**Q1 - In a study of 180 participants with Carpal tunnel syndrome, half had surgery and the other half had a splint. in the surgery group, 65 patients showed improvements after 3 months while 42 of those who used a wrist split improved.**

Is surgery more effective than the use of wrist splints for patients with this condition?

Is surgery more effective than the use of wrist splints for patients with this condition?

a) write appropriate hypothesis.

b) test the hypothesis, find the P-value and state your conclusion in plain English. use

*a =*0.01.

c) create a 98% confidence interval for the different proportion of patients showing improvement, and interpret your interval.

d) comment on your interval in relation to b).

**Q3 - what is the effect of concussion on brain size? researchers measured the brain sizes (hippocampal volume in microlitres) of 25 football players with a history of medically diagnosed concussion and 25 football players who did not have any history of concussions.**

The data are summarized below:

The data are summarized below:

GROUP | MEAN | ST. DEVIATION |

Concussion | 5819 | 597.2 |

Non-concussion | 6377 | 709.8 |

*df*= n1+n2 - 2.

b) create a 95% confidence interval for the mean difference in brain size, and interpret the interval.

c) does the confidence interval confirm your answer to a)? explain.

**Q4 - manufacturers of genetic drug brands must show that they do not differ significantly from the reference drugs that they imitate. once aspect in which drugs might differ is their extent of absorption in the blood. ten randomly selected healthy adults were given each drug. the order that subjects received the drugs was randomized, with a washout period between drugs.**

the amount of both drugs absorbed is shown below for each of the ten subjects.

Absorption extent:

the amount of both drugs absorbed is shown below for each of the ten subjects.

Absorption extent:

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

Reference Drug | 4108 | 2526 | 2779 | 3852 | 1833 | 2463 | 2059 | 1709 | 1829 | 2594 |

Generic Drug | 1755 | 1138 | 1613 | 2254 | 1310 | 2120 | 1851 | 1878 | 1682 | 2613 |

b) do the drugs differ significantly in the amount of absorbed in the blood?

c) carry out a hypothesis test using

*a =*0.05 and write your conclusion.

d) calculate a 90% confidence interval for the difference in absorption amounts for the two drugs, and interpret the interval.

did you expect 0 to be contained in the interval? explain.

**Q5 - the Australian red cross states the 38% of the population have type A blood, 10% are type B, 3% are AB and 49% have type O. A local blood bank recorded the frequencies of each blood type for 100 donors, with the results shown below.**

BLOOD TYPE | NO. OF DONORS. |

A | 42 |

B | 7 |

AB | 5 |

O | 46 |

a) if the local blood bank donor blood types match that of the general population, what would be the expected counts for each blood type?

b) to see if these results are unusual, should you perform a goodness-of-fit test or a test of independence?

c) state your hypotheses.

d) how many degrees of freedom are there?

e) find x2 and the p-value.

f) state your conclusion (use

*a=*0.05) in the context of the question.

**Q6 - Are crime and the relationship of the criminal to the victim independent? the following table shows data on randomly selected crimes victims.**

HOMICIDE | ROBBERY | ASSAULT | |

CRIMINAL WAS A STRANGER | 12 | 379 | 727 |

CRIMINAL WAS KNOWN THE THE VICTIM | 39 | 106 | 642 |

b) how many degrees of freedom are there?

c) find x2 and the p-value.

d) state your conclusion (using

*a =*0.05) in plain English.

**Q8 - an experiment was designed to compare the lengths of time of pain relief that four different drugs provided, following surgery. 20 patients were randomly assigned to be administered one of the four drugs following surgery and the length of their pain relief was recorded. the results (in hours) are shown below.**

DRUG 1 | DRUG 2 | DRUG 3 | DRUG 4 |

8 | 6 | 9 | 4 |

9 | 5 | 9 | 2 |

7 | 6 | 11 | 4 |

4 | 4 | 10 | 4 |

2 | 4 | 12 | 2 |

b) carry out the ANOVA, and report the test statistic and p-value.

write a brief conclusion of the ANOVA analysis.

c) write a brief conclusion of the ANOVA conclusion.

d) carry out the bonferroni's multiple comparisons and summarize the results, if appropriate.

If anyone could help out with this, it is much appreciated. I am really stuck on this and need it ASAP