QUESTION 8 The distribution of body size of chiggers (as measured by weight) is known to be log-normal (that is, size is normally distributed if log transformed). The log-transformed mean weight of 11 female and 9 male chiggers are listed in the table below. Female Male Log-transformed Mean Weight (mg) 25.08 25.34 Standard Deviation 2.83 4.97 Solve for the standard error of the difference between two means. Round your answer to 3 decimal places. QUESTION 9 To examine the potential effects on the transmission of dengue. Bian et al. (2010) infected mosquitoes from both the WB1 (laboratory created) strain and the original wild strain with dengue. Fourteen days later, the mosquitoes were allowed to feed on an artificial food solution for 90 minute. Viral titers in the food solution were then measured in plague feeding units per ml. The results are given below. Mosquitoes were tested in groups, and so each data value is an average for the group, measured in plaque feeding units per ml. The data have already been log-transformed using log(Y+1), to better visualize the differences. WB1: n1- 15 R-98 Wild: n2 = 15 R2=8.5 HO: the distribution of viral titers is the same between the two strains HA: the distribution of viral titers is not equal The data has been ranked from smallest to largest and the rank sum (R1. R2) for each data set are listed above. Carry out a Mann-Whitney U-test on the WB1 data. decimal place. solve for U. Answer to one

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**Question 8**

The distribution of body size of chiggers (as measured by weight) is known to be log-normal (that is, size is normally distributed if log transformed). The log-transformed mean weight of 11 female and 9 male chiggers are listed in the table below.

|                      | Female | Male  |
|----------------------|--------|-------|
| Log-transformed Mean Weight (mg) | 2.08   | 25.34 |
| Standard Deviation   | 2.38   | 4.97  |

Solve for the standard error of the difference between two means. Round your answer to 3 decimal places.

---

**Question 9**

To examine the potential effects on the transmission of dengue, Bian et al. (2010) infected mosquitoes from both the WB1 (laboratory created) strain and the original wild strain with dengue. Fourteen days later, the mosquitoes were allowed to feed on an artificial food solution for 90 minutes. Viral titers in the food solution were then measured in plaque-forming units per ml. The results are given below. Mosquitoes were tested in groups, and so each data value is an average per group, measured in plaque-forming units per ml. The data have already been log-transformed using log(y+1), to better visualize the differences.

- **WB1:** n₁ = 15, R₁ = 98
- **Wild:** n₂ = 15, R₂ = 8.5

**H₀:** The distribution of viral titers is the same between the two strains.

**Hₐ:** The distribution of viral titers is not equal.

The data has been ranked from smallest to largest and the rank sum (R₁, R₂) for each data set are listed above. Carry out a Mann-Whitney U-test on the WB1 data and solve for U₁. Answer to one decimal place.

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Transcribed Image Text:**Question 8** The distribution of body size of chiggers (as measured by weight) is known to be log-normal (that is, size is normally distributed if log transformed). The log-transformed mean weight of 11 female and 9 male chiggers are listed in the table below. | | Female | Male | |----------------------|--------|-------| | Log-transformed Mean Weight (mg) | 2.08 | 25.34 | | Standard Deviation | 2.38 | 4.97 | Solve for the standard error of the difference between two means. Round your answer to 3 decimal places. --- **Question 9** To examine the potential effects on the transmission of dengue, Bian et al. (2010) infected mosquitoes from both the WB1 (laboratory created) strain and the original wild strain with dengue. Fourteen days later, the mosquitoes were allowed to feed on an artificial food solution for 90 minutes. Viral titers in the food solution were then measured in plaque-forming units per ml. The results are given below. Mosquitoes were tested in groups, and so each data value is an average per group, measured in plaque-forming units per ml. The data have already been log-transformed using log(y+1), to better visualize the differences. - **WB1:** n₁ = 15, R₁ = 98 - **Wild:** n₂ = 15, R₂ = 8.5 **H₀:** The distribution of viral titers is the same between the two strains. **Hₐ:** The distribution of viral titers is not equal. The data has been ranked from smallest to largest and the rank sum (R₁, R₂) for each data set are listed above. Carry out a Mann-Whitney U-test on the WB1 data and solve for U₁. Answer to one decimal place. *Click Save and Submit to save and submit. Click Save All Answers to save all answers.*
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