Co 1. The average age of attendees at an amusement park is 45.8 years old. 50 randomly selected people at the park are selected and their average age was 43.1 years old with a sample standard deviation of s= 8.3. Test whether the data supports the alternative hypothesis, at the 5% level of significance, that the population mean is less than 45.8 years old.

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1. The average age of attendees at an amusement park is 45.8 years old. 50 randomly selected people
at the park are selected and their average age was 43.1 years old with a sample standard deviation of
s= 8.3. Test whether the data supports the alternative hypothesis, at the 5% level of significance,
that the population mean is less than 45.8 years old.
2. A machine that fills bottles with water is calibrated to fill each bottle with 11.9 ounces. The company
wants to make sure that the machine is working properly by selecting 80 random bottles. The
company got an average of 12 ounces with a sample standard deviation of s= 2.1. Is there enough
evidence in the sample, at the 10% level of significance, to conclude that the machine is working
properly?
3. A company that makes computers has a computer with an average download speed of 87.2 Mbps.
The company is in the process of making a new computer with hopes of a greater download speed.
The company test 40 new computers and got an average of 91.4 Mbps with a sample standard
deviation s = 12.9 Mbps. State the p-value and perform the test using the p-value approach with a
level of significance of 1%.
4. At a restaurant, each customer spends an average of $15.21 to eat. The restaurant is going to offer a
special in hopes that each customer will spend more money. The restaurant samples 30 randomly
selected people and got an average of $16.54 per customer with a standard deviation of s = 3.71.
State the p-value and perform the test using the p-value approach with a level of significance of 5%.
5. A university claims that the average starting salary for their graduates is $ 65,305. A high school
senior that is selecting a college to attend thinks that number is smaller and randomly selects 45
graduates of the university and got an average starting salary to be $ 62,592 with a sample standard
deviations = 8,903. State the p-value and perform the test using the p-value approach with a level of
significance of 1%.
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Transcribed Image Text:1. The average age of attendees at an amusement park is 45.8 years old. 50 randomly selected people at the park are selected and their average age was 43.1 years old with a sample standard deviation of s= 8.3. Test whether the data supports the alternative hypothesis, at the 5% level of significance, that the population mean is less than 45.8 years old. 2. A machine that fills bottles with water is calibrated to fill each bottle with 11.9 ounces. The company wants to make sure that the machine is working properly by selecting 80 random bottles. The company got an average of 12 ounces with a sample standard deviation of s= 2.1. Is there enough evidence in the sample, at the 10% level of significance, to conclude that the machine is working properly? 3. A company that makes computers has a computer with an average download speed of 87.2 Mbps. The company is in the process of making a new computer with hopes of a greater download speed. The company test 40 new computers and got an average of 91.4 Mbps with a sample standard deviation s = 12.9 Mbps. State the p-value and perform the test using the p-value approach with a level of significance of 1%. 4. At a restaurant, each customer spends an average of $15.21 to eat. The restaurant is going to offer a special in hopes that each customer will spend more money. The restaurant samples 30 randomly selected people and got an average of $16.54 per customer with a standard deviation of s = 3.71. State the p-value and perform the test using the p-value approach with a level of significance of 5%. 5. A university claims that the average starting salary for their graduates is $ 65,305. A high school senior that is selecting a college to attend thinks that number is smaller and randomly selects 45 graduates of the university and got an average starting salary to be $ 62,592 with a sample standard deviations = 8,903. State the p-value and perform the test using the p-value approach with a level of significance of 1%. Ⓒhttps://www.teacherspayteachers.com/Store/My-Geometry-World
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