10 points help please help me no understand math
1 answer:
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Answer:
z = -0.139
The data provide evidence that this particular meets the government regulation
Step-by-step explanation:
To determine if the the data provide evidence that this particular meets the government regulation, we need to define a null and alternative hypothesis as:
H0: m = 0.3
H1: m > 0.3
where m is the population mean NOX emission.
Then, we need to find the appropriate statistic. So, taking into account that the model follows a Normal distribution with standard deviation equal to 0.05, the statistic is equal to:
where x is the mean of the sample, m is 0.3 g/mi, s is the population standard deviation and n is the size of the sample.
Therefore, replacing x by 0.298, m by 0.3, s by 0.05 and n by 12, we get that the test statistic is:
Finally, we need to find the p-value using the normal distribution table as:
p-value = P(z > -0.139 ) = 0.4443
So, taking into account that the p-value is big value, we can conclude that we don't reject H0. It means that the data provide evidence that this particular meets the government regulation.
Answer:
After 5 years, savings account = $241.00
After 8 years, savings account = $269.53
Step-by-step explanation:
If the savings account increases by 3.8% per year, this means it will be 103.8% of the previous year's value since 100% + 3.8% = 103.8%
103.8% in decimal form = 103.8/100 = 1.038
Therefore, the exponential function is:
, where
is the number of years
So when ,
After 5 years, savings account = $241.00
After 8 years, savings account = $269.53