1. The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food has been developed and is tested on 60 individual plots of land. The mean yicld with the new plant food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a-0.05, can you conclude that the average production has increased? Assume that the data is normally distributed.
1. The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food has been developed and is tested on 60 individual plots of land. The mean yicld with the new plant food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a-0.05, can you conclude that the average production has increased? Assume that the data is normally distributed.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:Direction: Use the traditional method in testing the hypothesis for each problem. Use Microsoft Excel in
the computations.
The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food has
been developed and is tested on 60 individual plots of land. The mean yield with the new plant
food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At
a =0.05, can you conclude that the average production has increased? Assume that the data is
normally distributed,
1.
A state executive claims that the average number of acres in western Pennsylvania state parks is
less than 2000 acres. A random sample of five parks is selected, and the number of acres is
shown. At a=0.01, is there enough evidence to support the claim? Assume that the data is
normally distributed.
2.
959
1187
493
6249
541
3. A recent survey found that 68.6% of the population own their homes. In a random sample of 150
heads of houscholds, 92 responded that they owned their homes. At the a3D0.01 level of
significance, does that suggest a difference from the national proportion? Assume that the data is
normally distributed.
4. The number of grams of carbohydrates contained in 1-ounce servings of randomly selected
chocolate and nonchocolate candy is listed here. Is there sufficient evidence to conclude that the
difference in the means is significant? Use a=0.10. Assume that the data is normally distributed.
Chocolate:
29
25
17
36
41
25
32
29
38
34
24
27
29
Nonchocolate: 41
41
37
29
30
38
39
10
29
55
29
5. An obstacle course was set up on a campus, and 10 volunteers were given a chance to complete it
while they were being timed. They then sampled a new energy drink and were given the
opportunity to run the course again. The "before" and "after" times in seconds are shown below,
Is there sufficient evidence at a= 0.05 to conclude that the time spent by the students differs
before and after drinking the energy drink? Discuss possible reasons for your results. Assume that
the data is normally distributed.
Student
1
4
50
Before
67
72
80
70
78
82
69
75
After
68 ·
70
76
65
75·
78 ·
65 - 68
2021.08.10 18:00
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