I can't figure out which one this is,
1 answer:
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Answer:
a
The null hypothesis is
The alternative hypothesis is
The null hypothesis is rejected
b
The 99% confidence level is
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The population mean is
The level of significance is
The sample data is
13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002
Generally the sample mean is mathematically represented as
=>
Generally the sample standard deviation is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
Generally the p-value is mathematically represented as
From the z-table
So
So from the obtained value we see that
Hence the null hypothesis is rejected
Consider the b question
Given that the confidence level is 99% then the level of significance is
=>
Generally from the normal distribution table critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally the 99% confidence interval is mathematically represented as
=>
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
Answer:
The population of the town in the year 1962 will be 1730.
Step-by-step explanation:
The population of Smallville can be found by the equation , where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.
Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be (Approximate)