Question

Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C, randomly selected and tested. find the probability of getting between .25 and 1.00

Answer 1

To find the probability that a sample mean is between 85 and 92, you need to convert the sample mean to a z-score, find the probabilities corresponding to each z-score, and subtract the lower probability from the higher probability.

Step-by-step explanation:

To find the probability that a sample mean is between 85 and 92, we need to use the standard normal distribution. First, we convert the sample mean to a z-score using the formula:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Next, we use the standard normal table or a calculator to find the probability corresponding to each z-score. Finally, we subtract the probability corresponding to the lower z-score from the probability corresponding to the higher z-score to find the desired probability.