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Squidward's Symphony

Squidward loves playing his clarinet and believes it attracts more jellyfish than any other instrument he has played. In order to test his hypothesis, Squidward played a song on his clarinet for a total of 5 minutes and counted the number of jellyfish he saw in his front yard. He played the song a total of 3 times on his clarinet and repeated the experiment using a flute and a guitar. He also recorded the number of jellyfish he observed when he was not playing an instrument. The results are shown in the chart.

Number of Jellyfish/Instrument

\begin{tabular}{|c|c|c|c|c|}
\hline
Trial & No Music & Clarinet & Flute & Guitar \\
\hline
1 & 5 & 15 & 5 & 12 \\
\hline
2 & 3 & 10 & 8 & 18 \\
\hline
3 & 2 & 12 & 9 & 7 \\
\hline
\end{tabular}


Sagot :

Alright, let's work through the problem step by step.

### Step 1: Record the Observations
From the table provided we have:

- No Music: Number of jellyfish observed: 5, 3, 2
- Clarinet: Number of jellyfish observed: 15, 10, 12
- Flute: Number of jellyfish observed: 5, 8, 9
- Guitar: Number of jellyfish observed: 12, 18, 7

### Step 2: Calculate the Total Number of Jellyfish for Each Condition

For each condition, we sum up the number of jellyfish observed during the three trials.

- No Music Total:
[tex]\( 5 + 3 + 2 = 10 \)[/tex]

- Clarinet Total:
[tex]\( 15 + 10 + 12 = 37 \)[/tex]

- Flute Total:
[tex]\( 5 + 8 + 9 = 22 \)[/tex]

- Guitar Total:
[tex]\( 12 + 18 + 7 = 37 \)[/tex]

### Step 3: Calculate the Average Number of Jellyfish for Each Condition

For each condition, we divide the total number by the number of trials (3).

- No Music Average:
[tex]\( \frac{10}{3} \approx 3.33 \)[/tex]

- Clarinet Average:
[tex]\( \frac{37}{3} \approx 12.33 \)[/tex]

- Flute Average:
[tex]\( \frac{22}{3} \approx 7.33 \)[/tex]

- Guitar Average:
[tex]\( \frac{37}{3} \approx 12.33 \)[/tex]

### Summary of Results:
- Total number of jellyfish observed without music: 10
- Average number of jellyfish observed without music: 3.33

- Total number of jellyfish observed with clarinet: 37
- Average number of jellyfish observed with clarinet: 12.33

- Total number of jellyfish observed with flute: 22
- Average number of jellyfish observed with flute: 7.33

- Total number of jellyfish observed with guitar: 37
- Average number of jellyfish observed with guitar: 12.33

These observations support Squidward's hypothesis that playing the clarinet attracts more jellyfish compared to not playing any music and playing the flute. Interestingly, playing the guitar also attracts a similar number of jellyfish as the clarinet.