answer please

The total precipitation in Normal City in January is approximately normally distributed with a mean of 3.2 inches, and a variance of 0.53. A researcher claims that the variance, 0'2, of the total March precipitation in recent years is less than 0.53. A random sample of 23 precipitation measurements from the last three decades is considered and the mean of these measurements is found to be 3.2 with a variance of 0.39. Is there enough evidence to support the researcher's claim at the 0.1 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specied below. (If necessary, consult a \"it of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. H0 : I] H1:|:| (b) Determine the type of test statistic to use. (Choose one) 7 (C) Find the value of the test statistic. (Round to three or more decimal places.) I] (d) Find the critical value. (Round to three or more decimal places.) I] (9) Can we support the claim that the variance of the total March precipitation in recent years is less than 0.53? OYes O No