To calculate the z-score for the data value $2.899 on May 15, we can use the formula:
z = (x - μ) / σ
where x is the data value, μ is the mean, and σ is the standard deviation.
First, let's calculate the mean and standard deviation for the May 15 data:
Mean (μ) = (2.799 + 2.739 + 2.699 + 2.759 + 2.689 + 2.749 + 2.719 + 2.799 + 2.819 + 2.779) / 10 = 2.761
Standard Deviation (σ) = √[((2.799-2.761)² + (2.739-2.761)² + ... + (2.779-2.761)²) / 10] ≈ 0.033
Now, let's calculate the z-score for $2.899 on May 15:
z = (2.899 - 2.761) / 0.033 ≈ 4.18
Rounding the z-score to two decimal places, the z-score for $2.899 on May 15 is approximately 4.18.
You can follow the same steps to calculate the z-score for November 15 using the provided data.
