Question

For each of the following indicate whether the data is (a)categorical nominal, (b) categorical ordinal, c) numerical discrete, or (d) numerical continuous scale. 1) lifetime of a car battery 2) country of origin 3) number of students in a finance club 4) student standing (freshman, Junior, etc...) 5) A census of all CUNY students is taken and an average GPA is recorded, denote it GPA1. Then a simple random sample of 1200 CUNY students was randomly selected and its GPA is recorded, denote it GPA2. Then (a) GPA1 is a proportion approximating parameter GPA2 (b) GPA2 is population average approximating sample parameter GPA1 (C) GPA2 is a population approximating sample GPA1 (d) GPA2 is a statistic approximating parameter GPA1(e) GPA1 is a statistic approximating parameter GPAZ Consider a distribution of heights of women in a class, which is approximately normal (bell- shaped). Assume they have been converted to a z scores. 6) What is the percentage of 2-scores outside of -2 to 2: (a) 97.5% (b) 2.5% (c) 95% (d) 68% (e)5% ? 7) If your 2-score is 1.645 what is the percentage of women whose height is above your value? (a) 95% (b) 5% (C) 2.5% (d) 97.5% (e) 68%? Unit sales for a selection of stores are: 12, 14, 21,4,7,9, 20, 8, 7,3 8) Which are the correct formulas for the sample mean and sample standard deviation? (a) 2a and 4c (b) 2a and 2b (c) la and 3a (d) 1a and 2b (e) 4b and 2b 9) Calculate mean and standard deviation, (a) 6.2, 10.5 (b) 10.5,6.2 (c) 8.5, 6.2 (d) 10.5, 38.5 (e) 8.5, 7 10) What are the z-scores of Q1 and Q3: (a)-0.24, 0.68 (b) -0.24, 0.89 (C) -0.56, 0.56 (d) - 1.645, 1.96 (e)-1.28, 1.645 11) Calculate variance and the coefficient of variation (CV). (a) 38.5, 59.09 (b) 6.2, 169.22 (C) 31.57, 101.53 (d) 72.25, 67.96 (e) 17.15,72.09 12) Calculate Q1, median, Q3: (a) 4.9, 6.8, 15.4 (b) 5.6, 7.65, 15.4 (C) 6.3, 8.5, 16.8 (C) 5.6, 8.5, 15.4 (d) 10.5, 8.5, 6.2 (e) 7, 8.5, 14 13) Calculate IQR and range: (a) 10.5, 18 (b) 14, 38.5 (c)18, 6.2 (d) 7,18 (e) 18,7 E E EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE Consider the following data for the patients taking the drug (Ascorbic Acid).

Answer 1

SOLUTION 1:LIFE TIME OF A CAR BATTERY= NUMERICAL CONTINUOUS

EXPLANATION: BECAUSE IT IS NUMERICAL AND IT IS NOT FIXED. FOR EXAMPLE: The life expectancy of car battery is generally between six to eight years.

SOLUTION 2: COUNTRY OF ORIGIN:CATEGORICAL NOMINAL

Explanation: Countries are categories and counties name are nominal it means they are just name.

SOLUTION 3: NUMBER OF STUDENTS IN FINANCE CLUB: NUMERICAL DISCRETE

Explanation: It is obvious number of students are numerical and they are finite and countable so they are numerical discrete variable.

SOLUTION 4: STUDENTS STANDING :CATEGORICAL; ORDINAL

Explanation: Freshman, junior,sophomore and senior are categories but they are following order or rank so they are ordinal variable.

SOLUTION 5: GPA 2 IS STATISTIC APPROXIMATING PARAMETER GPA 1 OPTION D

EXPLANATION: According to question GPA of a CENSUS ( whole population) recorded and and denoted it as GPA1 so it is parameter because it is function of population . After taking sample of 1200 students GPA recorded and denoted as GPA 2 is a statistic because it is function of Sample values. Statistic use to approximate Parameter .

SOLUTION 6: As we know data within 95% of data set are within two standard deviation. So outside of -2 and 2 is 1-0.95=0.05= 5% OPTION E

Solution 7: $P(Z\leq 1.645)=0.95$

so =5% OPTION B

PLEASE NOTE: As per the guidelines I have done the first part please re post the rest. Thank You.