Question
n ice cream store owner randomly samples 50 customers each day on three separate days to give their opinion about which flavor should be the flavor of the month. Based on the results of the survey, if the ice cream store owner asks 2300 people, how many will most likely pick vanilla to be the flavor of the month?
Question 4 options:
613
690
600
716
Question 5 (1 point)
Question 4 options:
613
690
600
716
Question 5 (1 point)
Answers
GPT-4o mini
To predict how many out of 2300 people will likely choose vanilla as the flavor of the month based on the survey results, we first need the percentage or proportion of the sampled customers that chose vanilla on those three separate days.
If you have that data (the number of people who chose vanilla out of the 50 sampled each day), you can calculate the average preference. For example, if you found that on average 30% of the sampled customers chose vanilla, you'd use that proportion to predict the bigger sample size.
**Here’s how you can do it step by step:**
1. **Calculate the average percentage of customers who chose vanilla** based on the data from the three days.
Suppose the results were as follows:
- Day 1: 10 customers chose vanilla (20%)
- Day 2: 15 customers chose vanilla (30%)
- Day 3: 25 customers chose vanilla (50%)
To find the average percentage:
\[
\text{Average %} = \frac{20 + 30 + 50}{3} = \frac{100}{3} \approx 33.33\%
\]
2. **Use this percentage to calculate the expected number of people out of 2300:**
\[
\text{Expected number} = \text{Total Sample Size} \times \text{Average %} = 2300 \times 0.3333 \approx 766.67
\]
Since we would round this to the nearest whole number, if the average percentage of vanilla chosen was around 33.33%, the answer would be approximately 767 people.
However, without the specific vote data from the three days, I couldn't provide an accurate answer.
If you have the specifics on how many picked vanilla from each day's samples, please provide those numbers so I can assist you properly!
If none of this data is available, I suggest reviewing the raw vote counts from your survey samples to see which of the options (613, 690, 600, 716) fits best with the average you compute.
If you have that data (the number of people who chose vanilla out of the 50 sampled each day), you can calculate the average preference. For example, if you found that on average 30% of the sampled customers chose vanilla, you'd use that proportion to predict the bigger sample size.
**Here’s how you can do it step by step:**
1. **Calculate the average percentage of customers who chose vanilla** based on the data from the three days.
Suppose the results were as follows:
- Day 1: 10 customers chose vanilla (20%)
- Day 2: 15 customers chose vanilla (30%)
- Day 3: 25 customers chose vanilla (50%)
To find the average percentage:
\[
\text{Average %} = \frac{20 + 30 + 50}{3} = \frac{100}{3} \approx 33.33\%
\]
2. **Use this percentage to calculate the expected number of people out of 2300:**
\[
\text{Expected number} = \text{Total Sample Size} \times \text{Average %} = 2300 \times 0.3333 \approx 766.67
\]
Since we would round this to the nearest whole number, if the average percentage of vanilla chosen was around 33.33%, the answer would be approximately 767 people.
However, without the specific vote data from the three days, I couldn't provide an accurate answer.
If you have the specifics on how many picked vanilla from each day's samples, please provide those numbers so I can assist you properly!
If none of this data is available, I suggest reviewing the raw vote counts from your survey samples to see which of the options (613, 690, 600, 716) fits best with the average you compute.