Reference no: EM132344069
Consider each of the following variables. For each one, state whether it is quantitative or qualitative. State whether the quantitative ones are continuous or discrete.
State what type of scale the continuous ones are measured on. State whether the qualitative ones are nominal or ordinal.
(i) The weight of a baby at birth, given in kilograms.
(ii) Answers to the question What country were you born in?"
(iii) For each day of the year, the difference between the maximum outside temperature recorded at mount Atlas and the minumum outside temperature recorded at mount Atlas, given in degrees Celsius.
(iv) For each member of the English national football team, their total number of appearances at the Africa Cup of Nations.
(b) An industry survey of people in sales management positions gave the number of years of experience in sales related positions as shown below.
Males Females
Sample size 80 70
Mean years 21.7 18.5
Standard deviation years 9.3 4.8
(i) Construct a 95% confidence interval for the difference of population means.
(ii) Perform a test to determine if the mean number of years for males in sales related positions is more than one year larger than that of females?
(c) The promoter of a touring dance show wishes to analyse how the price per ticket affects the size of its audiences. She tests two prices, $140 and $160, over 10 shows each which give rise to the following attendances.
Price
$140 120 115 130 127 124 110 121 129 118 122
$160 111 107 101 115 111 105 99 104 110 98
(i) Calculate the mean and standard deviation of the attendance for each sample.
(ii) Perform a statistical test to determine whether the variances of the attendance are equal under the two prices.
(iii) Perform a t-test to determine whether the mean attendance is the same under the two prices.
(iv) Calculate a 95% confidence interval for the difference between the mean show revenue under each price.
(v) Without doing any further calculations, comment on which price the promoter should choose.