A vet's office wants to expand services. The office surveyed a random sample of clients and asked which service they would most like to be added. The table shows the results. 16/grooming. 9/boarding, 21/daycare, 19/training lessons,

Question

The office has a total of 195 clients based on the survey results. How many clients should the office expect to want daycare services

Answer 1

To find out how many clients should be expected to want daycare services based on the survey results, you will first need to calculate the total responses from the survey and then find the proportion of clients who want daycare services.

Based on the data given:

• Grooming: 16
• Boarding: 9
• Daycare: 21
• Training lessons: 19

First, calculate the total number of responses:

\[ \text{Total responses} = 16 + 9 + 21 + 19 = 65 \]

Next, find the proportion of clients who want daycare services:

\[ \text{Proportion wanting daycare} = \frac{\text{Number who want daycare}}{\text{Total responses}} = \frac{21}{65} \]

Now, multiply this proportion by the total number of clients (195) to find the expected number of clients who would want daycare services:

\[ \text{Expected clients wanting daycare} = \frac{21}{65} \times 195 \]

Calculating that:

\[ \text{Expected clients wanting daycare} = \frac{21 \times 195}{65} = \frac{4095}{65} \approx 63 \]

So, the office should expect approximately 63 clients to want daycare services.