Answer:
0.884
Step-by-step explanation:
When you multiply exponents together, you add the powers values together.
Step 1: Multiply base numbers
6.8(1.3) = 8.84
Step 2: Multiply (add) exponentials
Step 3: Combine into scientific notation
Step 4: Evaluate into standard form
0.884
Answer:
e) (10.94, 11.66)
Step-by-step explanation:
We have a small sample size of n = 15 departing truck loads (we suppose that the sample comes from a normal distribution), the average number of damaged items per truck load is calculated to be with a calculated sample variance
= 0.64. The 90% confidence interval for the true mean of damaged items is given by
where
is the
th quantile of the t distribution with n - 1 = 14 degrees of freedom.
As we want the 90% confidence interval, we have that and the confidence interval is
where
. Then, we have
and the 90% confidence interval is given by (10.94, 11.66)
Standard deviation is a measurement of a collection of values' variance or dispersion. The standard deviation of the data set is 2.474.
<h3>How to calculate the standard deviation of a data set?</h3>Step 1: Find the mean
Step 2: Find each score’s deviation from the mean
Step 3: Square each deviation from the mean
Step 4: Find the sum of squares
Step 5: Apply the formula
The data set that is given to us is {1, 4, 2, 2, 8, 7, 3}, now use the steps to calculate the standard deviation.
Step 1: Find the mean
The mean of the given data set can be written as,
Step 2: Find each score’s deviation from the mean
1 - 3.857 = -2.857
4 - 3.857 = 0.143
2 - 3.857= -1.857
2 - 3.857= -1.857
8 - 3.857 = 4.143
7 - 3.857 = 3.143
3 - 3.857 = -0.857
Step 3: Square each deviation from the mean
-2.857² = 8.162
0.143² = 0.02
-1.857² = 3.447
-1.857² = 3.447
4.143² = 17.165
3.143² = 9.877
-0.857²= 0.735
Step 4: Find the sum of squares
8.162+0.20+3.447+3.447+17.165+9.877+0.735 = 42.857
Step 5: Apply the formula
Hence, the standard deviation of the data set is 2.474.
Learn more about Standard Deviation: