Question

State the appropriate null and alternative hypotheses in each scenario given below.

a)A brick-and-mortar retail store wants to see whether increasing their social media presence increases the number of monthly customers entering their store. Historically, the store observed an average of 1287.7 customers per month, and several years after increasing their social media presence a random sample of 12 months had an average of 1221.4 customers per month. Is there evidence that the mean number of customers increased?

b)A coffee company is trying to optimize the way they roast their coffee beans. Previous survey resultsfound that customers gave the flavor of their coffee (on a scale of 1 to 10) and average of 7.1. The company tries a new combination of roasting temperature and time, and a random sample of 75 customers gave the flavor an average of 6.1. Is there evidence that the mean flavor rating for this newcombination is different?

Answer 1

State the appropriate null and alternative hypotheses in each scenario given below.

a)

Given:

= 1287.7 Customers, sample size (n) = 12 months, sample mean () = 1221.4 Customers

Hypothesis:

Ho: = 1287.7 Customers Or There is Not sufficient evidence that the mean number of customers increased?

Ha: > 1287.7 Customers Or There is sufficient evidence that the mean number of customers increased?

b)

Given:

= 7.1, sample size (n) = 75 Customers, sample mean () = 6.1

Hypothesis:

Ho: = 7.1, Or There is Not sufficient evidence that the mean flavor rating for this newcombination is different?

Ha: 7.1 Or There is sufficient evidence that the mean flavor rating for this newcombination is different?