A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325mg upper limit set by regulations for \"reduced sodium" franks. The mean sodium content for the sample was 321.7 mg with a standard deviation of 18 mg. Assume that the assumptions and conditions for the test are met. a) Test the hypothesis that the mean sodium content meets the regulation. b) Will a larger sample size ensure that the regulations are met? a) Write appropriate hypotheses. Ho: V HA: V The test statistic is t = . (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State your conclusion. Use or = 0.05. V the null hypothesis. There V sufcient evidence to conclude that the mean sodium content is V the value specied in the regulation. b) Choose the correct answer below. [:3 A. Yes, because the sample mean is less than the limit. Increasing the sample size will decrease the standard error, which will decrease the p-value. {:3 B. Yes, because the sample mean is less than the limit. Increasing the sample size will decrease the sample standard deviation, which will decrease the pvalue. No. If another larger sample is chosen, the sample mean could be larger or smaller than the limit. No. Although the sample mean is less than the limit. increasing the sample size will increase the standard error, so the test will not become more specific