Question

152

A researcher working for the Ray-Ban Corporation decides to perform a hypothesis test to investigate whether there is a significant positive correlation between monthly temperature and number of sunglasses sold at one of their locations. The researcher randomly selected the following sample from this location. Monthly Temperature (°F) Number of Sunglasses Sold 80 91 61 34 56 66 99 72 71 74 95 125 43 65 (TEMP SUMS: 2x = 505; E x2 = 38,973) (NBR SUMS: 2 x = 527; E x2 = 44,303) The alternative hypothesis for this hypothesis test is:

Answer 1

Here we are testing whether there is a significant positive correlation between monthly temperature and number of sunglasses sold.

Null hypothesis

$H_0: \rho = 0$

Alternative is

$H_1: \rho > 0$

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