14.2: A Catapulted Pumpkin Catapulted Pumpkin
36
-32
-28
-24
-20
The equation h = 2 + 23.7t – 4.9tº represents the height of a pumpkin that is catapulted up in the air as a
function of time, t, in seconds. The height is measured in meters above ground. The pumpkin is shot up at a
vertical velocity of 23.7 meters per second.
1. Without writing anything down consider these questions:
• What do you think the 2 in the equation tells us in this situation? What about the -4.9t??
If we graph the equation, will the graph open upward or downward? Why?
Where do you think the vertical intercept would be?
• What about the horizontal Intercepts?
2. Graph the equation using graphing technology.
3. Identify the vertical and horizontal intercepts, and the vertex of the graph. Explain what each point means
In this situation.
Height (Meters)
16
12
8
Time (Seconds)

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.