You can use standard normal distribution table

Solved Step by Step With Explanation-Calculating Probability with Z-Score

Questions

Solved Step by Step With Explanation-Calculating Probability with Z-Score

Answer.

• We want to find P(xˉ<5.70), which is the probability that the mean amount spent on Valentine's gifts for pets in a random sample of 37 pet owners is less than $5.70.

Step 1: Calculate the z-score The z-score formula is:

• σ (sigma) is the population standard deviation.

• n is the sample size.

• (n = 37

Now, calculate the z-score:

So, the calculated z-score is approximately 3.11.

Step 2: Find the probability using the z-score We want to find P(xˉ<5.70), which is equivalent to finding P(Z<3.11), where Z follows a standard normal distribution (mean = 0, standard deviation = 1).

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