Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The final exam grade of a statistics class has a skewed distribution with mean of 79 and standard deviation of 8.2. If a random sample of 35 students selected from this class, then what is the probability that average final exam grade of this sample is between 76 and 82

Sagot :

fichoh

Answer:

0.9696

Step-by-step explanation:

Given that:

Mean, m = 79

Standard deviation, s = 8.2

Sample size, n = 35

Probability that final exam grade of the sample is between 76 and 82

P(76 < x < 82)

P(x < 82) - P(x < 76)

Using the relation :

Z = (x - m) / (s/sqrt(n))

s / sqrt(n) = 8.2/sqrt(35) = 1.3860529

P(x < 82) - P(x < 76)

P[(82 - 79) / 1.3860529] - P[(76 - 79) / 1.3860529]

P(Z < 2.1644) - P(Z < - 2.1644)

Using the Z probability calculator :

0.98478 - 0.015217

= 0.969563

Hence, probability = 0.9696

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.