5000 * 0.05 * 3.5 = 875
5000 + 875 = 5875
answer: <span>ending balance $5,875</span>
Answer:

And for this case we know this condition:

By the complement rule we know that:

But since the distribution is symmetrical we know that:

So then the statement for this case is FALSE.
b. False
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:

And for this case we know this condition:

By the complement rule we know that:

But since the distribution is symmetrical we know that:

So then the statement for this case is FALSE.
b. False
Answer:
a) 18
b) 2.101
Step-by-step explanation:
a) What are the degrees of freedom for Student's t distribution when the sample size is 19?
Degrees of freedom = n - 1
Where n = sample size
= 19 - 1
= 18
b) Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 19.
(Round your answer to three decimal places.)
We would be determining these using the t distribution table
1 - 0.95 = 0.05 ( for two tailed)
Or
0.05/2 = 0.025(one - tailed)
Hence, the tc(test score) for a 0.95 confidence level when the sample is 19 is 2.101