Question

the data set below shows the additional sleep in hours obtained by a sample of 10 patients given a certain medication. complete parts (a) through (c). 1.2 1.3 1.5 0.1 -0.3 2.6 5.1 1.8 3.5 2.4 a. find n. b. compute $sum x_{i}$. c. determine the sample mean. a. n = (type an integer or a decimal.) b. $sum x_{i}$ = (type an integer or a decimal.) c. the sample mean is. (type an integer or a decimal.)

Explanation:

Step1: Find sample size

The sample has 10 data - points, so $n = 10$.

Step2: Calculate sum of data

$1.2+1.3 + 1.5+0.1+( - 0.3)+2.6+5.1+1.8+3.5+2.4=\sum_{i = 1}^{n}x_{i}=18.2$.

Step3: Compute sample mean

The formula for the sample mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Substitute $n = 10$ and $\sum_{i = 1}^{n}x_{i}=18.2$ into the formula, we get $\bar{x}=\frac{18.2}{10}=1.82$.

Answer:

a. $n = 10$
b. $\sum x_{i}=18.2$
c. The sample mean is $1.82$