I need help filling in the blank
1 answer:
The basic format for an exponential equation is y=ab^x
You know the Initial value is 16 and the decay constant is 0.5:
y=16x0.5^x
Percent increased by: 0.5/16 x 100%
=3.125%
I have attached the graph below.
Sample problem:
Scientists started with an unknown sample. They weighed 16 grams of it. They noticed soon after that the sample was decaying at the speed of 0.5 grams every year. Model an equation.
Hope I helped :)
You know the Initial value is 16 and the decay constant is 0.5:
y=16x0.5^x
Percent increased by: 0.5/16 x 100%
=3.125%
I have attached the graph below.
Sample problem:
Scientists started with an unknown sample. They weighed 16 grams of it. They noticed soon after that the sample was decaying at the speed of 0.5 grams every year. Model an equation.
Hope I helped :)
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<h2><u>Answer with explanation</u>:</h2>
Let be the population mean.
As per given , we have
Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given , so we perform one-tailed z-test.
Test statistic :
, where = Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 , ,
,
, we have
P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .