A wildlife biologist was interested in determining the effect of raising deer in captivity on the size of the deer. She decided to consider three populations: deer raised in the wild, deer raised on large hunting ranches, and deer raised in zoos. She randomly selected eight deer in each of the three environments and weighed the deer at age 1 year. The weights (in pounds) are given in the data_7. The biologist hypothesized that the weights of deer from captive environments would have a larger level of variability than the weights from deer raised in the wild. Do the data support her contention?data_7'Wild' 'Ranch' 'Zoo'114.7 120.4 103.1128.9 91 90.7111.5 119.6 129.5116.4 119.4 75.8134.5 150 182.5126.7 169.7 76.8120.6 100.9 87.3129.59 76.1 77.3 **Data Summary**The table below presents data comparing measurements across three different environments: **Wild**, **Ranch**, and **Zoo**. Each environment category lists specific numerical values which may represent measurements such as weight, height, population, or another quantitative metric. | **Wild** | **Ranch** | **Zoo** ||----------|-----------|---------|| 114.7 | 120.4 | 103.1 || 128.9 | 91 | 90.7 || 111.5 | 119.6 | 129.5 || 116.4 | 119.4 | 75.8 || 134.5 | 150 | 182.5 || 126.7 | 169.7 | 76.8 || 120.6 | 100.9 | 87.3 || 129.59 | 76.1 | 77.3 |**Analysis Considerations:**- The values in each column correspond to the respective environment, possibly suggesting variability between the conditions.- Variations in the numbers under each category might indicate differences in the factors being measured, specific to that environment.

Name: A wildlife biologist was interested in determining the effect of raisi
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: A wildlife biologist was interested in determining the effect of raising deer in captivity on the size of the deer. She decided to consider three populations: deer raised in the wild, deer raised on large hunting ranches, and deer raised in zoos. She

Given data of weight of 1 year old deer raised in the wild, deer raised on large hunting ranches, and deer raised in zoos as shown belowThe claim is to test the weights of deer from captive environments would have a larger level of variability than the weights from deer raised in the wild.The null and alternative hypothesis are stated belowHo:σwild2=σZoo2Ha:σwild2<σZoo2Let us assume the level of significance as 0.05 and using the sample data of deer weight from wild and deer weight from zoo and ranch are considered as captive, its mean and standard deviation are calculated as shown belowFor Wild deermean=∑Xn=114.7+128.9+111.5+..+129.598=122.87variance s12=∑(Xi-X__)2n-1=114.7-122.872+128.9-122.872+..+129.59-122.8728-1=67.60For Zoo and Ranch deer (Captive)mean=∑Xn=103.1+120.4+90.7+129.5+.+76.1+.+77.38+8=110.63variance s22=∑(Xi-X__)2n-1=103.1-110.632+120.4-110.632+90.7-110.632+..76.1-110.632+77.3-110.63216-1=1130.17The degree of freedom is calculated as shown belowD.F1=n1-1=8-1=7D.F2=n2-1=16-1=15 The test statistic is calculated as shown belowF=67.601130.17=0.0598 With degree of freedom 7,15 the p value for test statistic 0.0598 is P(F < 0.0598), with reference to F table we get its value as 0.000479 Hence p value is less than level of significance, we have sufficient evidence to reject the null hypothesis.At 5% level of significance we conclude that the weights of deer from captive environments would have a larger level of variability than the weights from deer raised in the wild.