Week 7 Workshop 澳大利亚商科代写

These questions are designed to help you master the lecture material on chi-square tests. (Note: As noted in lectures the chi-square tests are in Chapter 18 of S&F).

Q1. Russia’s last czar, Nicholas II, and his family were buried in St. Peterburg’s Peter and Paul Fortress in July 1998 on the anniversary of their murder. In a survey of Russian citizens across several major cities in Russia, respondents were asked how they primarily view the czar. The results are as follows:

Suppose that a political analyst wished to determine if these same percentages held for the residents of St. Petersburg. Two hundred residents of St Petersburg were selected at random for the survey. Using the following data, test that the distribution of the responses appears to be the same as the distribution in the national survey. Use a 1% significance level.

Q2. A Car rental company has 15 cars to rent. The owner believes that the number of cars rented daily is binomially distributed. He also believes that each car has a 30% chance of being rented each day. Forty-five randomly selected days are chosen and the numbers of cars rented are recorded. From the data, test the hypothesis that the daily rental of cars is binomially distributed with p=0.3. Use a 5% significance level. 澳大利亚商科代写

Q3. Axiom Market research published the following data concerning education level and attendance at “regular theatre performances”. A sample size of 950 was selected. Do the data indicate, at the 5% significance level, a relationship between level of education and regular theatre attendance?

Q4. The personnel department of a particular firm wants to know if an employee’s age is associated with productivity (given in items per hour). The manager of the personnel department draws a random sample of 60 employees from each of the age classifications listed. The data is summarised below. Do the data support the hypothesis that the five age categories differ with respect to productivity? Use a 10% significance level.

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