please answer 3 different questions [question 1 has a part (a) and part (b)]

We want to conduct a hypothesis test of the claim that the population mean germination time of strawberry seeds is different from 19.2 days. So, we choose random sample of strawberries. The sample has a mean of 19 days and a standard deviation of 1.1 days. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic Round your answers to two decimal places. (a) The sample has size 18, and it is from a normally distributed population with an unknown standard deviation. Oz -I C 1 = It is unclear which test statistic to use. X 5 (b) The sample has size 10, and it is from a normally distributed population with a known standard deviation of 1.2. ? C z = [ C 1 = ] It is unclear which test statistic to use. The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.85 pounds with a standard deviati 1.02 pounds. In a recent study, a group of 45 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.88 poun after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 45 individuals will be 1.88 pounds or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. X Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P (0.57 SZSC)= 0.2443 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. X