Question

Descriptive analysis revealed that the mean Test 1 score of all statistics students was 71.23, with a standard deviation of 19.04. Furthermore, assume that the distribution of all students' Test 3 scores is normally distributed.

Determine the z-score that corresponds to Test 3 score of 83. Round the solution to two decimal places.

z=

Determine the following probabilities. Round all probability solutions to four decimal places.

Determine the probability that a randomly selected student scored exactly a 59 on Test 1.

P(x=59)=

Determine the probability that a randomly selected student scored a 88 or less on Test 1.

P(x≤88)=

Determine the probability that a randomly selected student scored a 88 or greater on Test 1.

P(x≥88)=

Determine the Test 1 score that corresponds to a z-score of z=−1.42. Round the solution to the nearest whole number.

Score=

Determine the 78th percentile of the Test 1 scores. That is, find the Test 1 score such that 78% of all Test 1 scores lie below it. Round the solution to the nearest whole number.

P78=

Answer 1