For each situation, formulate the appropriate null and alternative hypotheses H0 and Ha. 1) The average final grade of past STATPRO students is known to be 82%. It is believed that there has been an increase in the average grade in the term that just ended. 2) A certain chemical pollutant in the Pasig River has been constant for several years with mean μ = 34 ppm (parts per million). A group of industry representatives claim that their waste management programs have lowered this average significantly. 3) An actress would like to try a diet program. She intends to adopt the diet only if the average weight loss after the program is greater than 15 pounds. 4) Lobbyists of cigarette manufacturing firms claim that the average nicotine content of their cigarettes is less than 3 mg. 5) A bank employee claims that, on the average, their non-ATM customers wait for at most ten minutes before they are served. To disprove this claim, Alex randomly selected 20 customers during banking hours and observed the time each one waited before being served.
For each situation, formulate the appropriate null and alternative hypotheses H0 and Ha.
1) The average final grade of past STATPRO students is known to be 82%. It is believed that there has been an increase in the average grade in the term that just ended.
2) A certain chemical pollutant in the Pasig River has been constant for several years with mean μ = 34 ppm (parts per million). A group of industry representatives claim that their waste management programs have lowered this average significantly.
3) An actress would like to try a diet program. She intends to adopt the diet only if the average weight loss after the program is greater than 15 pounds.
4) Lobbyists of cigarette manufacturing firms claim that the average nicotine content of their cigarettes is less than 3 mg.
5) A bank employee claims that, on the average, their non-ATM customers wait for at most ten minutes before they are served. To disprove this claim, Alex randomly selected 20 customers during banking hours and observed the time each one waited before being served.
6) Mr. Ricardo wants to determine if despite the senior high school program implementation, the average age of college freshmen is not more than 19 years old.
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8) A manufacturer claims that the average capacity of a certain type of battery the company produces is at least 140 ampere-hours.
9) The soft drink dispenser at a fast food center is being inspected. The manager, wanting to know if the dispenser is in good condition, got a sample of 50 cups filled by the dispenser. She would only classify the dispenser as “in god condition” (therefore it need not be adjusted) if the average fill per cup of the dispenser is 8 ounces.
10) A meteorologist looks at recent data to determine if the average number of tropical cyclones visiting the Philippines is still 20 per year.
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