Question

Use for questions 1-6: To estimate the average amount that U.S. households donated to charity last year, a random sample of 2500 U.S. households were surveyed. Among the households in the sample, the mean amount donated to charity was $2987 with a standard deviation of $1017. 2. In 2010, the average U.S. household donated $3010 to charity. What is the alternative hypotheses that you will use to determine if the sample gives strong evidence that the average amount donated to charity among all U.S. households last year was different than in 2010. mu not equal to 3010 mu greater than 2987 mu equals 2987 mu equals 3010

Answer 1

Let be the true average amount that U.S households donated to charity last year .

In 2010 the average donated amount was $ 3010

Here we want to test whether  is different than $ 3010

For this testing our Hypotheses will be

Null hypothesis : is not different than $ 3010

Alternative Hypothesis: is different than $3010

vs  

So correct option is

mu not equal to 3010