Question

Starbucks wants to decide whether to introduce their Evenings program which features a thoughtful selection of wine and craft beer alongside the signature coffee and tea beverages at some location. They randomly selected 30 customers at the location to rate their Evenings program. The rating is on a scale of 1 to 5, with 1 being ‘not interested’ and 5 being ‘strongly interested’. The result of the survey shows that the average rating is 4.0 with a standard deviation of 1.5. Starbucks will approve the Evenings program at the location if the true mean rating is over 3.5.

What is the Null hypothesis for testing whether the new ice cream taste should be mass produced?

Answer 1

The null hypothesis is:
`H_0:\mu>3.5`

Explanation:

Consider the provided information.

The result of the survey shows that the average rating is 4.0 with a standard deviation of 1.5. Starbucks will approve the Evenings program at the location if the true mean rating is over 3.5.

The null hypothesis tells the population parameter is equal to the claimed value.

If there is no statistical significance in the test then it is know as the null which is denoted by
`H_0`, otherwise it is known as alternative hypothesis which denoted by
`H_a`.

Consider the statement:

Test to see whether the true mean rating is over 3.5.

The null hypothesis is:
`H_0:\mu>3.5`