It is believed that the average amount of money spent per u. s. household per week on food is about $98, with standard deviation $10. a random sample of 100 households in a certain affluent community yields a mean weekly food budget of $100. we want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. are the results significant at the 5% level?

yes, we can reject the hypothesis

Step-by-step explanation:

The null hypothesis  

H0 = mean weekly food budget for all households in this community is $98

Let´s find z

z= (x – mean) / standard deviation / √sample size

z = (100 – 98) / 10 / √100

z = 2

Using  a Z table we can find probability  

P (z>2) = 0.0228

Since P < α , results are significant and we can reject the hypothesis

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: