5. If X is Normally distributed, and the area to the left of X is 0.012 , then what is the area to the right of x?

1. Determine each of the following areas and show these graphically. Use probability notation in your final answer.          a. Find the greater than z = 1          b. Find the area between z = -1.32  and z = 2.37

For at distribution with 16 degrees of freedom, find the area, or probability, in each region. a. To the right of 2.120 0.025 b. To the left of 1.337 (to 3 decimals) .100 c. To the left of -1.746 (to 2 decimals) (to 2 decimals) d. To the right of 2.583 (to 2 decimals) e. Between -2.120 and 2.120 * (to 2 decimals) f. Between -1.746 and 1.746 (to 2 decimals)

Find the z-score if the area to the right of z is .3523 and area to the left of –z is 0.3342.

. A research report from an independent-measures studystates that there are significant differences betweentreatments, F(2, 36) = 3.45, p < .05.a. How many treatment conditions were compared inthe study?b. What was the total number of participants in thestudy?

5.3.29 Find the z-scores for which 40% of the distribution's area lies between -z and z. Click to view page 1 of the table. Click to view page 2 of the table. The z-scores are (Use a comma to separate answers as needed. Round to two decimal places as needed ) nter your answer in the answer box and then click Check Answer.

P(Z is between -1.20 and 1.15) = ✓ [Select] 0.7599 0.98257 0.1157 0.5833

4. Find the area under the t- distrihution from t = -2.228 to t = 2.228 when n = 11. A. 0.90 C. 0,975 B. 0.95 D. 0.995 5. Identify the percentile rank of the t- distribution when t = 1.699 and df = 29. A. 90th B. 95th D. 99.5th C. 97.5th 6. Which of the following is true about the t- distibution? A. A t-distribution is composed of bell-shaped curves. Each curve represents a degree of freedom. B. As the sample size decreases, the t-distribution approaches the standard normal distribution. C. Ihe population is not nomally distributed. D. The distribution at the left of the mean is not the same as the distribution at the right of the mean. 7. This table shows the probabilities/areas of the t- distribution for different degrees of freedom. This is used to find the critical values of t. A. c- table C. t- table B. d – table D. z - table 8. What are the critical values of i when n = 25 an the confidence level = 90% in two tails? A. ±2.064 B. ±1.708

Suppose the lengths of human pregnancies are normally distributed with µ = 266 days and o= 16 days. Complete parts (a) and (b) below. (Type integers or decimals.) A. The proportion of human pregnancies that last less than B. The proportion of human pregnancies that last more than days is days is Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts less than B. The probability that a randomly selected human pregnancy lasts more than (b) The figure to the right represents the normal curve with µ = 266 days and o = 16 days. The area between x = 280 and x = 295 is 0.1558. Provide two interpretations of this area. days is days is Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or…

A. Assuming n = 30, find the t scores that enclose: the middlemost 90% of the area under the curve the middlemost 95% of the area under the curve the middlemost 99% of the area under the curve B =. Repeat # A but this time assume n = 70.