Given the following problems, conduct a hypothesis test by going through the six (steps) that are identified in the discussion. Question 1 10 pts A college math teacher claims that the mean score of students in his Statistics class is greater than 82 with a standard deviation of 20. If a sample of 81 students was selected with a mean score of 90 then check if there is enough evidence to support this claim (based on the sample) at a 0.01 significance level.Due to the Covid-19 epidemic. Many shops went online. One of them is an online restaurant. It claims that the mean delivery time for food orders is less than 120 minutes with a standard deviation of 30 minutes. Is there enough evidence to support this claim at a 0.05 significance level if 49 orders were examined with a mean of 100 minutes?In a certain school, the average height of students in a batch is 100 cm and the standard deviation is 15 cm. However, a researcher believes that this has changed, so he decides to test the height of 75 random students of a sample of the batch. The average height of the sample comes out to be 105 cm. Is there enough evidence to suggest that the average height has changed? A certain company wants to improve sales hence improve prot. Past sales data indicate that the average sale was 100 Php per transaction. After the sales representatives have undergone training, recent sales data taken from a sample of 25 sales representatives, indicates an average sale of 130 Php, with a standard deviation of 15 Php. Did the training of the sales representatives work? Test your hypothesis at a 5% alpha level