Hello!
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.
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