LONGTEST 1

PAX!

Submit this longtest on August 10, 2013 to Mrs. Moroña.  Show your complete solutions on a long bond paper.  Late papers will not be accepted.

  A naval recruit scores as follows on a series of tests, all of which have a mean of 50 and a standard deviation of 10:

General information                                                      50

Mechanical information                                                56

Clerical ability                                                              64

Spatial visualization                                                      39

Finger dexterity                                                           42

a)      What is the recruit’s average score on this ability test?

b)      What inferences may be made about the recruit from the performance on test battery?

2.       A group of university seniors made the following scores on the Graduate Record Examination:

602                                         580                                         650                                         601

552                                         590                                         402                                         420

460                                         449                                         501                                         486

550                                         512                                         484                                         498

462                                         407                                         544                                         558

542                                         550                                         567                                         594

560                                         575                                         481                                         476

498                                         470                                         422                                         520

Compute the mean and standard deviation for these data.

3.       Below are the scores of two groups of adolescents on a test of spatial relations.

Distribution A                                    Distribution B

                                Scores                                   f                                                              f

                                60 – 63                                  2                                                              1

                                56 – 59                                  12                                                           0

                                52 – 55                                  18                                                           2

                                48 – 51                                  36                                                           4

                                44 – 47                                  38                                                           5

                                40 – 43                                  20                                                           8

                                36 – 39                                  18                                                           10

                                32 – 35                                  10                                                           6

                                28 – 31                                  8                                                              4

                                24 – 27                                  6                                                              4

                                20 – 23                                  4                                                              3

                                16 – 19                                  2                                                              3

                                12 – 15                                  0                                                              2

                                8   - 11                                   0                                                              2

                                4  - 7                                       1                                                              1

                                                                                175                                                         55

a. Make a frequency polygon for each of these on the same axis.

b.  How do you describe each distribution?

4.       A group of 24 seniors in a technical high school achieved the following scores on the DAT Numerical Ability Test:

25                    17                   29                  29                  26                24

27                    33                   23                  14                  21                26

20                    27                   26                  32                  20                32

17                    23                   20                  30                   26                12

A group of 24 seniors taking the college-entrance curriculum in another high school in the samew city obtained these scores on the same test:

21                      26                      28                      31                  14               27

29                      23                      18                      25                   32              23

16                       21                      17                     20                    26               23

7                         18                      29                     32                    24              17

Suppose that you are interested in knowing if the mean of the technical-high-school group is higher than the college-entrance group.  State the appropriate hypothesis and test it statistically.       

5.       Blood pressure for  women is normally distributed with a mean of 120 and a standard deviation of 12.  If a randomly selected group of 49 women who are using a birth control pill have a mean blood pressure of 122.5, use a two-tailed test with alpha at 5% to determine if this sufficient evidence to conclude that the pill affects blood pressure.