According to the research, 44 % of homes sold in a certain month and year were purchased by first-time buyers. A random sample of 195 people who just purchased homes is selected.

Complete parts a through e below.

a. Calculate the standard error of the proportion (Round to four decimal places as needed.)

b. What is the probability that less than 91 of them are first-time buyers? (Round to four decimal places as needed.)

c. What is the probability that more than 93 of them are first-time buyers? (Round to four decimal places as needed.)

d. What is the probability that more than 85 of them are first-time buyers? (Round to four decimal places as needed.)

e. What is the probability that between 74 and 80 of them are first-time buyers? (Round to four decimal places as needed.)

1. In 1995, Betty White received a star on the Hollywood Walk of Fame – and her star is right near the star of her late husband, Allen Ludden. There are many couples that both have stars on the Hollywood Walk of Fame. This led Betty to wonder – is there a difference in the age between the husband and wife when they get their Hollywood star? As a result, Betty took a random sample of heterosexual couples that both have stars on the Hollywood Walk of Fame and recorded the age at which they received their star, given below.

At the .05 level of significance, is there evidence that there is a difference in the ages when husbands and wives get their Hollywood Walk of Fame star?

1. ] In 1995, Betty White received a star on the Hollywood Walk of Fame – and her star is right near the star of her late husband, Allen Ludden. There are many couples that both have stars on the Hollywood Walk of Fame. This led Betty to wonder – is there a difference in the age between the husband and wife when they get their Hollywood star? As a result, Betty took a random sample of heterosexual couples that both have stars on the Hollywood Walk of Fame and recorded the age at which they received their star, given below.

At the .05 level of significance, is there evidence that there is a difference in the ages when husbands and wives get their Hollywood Walk of Fame star?

Yoklic Ltd currently manufactures a subassembly for its main product. The costs per unit are as follows:

Regina Ltd has contacted Yoklic with an offer to sell it 5000 subassemblies for $55.00 each.

Required

(a)     Should Yoklic make or buy the subassemblies? Create a schedule that shows the total quantitative differences between the two alternatives.

(b)     The accountant decided to investigate the fixed costs to see whether any incremental changes would occur if the subassembly were no longer manufactured. The accountant believes that Yoklic will eliminate $50 000 of fixed overhead if it accepts the proposal. Does this new information change the decision? Show your calculations.

(c)     What qualitative factors are important for accountants and managers to consider for Yoklic’s make or buy decision?

2. Yoklic Ltd currently manufactures a subassembly for its main product. The costs per unit are as follows:

Regina Ltd has contacted Yoklic with an offer to sell it 5000 subassemblies for $55.00 each.

Required

(a)     Should Yoklic make or buy the subassemblies? Create a schedule that shows the total quantitative differences between the two alternatives.

(b)     The accountant decided to investigate the fixed costs to see whether any incremental changes would occur if the subassembly were no longer manufactured. The accountant believes that Yoklic will eliminate $50 000 of fixed overhead if it accepts the proposal. Does this new information change the decision? Show your calculations.

(c)     What qualitative factors are important for accountants and managers to consider for Yoklic’s make or buy decision?

1. The time to failure for an electronic device is measured as with different operation temperatures and humidity levels. The following data is obtained.

Is there a difference in mean life with different temperature and humidity? Is there an interaction between temperature and humidity? Complete the below table to support your conclusions.

Question 5: Data on the total tobacco exposure time (in seconds) for G-rated animated films with tobacco use released between 1937 and 1997 produced by Walt Disney, Inc. are as follows:

223 176 548 37 158 51 299 37 11 165 74 92 6 23 206 9

Similar data for G-rated animated films with tobacco use produced by MGM/United Artists, Warner Brothers, Universal, and Twentieth Century Fox are as follows:

205 162 6 1 117 5 91 155 24 55 17

(a) . Construct a back-to-back stem-and-leaf plot to compare the two exposure-time distributions. Use hundreds for stems and tens (truncated) for leaves. Divide each stem into a ”Low” and ”High” part.

(b) . Compare the two exposure-time distributions with respect to shape, centre, spread and outliers

A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 74 of the 715 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between and . b. If many groups of 715 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about percent will not contain the true population proportion.

Suppose a state is considering three different types of fiscal limits for local governments in the state--a maximum property tax rate, a limit that property tax revenue may not increase more than population and inflation rate together, or a limit that spending may not increase more than five percent. In each case, the limit may be exceeded by majority vote. Which limit is most restrictive and why? Contrast the three in terms of the sources of allowed increases in taxes or spending and the potential effect on local services.

Suppose a state is considering three different types of fiscal limits for local governments in the state--a maximum property tax rate, a limit that property tax revenue may not increase more than population and inflation rate together, or a limit that spending may not increase more than five percent. In each case, the limit may be exceeded by majority vote. Which limit is most restrictive and why? Contrast the three in terms of the sources of allowed increases in taxes or spending and the potential effect on local services.