At this year’s Hucktown annual squash growing contest, all of the contestants’ squash are astronomically huge, weighing in the hundreds of pounds. The residents of Hucktown suspect extra-terrestrial influence. As luck would have it, your car breaks down in the midst of all the chaos. Being a scientist, and to kill some time, you decide to measure the monster squash. Listed below are the weights from a sample of the squash. 493, 495, 495, 496, 498, 498, 498, 499, 500, 500, 501, 502, 503, 503, 504, 504, 504, 506, 506, 506, 507, 508, 508, 509, 510, 510, 510, 511, 512, 512. You decide to interview the people of the town to find out more about this epidemic. The mayor of the town tells you she thinks these squash are significantly larger than usual. She explains that they weigh all the squash every year and that the average of all the squash ever grown in the town is 500lbs. Unfortunately, she does not have the original data and has never heard of standard deviation before. a.) Do the data support the idea that these squash are significantly different than usual? Test with α = 0.01. b.) Calculate and interpret the effect size.
- At this year’s Hucktown annual squash growing contest, all of the contestants’ squash are astronomically huge, weighing in the hundreds of pounds. The residents of Hucktown suspect extra-terrestrial influence. As luck would have it, your car breaks down in the midst of all the chaos. Being a scientist, and to kill some time, you decide to measure the monster squash. Listed below are the weights from a sample of the squash.
493, 495, 495, 496, 498, 498, 498, 499, 500, 500, 501, 502, 503, 503, 504,
504, 504, 506, 506, 506, 507, 508, 508, 509, 510, 510, 510, 511, 512, 512.
You decide to interview the people of the town to find out more about this epidemic. The mayor of the town tells you she thinks these squash are significantly larger than usual. She explains that they weigh all the squash every year and that the average of all the squash ever grown in the town is 500lbs. Unfortunately, she does not have the original data and has never heard of standard deviation before.
a.) Do the data support the idea that these squash are significantly different than usual? Test with α = 0.01.
b.) Calculate and interpret the effect size.
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