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Answer:
0.0485 = 4.85% probability that you miss the bus.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We have to find the distribution for the difference in times between when you arrive and when the bus arrives.
You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:
The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So
The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?
You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.
has a pvalue of 0.9515
1 - 0.9515 = 0.0485
0.0485 = 4.85% probability that you miss the bus.
Answer:
(A) For this research we made use of the paired t test.
(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and 1972 as against the alternate Hypothesis Hₐ.
From the output data we have, since the P value is 0.024 and is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.
Note:Kindly find an attached copy of the complete question below.
Step-by-step explanation:
Solution
Recall that:
The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women (LFPR).
We are more interested in if there was a difference between female participation 1968 and 1972, a rapid change in women.
so we will check values for 19 randomly selected cities for 1968 and 1972,
Now,
(a) Which of this test is most appropriate for this data
The test which will be more suitable for these data will be paired to test t.
Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.
In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.
(b)By using the test you selected, explain your conclusion
Now, to test the data paired t test, we have already the null Hypothesis H₀: In this case there is no difference between the average labor force participation rate for women between the years of 1968 and 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and 1972.
However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.
In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.
Note: kindly find an attached copy of the complete question to this solution
below.
