Choppies Supermarket believes that customers on average spend three quarters of an hour in their stores. The consumer watchdog wants to verify this claim. To do this they observe the entry and departure times of 86 randomly selected customers from West Gate Choppies. The sample average time in the store was 44 minutes. Assume a population standard deviation of 10.5 minutes and that shopping time is approximately normally distributed.

Formulate the null and alternative hypotheses for this test scenario. [2]

Test the validity of the supermarkets belief by conducting a hypothesis test using =0.05. Conclude your observations. [4]

Test the validity of the supermarkets belief by conducting a hypothesis test using =0.01. Conclude your observations [4]