2. A researcher is interested in testing the claim that a pain medication reduces pain on average in less than 19 minutes after taking the dosage. To test this claim, the researcher collects the following data on a sample of 34 patients who took the pain medication and recorded the time for the medication to take effect. The researcher finds that the sample mean is 18.31 minutes. From past data, it is known that the population standard deviation is 3.4 minutes. At the a = .05 level of significance. a. Identify the null and alternative hypothesis for this study. b. Calculate the test statistic. c. Find the p-value. d. Determine the conclusion and interpretation for this hypothesis test.Complete the steps of a one-mean hypothesis test with Population SD known - P-Value approach 1. A doctor is interested in testing the claim that a new medicine reduces pain on average in less than 10 minutes after taking the medicine. To test this claim, the doctor collects the following data on a sample of 32 patients who took the medication and recorded the time for the medication to take effect. The researcher finds that the sample mean is 9.31 minutes. From past data, it is known that the population standard deviation is 3.1 minutes. Assume the population is normally distributed. At the 10% level of significance, test the claim. a. Identify the null and alternative hypothesis for this study. b. Calculate the test statistic. c. Find the p-value. d. Determine the conclusion and interpretation for this hypothesis test