According to a local realtor's website, the mean monthly rent for an apartment in sunray county is $500 with a variance of 9104. several mid-priced apartment complexes were recently built in the area. due to this, you hypothesize that the variance, σ², is now lower than 9104. you test this by taking a random sample of 15 apartments for rent in the area. the apartments in the sample have a mean monthly rent of $509 and a variance of 3225. assuming that monthly rents in this area are approximately normally distributed, may you conclude, at the 0.10 level of significance, that your hypothesis is correct. State the null hypothesis H₀ and the alternativr hypothesis H₁