A population of values has a normal distribution with µ = 166.1 and σ = 54. You intend to draw a random ample of size n = 26. Find the probability that a sample of size n = 26 is randomly selected with a mean between 133.3 and 155.5. (133.3 < < 155.5) - Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- cores rounded to 3 decimal places are accepted.

The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.3 minutes. 9 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. The top 15% of all 9 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes

A population of values has a normal distribution with �=154.2 and �=94.9. A random sample of size �=193 is drawn. Find the probability that a sample of size �=193 is randomly selected with a mean less than 146. Round your answer to four decimal places.

The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation 8.39min. Find the probability that the mean cycling time taken by a random sample of 38 competitors is greater than 25 minutes. Give your answer in 3 decimal places.

The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 44 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. The top 15% of all 44 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round?

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 226-cm and a standard deviation of 1.1-cm. For shipment, 28 steel rods are bundled together.Find P58, which is the average length separating the smallest 58% bundles from the largest 42% bundles.P58 = -cmEnter your answer as a number accurate to 2 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

The chart to the right shows that a professor's grading distribution is bell shaped, or normally shaped. The mean of the distribution is 74 and the standard deviation is 9. Using a Continuous Variable Normal Bell Distribution Model, calculate the minimum test score needed to score in the top 5% of the class. Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems # 17, 21 and 23. Relative Frequency Frequency Professor looks at all test score for a particular test (this is population data), and observes: 0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 Mean = 74 Median = 74 Mode = 73 SD=9 0 0 0 up to 10 up 10 to 20 0 20 up to 30 0 30 up to 40 2 40 up to 50 29 50 up to 60 X = Score 112 60 up to 70 225 70 up to 80 111 80 up to 90 21 2 90 up 100 up to 100 to 110

A population of values has a mean of 59.6 and standard deviation of 35.4. Find the probability that a sample of 58 values from this population will have a mean between 52.6 and 63.8.Enter your answers as numbers accurate to 4 decimal places.

Determine the probability of seeing a Z score of 2.699 or one with a larger absolute value.

A random sample of 18 light bulbs is drawn from a normally distributed population. The population has mean and standard deviation are 517 hours and 39 hours, respectively. What is the mean of the sampling distribution the sample mean?