Calculate the probability that a randomly selected z-score is less than 1.56. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Calculate the probability that a randomly selected z-score is greater than 2.38. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Calculate the probability that a randomly selected z-score is less than -0.76. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Calculate the probability that a randomly selected z-score is greater than -1.11. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Calculate the probability that a randomly selected z-score is between 1.34 and 2.18. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Calculate the probability that a randomly selected z-score is between -2.00 and 2.00. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Calculate the probability that a randomly selected z-score is equal to -0.59. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

Find the z-score of the 75th percentile. (Round to the nearest hundredth.)

Find the z-score less than 90.5% of z-scores. (Round to the nearest hundredth.)

Tall Club International has a requirement that women must be at least 70 inches tall. Given that women have normally distributed heights with a mean of 63.7 inches and a standard deviation of 2.9 inches, find the percentage of women who satisfy that height requirement. (Express your answer as a decimal rounded to the nearest ten-thousandth.)

When designing aircraft cabins, what ceiling height will allow 95% of men to stand without bumping their heads? Men’s heights are normally distributed with a mean of 68.6 inches and a standard deviation of 2.8 inches. (Round to the nearest thousandth.)

STATDISK has the ability to calculate the cumulative area from the left under the standard normal distribution when supplied a z-score value. This function is equivalent to using Table 1 and Table 2; however, the STATDISK function has the ability to supply additional area values not present on the table. The next questions are designed to introduce you to these functions within STATDISK. For more information, please review the following tutorial. Always feel free to pause and/or restart the video. What is the cumulative area from the left under the standard normal distribution to the z-score of 1.3546? (Round to the nearest ten-thousandth.)

What is the cumulative area from the right under the standard normal distribution to the z-score of -0.3966? (Round to the nearest ten-thousandth.)

STATDISK also has the ability to calculate the z-score when supplied the cumulative area from the left under the standard normal distribution. This function is equivalent to using Table 1 and Table 2; however, the STATDISK function has the ability to supply additional critical z-scores not present on the table. The next questions are designed to introduce you to these functions within STATDISK. For more information, please review the following tutorial. Always feel free to pause and/or restart the video. What is the z-score corresponding to the cumulative area from the left under the standard normal distribution of 0.8799? (Round to the nearest ten-thousandth.)

What is the z-score corresponding to the cummulative area from the right under the standard normal distribution of 0.3288? (Round to the nearest ten-thousandth.)