Step-by-step explanations,please!

The following is the distribution of X , the readings obtained with a Geiger counter of the number of particles emitted by a radioactive substance in 100 successive 40second intervals: Number of particles Frequency 5 14 11 1519 37 2024 36 25-29 13 3039 3 (a) It was postulated that the random variable X follows a normal distribution with population mean ,u = 20 and variance 02 = 25. Carry out an appro- priate test for the null hypothesis that X follows a N (,u 2 20,02 : 25) distribution at the 0.05 level of signicance. State the null and alternative hypotheses, the name of the test7 the test statistic, the rejection region and your conclusion clearly