Final answer:
To find z0.055, calculate the z-value with an area to the left of 0.945 on the standard normal distribution. Use a z-table or input invNorm(0.945,0,1) into a graphing calculator. The approximate value of z0.055 to two decimal places is 1.645.
Step-by-step explanation:
To find z0.055, you want to determine the z-value such that the area to the right of it accounts for 5.5% of the total area under the normal curve. This means the area to the left of z0.055 is 0.945 (1 - 0.055). You can find this z-value using a z-table, calculator, or computer software that provides standard normal distribution values.
Using a table, you would look for the value closest to 0.945 in the body of the table and find the corresponding z-value on the margins. However, since most modern students use technology, you would typically input the command invNorm(0.945,0,1) into a graphing calculator or statistical software to find the exact value. According to standard normal distribution tables or using technological tools, z0.055 is approximately 1.645 when rounded to two decimal places.
For problems where accurate rounding is required, always pay attention to the significant figures. For example, when the calculator answer is 2,085.5688 and you need to round it to five significant figures, look at the first digit to be dropped which is in the tenths place. If this digit is greater than five, you round up. Hence, the rounded answer is 2,085.6.