Find the area under the standard normal curve between z = 0.7 and z = 2.15, P(0.7 < z < 2.15). (Give your answer correct to four decimal places.)
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To find the area under the standard normal curve between z = 0.7 and z = 2.15, we can use a table or a statistical calculator with the standard normal distribution function.
Using a standard normal distribution table, find the area to the left of z = 0.7 and z = 2.15.
For z = 0.7, the area to the left can be found in the table as 0.7580 (rounded to four decimal places).
For z = 2.15, the area to the left can be found in the table as 0.9857 (rounded to four decimal places).
Next, subtract the two areas to find the area between these two Z-scores:
0.9857 - 0.7580 = 0.2277 (rounded to four decimal places)
Therefore, the area under the standard normal curve between z = 0.7 and z = 2.15, P(0.7 < z < 2.15), is 0.2277.