Test at the 5% level on the proportion that will certainly buy solar PV over the net …


When planning the sale of small solar cell to private customers want a more detailed analysis of potential customers.

We have selected 200 randomly selected family homes that do not have a solar power already. They were asked about various things, including the age of the oldest in the household, and interest in buying solar installations over the network, if the price is bit stringent than if you buy from a dealer.

Results are shown in Table 2

Table 2: interest in buying solar over the net by age.


Interest/ Age

Under 30 years

31-45 years

Over 45 years


May be




Task 4.1

Test at the 5% level whether there is a correlation between age and interest. Add a comment to further your result.

Management is confident that it should start a dedicated effort for the age group over 45 years, when one considers that this group of greatest interest to purchase. We also believe that if you convince this group, there is a high probability that they prefer the other age groups. Management wishes, however, the following analysis to substantiate their beliefs:

Task 4.2

Test at the 5% level on the proportion that will certainly buy solar PV over the net for the age group over 45 years, is larger than the group who is 45 years or under.

Exercise 4.3

What information besides the conclusions of the analyzes in questions 4.1 and 4.2, would you recommend that management procures to be able to decide whether GF should focus on those aged over 45 years.

Regardless of your recommendations in question 4.3, the management decided to launch initiatives aimed at those aged over 45 who “definitely” interested in buying solar over the net.

Table 3 shows the annual salary for the 25 aged over 45 years who “definitely” will buy.

Table 3: Annual earnings for those aged over 45 who “definitely” will buy solar installations over the network (in 1000 DKK)































Task 4.4

Check if your annual salary can be described by a normal distribution

Task 4.5

Test at the 5% level for you in the further analysis may assume that the variance is 2500 for annual earnings.

Task 4.6

Based on your conclusion in question 4.5 please test whether the average annual salary is more than 370 thousand kroner for those aged over 45 who “definitely” interested in buying solar over the net.

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