Q 3.30. - Elementary Statistics

Question

Honeymoons. Popular destination for the newlyweds of today are the Caribbean and Hawaii. According to a recent American Wedding Study by the Conde Nat Bridal Group, a honeymoon, on a average, lasts 9.4 days and costs $5111. A sample of newlyweds reported the following lengths of stay of their honeymoons

Part (a) find $n$

Part (b) Compute $\sum _{}{x}_i$

Part (c) Determine the sample mean. Round your answer to one more decimal place than that used for the observation.

Step-by-Step Solution

Answer

Part (a)   12

Part (b) 108

Part (c) 9

Part (a) Step 1. Given information.

The provided data set is:

5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

Part (a) Step 2. The value of n .

The given collection is: 5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

The number of samples is 12

Then

$n=12$

As a result, the value of n is 12.

Part (b) Step 1. Given information.

The provided data set is:

5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

Part (b) Step 2. The value of ∑ x i .

The value of $\sum _{}{x}_i$ is calculated as follows:

$$\begin{gathered} \sum _{}{x}_i=5+14+7+10+6+12+9+7+11 \\ \sum _{}{x}_i=108 \end{gathered}$$

As a result, the value of $\sum _{}{x}_i$ is 108.

Part (c) Step 1. Given information.

The provided data set is:

5, 14, 7, 10, 6, 8, 12, 9, 10, 9, 7, 11.

Part (c) Step 2 The sample average.

Mean is expressed as follows:

$\overline{x}=\frac{\sum _{}x}{n}$

The mean of the given data set is computed as follows:

$$\begin{gathered} \overline{x}=\frac{108}{12} \\ \overline{x}=9 \end{gathered}$$

As a result, the sample mean days is 9.