Introductory statistics UE Past Papers Questions.

The ACME Company claims that their suitcases's average weight is 8 pounds. The Bell company thinks that ACME is lying and that ACME`S suitcases are heavier. Bell takes a random sample of 40 ACME suitcases and finds the average weight to be 9.3 pounds with a standard deviationof 3 pounds. Is there evidence to support Bell's claim at =0.01 ?, Justify.

Answer / Solution

UNSOLVED

Classify the variables as either categorical or numerical in each of the following, and if the variable is numerical classify it as either continuous or discrete.

1. A person`s height
2. An individual political affiliation
3. The number of rainy days in July
4. The number of gallons of fuel used to travel from Morogoro to DSM
5. A shoe size
6. An opinion to the question “Is the president of the United Republic of Congo doing good job?”

Answer / Solution

UNSOLVED

Identify the appropriate average to be used in each of the following cases

1. The size of shoes sold out in largest number from a shop
2. Average sales of various years
3. Estimation of intelligence of students in a class
4. Average rate of growth of population by decade
5. Average change in the cost of living of workers

Answer / Solution

UNSOLVED

An operator of a fleet of trucks purchases 100 tires(50 of Brand A and 50 of Brand B) at the same price. Under substantially similarity driving conditions, he gets the following results, the mean and standard deviation of tire Brand A were 16,000 miles and 4,000 miles respectively, for tire Brand B the mean and standard deviation were 20,000 miles and 8,000 miles respectively. Which brand you would advise him to buy in the future and why?

Answer / Solution

UNSOLVED

The values of two measures of central tendency are given bellow for three distributions . For each distribution  estimate whether it is approximately symmetrical, negative skewed or positive skewed. Assume each distribution is unimodal.

1. Mode=50, =58
2. Median=71.4, =71.4
3. Median=104,=796

Answer / Solution

UNSOLVED