(QUESTION EIGHT.) Can I have help with this, please?

In 1950, the population variance of the age of a rural Cambodian woman at the time of her rst marriage was 0'2 = 5.3. Suppose a recent study of age at rst marriage for a random sample of 51 women in rural Cambodia gave the sample variance 52 = 3.1 Use the 0.05 level of significance to test the claim that the current population variance is less than 5. 3.Assume that the population of age at which the rst marriage occurred is normally distributed. a. [1+1+o.5=2.5 point] State the null and alternative hypotheses. Which tailed test is it ? Null H nothesis Alternate H othesis Which test is it ? b. [2 points] Calculate the test statistic. c. [3+1.5=4.5 points] Find the interval that contains the pvalue. Show the area corresponding to P value. Compute the P value interval here. Show the area corresponding to the P value here. d. [2. points] Conclude your test. e. [1 point] Interpret your conclusion