YOU GET 50 POINTS IF YOU ANSWER THIS , The map shows the location of four places in a school. A coordinate plane is shown. There
2 answers:
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Answer:
a) Mean = 27.65
Median = 27.645
b) Relative Frequency = 33.33%
Step-by-step explanation:
We are given the following data set:
25.78, 21.06, 36.54, 29.51, 18.96, 34.05
a) Mean and Median
Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54
b) BMI above 30 is considered obese
Frequency of obese in the given sample = 2
Relative Frequency =
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 different from 4.6 at 2% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z 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 equal or not to 4.6, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-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
Since is a two sided 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 different from 4.6 at 2% of signficance.