The meerkat uses its tail to balance when standing upright. The}r often stand up in the morning to absorb heat on their bellies after a long cold desert night. You take a random sample of 51 meerkats and record how long they \"lounge" warming their bellies in the morning. During summer months you nd the mean lounging time to be 25 minutes with a standard deviation of 3 minutes. You know 'om previous research that meerkats lounge for an average of 29 minutes during the colder winter months. a} Is there evidence that meerkats lounge for shorter during summer months than during winter months? Use an {It-level of 0.10. (Write all steps of the test including hypotheses, test statistics, nd and interpret p-value, and conclusion) h) Construct a 90% condence interval for the mean lounging time in the summer months. Interpret the interval