TESTS CONCERNING THE MEAN OF A SINGLE POPULATION Kindly use RStudio in answering. Perform a hypothesis test on each of the following problems. Present all the steps involved in the process, and use RStudio for the computational part. 1. A business travel magazine wants to classify transatlantic gateway airports according to the mean rating for the population of business travelers. A rating scale with a low score of 0 and a high score of 10 will be used, and airports with a population mean rating greater than 7 will be designated as superior service airports. The magazine staff surveyed a sample of 60 business travelers at each airport to obtain the ratings data. The sample for London's Heathrow Airport provided a sample mean rating of 7.25 and a sample standard deviation of 1.052. Do the data indicate that Heathrow should be designated as a superior service airport? 2. A consumer group complains that the gas tax (in Php per gallon) levied by the local government is too high. The data on gas tax obtained in 30 urban areas in the country is contained in the "tax.csv" file. Assuming normality, test at the 5% level of significance that the mean gas tax is no greater than 50 (Php per gallon). 3. The managing officer of FlantAsia, an ornamental plant distributor in East Asia claim that their company's sales decrease by 20% during the month of December. The officer summons the company's analyst to investigate the claim. The analyst gathers a record of the product sales during the month of December for the past 40 years. The distribution of the percentage decrease in sales is in the file "decrease.csv". At the 5% significance level, what would you say about the officer's claim? Note: Also attached here are the csv files for problems 2 and 3. Please use it for problems 2 and 3.

Year decrease 2 1981 15.72 1982 21.24 4 1983 23.25 1984 19.8 1985 20.9 1986 17.34 1987 21.28 9 1988 18.25 10 1989 19.21 11 1990 19.76 12 1991 23.45 13 1992 23.12 14 1993 18.54 U 1994 19.35 16 1995 21.95 17 1996 24.56 18 1997 29.5 19 1998 12.8 20 1999 16.25 21 2000 27.36 22 2001 23.65 23 2002 18.24 74 2003 19.43 25 2004 23.78 26 2005 32.13 27 2006 10.77 28 2007 8.29 29 2008 10.1119 2008 10.11 2009 25.78 1 2010 24.12 2 2011 20.76 2012 18.23 4 2013 9.77 2014 11.23 6 2015 16.23 7 2016 19.21 8 2017 19.2 2018 28.6 0 2019 9.35 1 2020 10.18Urban Area tax 53 48 42 57 51 50 49 49 56 10 47 11 45 12 41 13 58 14 54 15 53 16 50 17 48 18 4519 18 45 20 19 44 21 20 49 22 21 42 23 22 51 24 23 41 25 24 53 26 25 42 27 26 56 28 27 45 29 44 30 29 40 31 30 49