Babies: A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is greater than 3 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the o= 0.01 level of significance. Part: 0 / 5 Part 1 of 5 State the appropriate null and alternate hypotheses. Hy 10 (choose ne) v][ 0 ( ) '_' X S H,| :6|(Choose one) l This hypothesis test is a |(Choose one) V | test. Part 2 of 5 Find the critical value. Round the answer to three decimal places. For .= 0.01, the critical value is ' ' > S Part: 2 / 5 (N Part 3 of 5 Compute the test statistic. Round the answer to three decimal places. X S Part 4 of 5 Determine whether to reject /|, . At the 0.= 0.01 level, | (Choose one) |the null hypothesis H,, . ( ) Part: 4 / 5 Part 5 of 5 State a conclusion. There | (Choose one) V |enough evidence to conclude that the population standard deviation of the weights of one-year-old girls is greater than 3 pounds