Reference no: EM13241462

Question 1:

The table below gives two samples selected from 10 supermarkets of the weekly sales of a popular soft drink. The first sample gives the details for a normal shelf display of the product, while the second sample gives the details for an end-aisle shelf display. Assuming equal variances, establish, at the 5% level of significance, whether there is a statistically significant difference in the mean weekly sales for the two display locations.

Normal display	End-Aisle Display
22	52
34	71
52	76
62	54
30	67
40	83
64	66
84	90
56	77
59	84

Question 2

The table below gives the quarterly enrollment in a major American business college for the period 2007-2010.

Year	Winter	Spring	Summer	Autumn
2007	2033	1871	714	2318
2008	2174	2069	840	2413
2009	2370	2254	927	2704
2010	2625	2478	1136	30

1 Draw to scale a time series graph representing the above data.

2 Using the ratio-to-moving-average method, determine the quarterly seasonal indices.

3 Interpret the quarterly pattern of enrolment.

4 Compute the trend equation. (6) 4.5 Forecast the 2011 enrolment by quarter.