Question

The scores on the verbal section of a certain graduate school entrance exam have a mean of 147 and a standard deviation of 8.8

Scores on the quantitative section of the exam have a mean of 151 and a standard deviation of 9.4.

Assume the scores are normally distributed.Suppose a graduate school requires that applicants score at or above the 80th percentile on both exams. What verbal and quantitative scores are​ required?

Click the icon to view the table of standard scores and percentiles.

The verbal score required by the graduate school is ________.

​(Round to the nearest whole number as​ needed.)

The quantitative score required by the graduate school is ________.

​(Round to the nearest whole number as​ needed.)

Standard Scores and Percentiles
​z-score	Percentile	​z-score	Percentile	​z-score	Percentile	​z-score	Percentile
minus−3.5	00.02	minus−1.00	15.87	0.00	50.00	1.1	86.43
minus−3.0	00.13	minus−0.95	17.11	0.05	51.99	1.2	88.49
minus−2.9	00.19	minus−0.90	18.41	0.10	53.98	1.3	90.32
minus−2.8	00.26	minus−0.85	19.77	0.15	55.96	1.4	91.92
minus−2.7	00.35	minus−0.80	21.19	0.20	57.93	1.5	93.32
minus−2.6	00.47	minus−0.75	22.66	0.25	59.87	1.6	94.52
minus−2.5	00.62	minus−0.70	24.20	0.30	61.79	1.7	95.54
minus−2.4	00.82	minus−0.65	25.78	0.35	63.68	1.8	96.41
minus−2.3	01.07	minus−0.60	27.43	0.40	65.54	1.9	97.13
minus−2.2	01.39	minus−0.55	29.12	0.45	67.36	2.0	97.72
minus−2.1	01.79	minus−0.50	30.85	0.50	69.15	2.1	98.21
minus−2.0	02.28	minus−0.45	32.64	0.55	70.88	2.2	98.61
minus−1.9	02.87	minus−0.40	34.46	0.60	72.57	2.3	98.93
minus−1.8	03.59	minus−0.35	36.32	0.65	74.22	2.4	99.18
minus−1.7	04.46	minus−0.30	38.21	0.70	75.80	2.5	99.38
minus−1.6	05.48	minus−0.25	40.13	0.75	77.34	2.6	99.53
minus−1.5	06.68	minus−0.20	42.07	0.80	78.81	2.7	99.65
minus−1.4	08.08	minus−0.15	44.04	0.85	80.23	2.8	99.74
minus−1.3	09.68	minus−0.10	46.02	0.90	81.59	2.9	99.81
minus−1.2	11.51	minus−0.05	48.01	0.95	82.89	3.0	99.87
minus−1.1	13.57	minus−0.00	50.00	1.00	84.13	3.5	99.98

2.

Use the table to find the standard score and percentile of the following data values.

a. A data value

2.62.6

standard deviations below the mean.b. A data value 33 standard deviations below the mean.c. A data value 0.2 standard deviation above the mean.

Click the icon to view the standard scores and percentiles for a normal distribution.

a. The standard score is __________,and the percentile is _______.(Type integers or​ decimals.)

b. The standard score is ______ and the percentile is ________.​(Type integers or​ decimals.)

c. The standard score is ________​,and the percentile is _______.​(Type integers or​ decimals.)

Answer 1