The top 15% (85th percentile) is the cutoff value 
such that
where
is the corresponding cutoff for the standardized normal distribution. We have 
, and so
where
Which of the following is the graph of y=- square root x+1
2 answers:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Find the intercepts
<u>The y-intercept</u> is the value of y when the value of x is equal to zero
so
For x=0 ----->
The y-intercept is the point (0,-1)
<u>The x-intercept </u>is the value of x when the value of y is equal to zero
so
For y=0 -----> ----->
The x-intercept is the point (-1,0)
<em>Find the domain</em>
we know that
The radicand must be positive
so
All real numbers greater than or equal to -1
The range is all real numbers less than or equal to -1
using a graphing tool
see the attached figure
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The poopulation exponential model is given by
Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:
Thus, the exponential equation using the 1750 and the 1800 population values is
The population of 1900 using the 1750 and the 1800 population values is given by
The population of 1950 using the 1750 and the 1800 population values is given by
From the table, it can be seen that the actual figure is greater than the exponential model values.
Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:
Thus, the exponential equation using the 1750 and the 1800 population values is
The population of 1900 using the 1750 and the 1800 population values is given by
The population of 1950 using the 1750 and the 1800 population values is given by
From the table, it can be seen that the actual figure is greater than the exponential model values.
Answer:
a. Null hypothesis:
Alternative hypothesis:
b.
c.
So with the p value obtained and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (Low Blood Lead level) is significantly higher than the mean for the group 2 (High Blood Lead level).
Step-by-step explanation:
a. State and label the null and alternative hypotheses.
The system of hypothesis on this case are:
Null hypothesis:
Alternative hypothesis:
Or equivalently:
Null hypothesis:
Alternative hypothesis:
Our notation on this case :
represent the sample size for group 1
represent the sample size for group 2
represent the sample mean for the group 1
represent the sample mean for the group 2
represent the sample standard deviation for group 1
represent the sample standard deviation for group 2
b. State the value of the test statistic.
And the statistic is given by this formula:
Where t follows a t distribution with degrees of freedom. If we replace the values given we have:
Now we can calculate the degrees of freedom given by:
c. Find either the critical value(s) and draw a picture of the critical region(s) or find the P-value for this test. Indicate which method you are using: ( CIRCLE ONE: Critical value / P-value )
Method used: P value
And now we can calculate the p value using the altenative hypothesis, since it's a right tail test the p value is given by:
So with the p value obtained and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (Low Blood Lead level) is significantly higher than the mean for the group 2 (High Blood Lead level).