You are planning a May camping trip to Denali National Park in Alaska and want to make sure your sleeping bag is warm enough. The average low temperature in the park for May follows a normal distribution with a mean of 32°F and a standard deviation of 8°F. Above what temperature must the sleeping bag be suited such that the temperature will be too cold only 5% of the time?

Question

Quizplus · Accepted Answer

We want to find the temperature that is too cold only 5% of the time. This means we want to find the z-score that corresponds to the 5th percentile of the distribution. Using a standard normal table or calculator, we can find this to be -1.645.

We can use the formula z = (x - mu) / sigma to find the corresponding temperature x. Solving for x, we get:

x = z * sigma + mu
x = -1.645 * 8 + 32
x = 18.84

Thus, the sleeping bag must be suited for temperatures above 18.84°F to ensure that it will be too cold only 5% of the time. Therefore, the answer is C.

You Are Planning a May Camping Trip to Denali National