Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h. She writes the expre
ssion 1,000(3h) to find the number of amoeba after h hours. Tyler starts with a population of 1 amoeba that increases 30% in size every hour for a number of hours, h. He writes the expression (1+0.3)h to find the number of amoeba after h hours. Use the drop-down menus to explain what each part of Madison’s and Tyler’s expressions mean.
2 answers:
Answer: The meaning of each term of the Madison’s and Tyler’s expressions is mentioned below.
Step-by-step explanation:
Since, when Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h.
That is, after 1 hour total number of amoebas = 3×1000 =
After 2 hour, total number of amoebas = 3×3000=
After 3 hour, total number of amoebas = 3×9000=
similarly, after h hours, total number of amoebas,
f(h) =
where, 1000 is the initial population of amoeba 3 is the growth factor of population and f(h) is the population of amoeba after h hours.
Since, when Tyler starts with a population of 1 amoeba that increases 30% in size every hour for a number of hours.
That is, after 1 hour total number of amoebas =
After 2 hour, total number of amoebas =
After 3 hour, total number of amoebas =
Similarly, after h hours, total number of amoebas,
f(h) =
Where, 1 is the initial population of amoeba, 0.3 is the growth rate and 1.3 is the growth factor.
You might be interested in
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
c)
d) If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant lower than the proportion of female that write with their left hand
Step-by-step explanation:
1) Data given and notation
represent the number of men that write with their left hand
represent the number of women that write with their left hand
sample of male selected
sample of female selected
represent the proportion of men that write with their left hand
represent the proportion of women that write with their left hand
represent the significance level
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to check if the rate of left-handedness among males is less than that among females , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
3) Calculate the statistic
Replacing in formula (1) the values obtained we got this:
4) Statistical decision
We have a significance level provided , and now we can calculate the p value for this test.
Since is a one left side test the p value would be:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant loer than the proportion of female that write with their left hand .