Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:
The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).
The answer is c because it equivalent to 27
Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.
<h3>What is the missing information?</h3>
This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:
- 6 of these players have scores between 300 and 700.
- 6 of these players have scores between 700 and 1100.
- 13 of these players have scores between 1100 and 1500.
- 14 of these players have scores between 1500 and 1900.
- 6 of these players have scores between 1900 and 1300.
- 5 of these players have scores between 2300 and 2700.
It asks the proportion of players in the sample with <u>scores that are less than 2300</u>.
<h3>What is an histogram?</h3>
An histogram is a graph that shows the <u>number of times each element of x was observed.</u>
Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have <u>scores that are less than 2300</u>, hence the proportion is given by:
p = 45/50 = 0.9.
More can be learned about histograms at brainly.com/question/25836450
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The angle relationship that best describes angles BAC and DAC is adjacent angles
<h3>What are adjacent angles?</h3>
Adjacent angles are two angles that have a common side and a common vertex but do not overlap in any way.
The common vertex of the angle BAE and FAC is A.
The angles share the same vertex and the same side.
Therefore, the angle relationship that best describes angles BAC and DAC is adjacent angles
learn more on adjacent angles here: brainly.com/question/26520938