table.
If we use the following excel code we got: "=T.INV(0.1,48)"
And the calculated value is
Step-by-step explanation:
State the null and alternative hypotheses to be tested
We need to conduct a hypothesis in order to determine if the true mean is lower than specified valu , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Compute the test statistic
We don't know the population deviation, so for this case 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".
We can find the degrees of freedom for this test given by:
We know that the p value is 0.1, and since is a left tailed test would be given by:
And we can find the calculated value using excel or the t table.
If we use the following excel code we got: "=T.INV(0.1,48)"
And the calculated value is
Answer:
So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case
Step-by-step explanation:
For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:
And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:
So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case