Answer:
a) Sample mean = 9.99
Sample standard deviation = 0.3348
b) -1.0389
c) 0.1631
Step-by-step explanation:
We are given the following in the question:
9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3
a) sample mean and standard deviation
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences = 1.009
b) observed value of the t-statistic
Formula:
Putting all the values, we have
c) probability of these statistics (or worse) if the true mean were 10.1 mm
Degree of freedom = n - 1 = 9
Calculating the value from the table
0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm
The answer is the first and the third figure,attached
Well I'm not sure what the answer would be since I'm not that smart but I did get the answer of 90, I did this by dividing 72 by 80 which equals .9 and I multiplied that by 100 and got 90.
Answer:
1. the range of f^-1(x) is {10, 20, 30}.
2. the graph of f^-1(x) will include the point (0, 3)
3. n = 8
Step-by-step explanation:
1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.
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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).
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3. The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
You are given a1 = 2, a12 = 211, so ...
211 = 2 + d(12 -1)
209/11 = d = 19 . . . . . solve the above equation for the common difference
Now, we can use the same equation to find n for an = 135.
135 = 2 + 19(n -1)
133/19 = n -1 . . . . . . . subtract 2, divide by 19
7 +1 = n = 8 . . . . . . . . add 1
135 is the 8th term of the sequence.
