# Hi i need help with these questions, My assignment is due today1. Ophthalmologists studying the treatment

# Hi i need help with these questions, My assignment is due today1. Ophthalmologists studying the treatment

of using an infrared laser procedure in ten patients with vision loss caused by dry age-related macular degeneration (AMD) found the following data on visual acuity (VA) before and after the procedure. Assume a .05 significance level to test the claim that there is a difference between the number of VA lines that can be read by individuals before and after the procedure. Also, assume the data consist of matched pairs, the samples are simple random samples, and the pairs of values are from a population having a distribution that is approximately normal.

Individual | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

VA Lines Read Before | 3 | 4 | 2 | 4 | 5 | 3 | 4 | 5 | 3 | 3 |

Laser Procedure | ||||||||||

VA Lines Read After | 4 | 4 | 5 | 5 | 6 | 3 | 7 | 6 | 3 | 5 |

Laser Procedure |

Construct a 95% confidence interval estimate of the mean difference between the before and after number of visual acuity lines read. Give your answer with two decimals, e.g., (12.34,56.78)(Points : 0.5)

2. Biologists are investigating if their efforts to prevent erosion on the bank of a stream have been statistically significant. For this stream, a narrow channel width is a good indicator that erosion is not occurring. Test the claim that the mean width of ten locations within the stream is greater than 3.7 meters. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. Use the following sample data:

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3.33.33.54.93.54.14.157.36.2

What is the P-value associated with your test statistic? Report your answer with three decimals, e.g., .987 . (Points : 1)

3. The paired data consist of the cost of regionally advertising (in thousands of dollars) a certain pharmaceutical drug and the number of new prescriptions written (in thousands).

Cost | 9 | 2 | 3 | 4 | 2 | 5 | 9 | 10 |

Number | 85 | 52 | 55 | 68 | 67 | 86 | 83 | 73 |

Find the value of the linear correlation coefficient r . Give your answer to three decimals, e.g., .987 . (Points : 0.5)

4. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely.

Jan | Feb | Mar | Apr | May | June | July | Aug | Sept | Oct | Nov | Dec |

1 | 3 | 2 | 7 | 14 | 20 | 37 | 33 | 16 | 6 | 2 | 3 |

Determine the value of the χ^{2} test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5)

5. Using a .01 significance level, test the claim that the proportions of fear/do not fear responses are the same for male and female dental patients.

**Gender**

Male | Female | |

Fear Dentistry | 48 | 70 |

Do Not Fear Dentistry | 21 | 32 |

Do you reject the null hypothesis, at the .01 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5)

6. The table represents results from an experiment with patients afflicted with eczema on both arms. Each patient was treated with an immune modulator cream on one arm and a topical steroid cream on the other arm. Using a .05 significance level, apply McNemar’s test to test the following claim: The proportion of patients with no cure on the immune modulator treated arm and a cure on the topical steroid treated arm is the same as the proportion of patients with a cure on the immune modulator treated arm and no cure on the topical steroid treated arm.

Immune Modulator Cream |

Cure | No Cure | ||

Topical Steroid | Cure | 25 | 11 |

Cream | No Cure | 42 | 22 |

Determine the value of the χ^{2} test statistic. Give your answer to two decimals, e.g., 12.34 (Points : 0.5)

7. Geneticists studying carriers of genetic diseases followed subjects subdivided by race. Researchers randomly selected seven patients per race who had been identified as carrying a certain gene for a genetic disease; these patients were followed to determine the number of their siblings who also carried the gene for the genetic disease. Use a One-Way ANOVA at a .05 significance level to test the claim that the means from the different races are not all the same.

Caucasian | African-American | Other |

2 | 0 | 0 |

3 | 0 | 1 |

3 | 1 | 2 |

3 | 2 | 2 |

4 | 2 | 2 |

5 | 2 | 3 |

5 | 4 | 4 |

Determine the value of the F test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5)

8. Use the following technology display from a Two-Way ANOVA to answer this question. Biologists studying habitat use in Lepidopteran moths measured the number of savannah moths found at three randomly selected prairie sites with two potential habitat interferences (expansion of row crops and grazing). Use a .05 significance level.

Source | Df | SS | MS | F | P |

Site | 2 | .1905 | .0952 | .0381 | .9627 |

Habitat | 1 | 304.0238 | 304.0238 | 121.6095 | .0000 |

Site*Habitat | 2 | .1905 | .0952 | .0381 | .9627 |

Do you reject the null hypothesis anbout the habitat effect, at the .05 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5)