Researchers doing a study of incomes in a large metropolitan area want to determine if residents...

Researchers doing a study of incomes in a large metropolitan area want to determine if residents in Suburban District 1 have different mean income from residents in Suburban District 2. They collected the data and found the following sample means and variances. Use these data to conduct a hypothesis test of their research question, using α = .05.

	Suburban District 1	Suburban District 1
Sample Size	50	49
Sample Mean	₁ = 34,270	₂ = 32,780
Sample Variance	= 8740	= 6580

State the null and alternative hypotheses in words and in symbols. (4 points)

Is this a one-sided or a two-sided test? How do you know? (3 points)

Should you use a z-test or a t-test for this problem? Why? (3 points)

Find the critical value of the test statistic. (4 points)

Calculate the value of the test statistic for this sample. (8 points)

Based on these results, can you reject the null hypothesis or not? Write a sentence to explain your conclusion. (4 points)

Expert Solution

orchestra answered 2 years ago

. A sample of 500 respondents was selected in a large metropolitan area to study consumer...

. A sample of 500 respondents was selected in a large metropolitan area to study consumer behavior, with the following results shown through the contingency table: Gender Enjoy Shopping for Male Female Total Clothing Yes 136 224 360 No 104 36 140 Total 240 260 500 a. Find the probability of selecting a male respondent. (2) b. What is the probability that selected respondent is a female who enjoys shopping for clothing?(2) c. What is the probability, if a person is...

Researchers want to determine the prevalence of Type 2 Diabetes in 30-79 year-old residents of Sugarville,...

Researchers want to determine the prevalence of Type 2 Diabetes in 30-79 year-old residents of Sugarville, a large metropolitan area. For this purpose, they select a random sample of 4000 people from the area, draw fasting blood, and define Type 2 Diabetes as having fasting blood glucose of 126 mg/dL or higher. The results are shown in the table below. Men Women Both sexes Age Sampled Have diabetes Prevalence Sampled Have diabetes Prevalence Prevalence 30-39 500 25 500 15 40-49...

A survey is conducted to estimate the average household income in a large metropolitan area. A...

A survey is conducted to estimate the average household income in a large metropolitan area. A random sample of 150 households in this area yielded an average household income of $55,000 with a standard deviation of $13,200. Construct a 95% confidence interval for the mean household income in this area. (Choose the BEST answer)

2. There is a large area of Bangladesh where the groundwater is contaminated by arsenic. Residents...

2. There is a large area of Bangladesh where the groundwater is contaminated by arsenic. Residents of this area suffer from elevated rates of cancer, and of pre-cancerous skin lesions, because they often have no alternative but to drink the arsenic-contaminated water. Many efforts are underway to solve this problem. In one study, investigators looked for evidence that the effect of arsenic on pre-cancerous skin lesions might be increased or decreased by other factors – effect modifiers. One such possible...

Those insured by this health plan are employed mostly by large companies in the metropolitan area,...

Those insured by this health plan are employed mostly by large companies in the metropolitan area, and these companies pay for their employees’ health insurance. The health plan leaders and the employers both recognize that their business model depends on their success in addressing behavioral risk factors that play a critical role in the prevention and management of chronic diseases, the containment of health care costs, and the enhancement of employee productivity. In your new role, you are asked to...

In a certain school district in a large metropolitan area, the SAT scores over that past...

In a certain school district in a large metropolitan area, the SAT scores over that past five years are normally distributed with a mean of 1538. Furthermore, P30 is 1384. What is the P99P99 score for this population?

. Suppose that banana prices at supermarkets in a particular large metropolitan area follow a normaldistribution...

. Suppose that banana prices at supermarkets in a particular large metropolitan area follow a normaldistribution with mean µ= 58.6 cents per pound and standard deviation σ= 4.3 cents per pound. For parts (a) through (c), what is the probability that the price of bananas at a random supermarket will be: (a) below 55 cents per pound? (b) above 65 cents per pound? (c) Between 57 and 62 cents per pound? (d) Below 57 cents or above 62 cents per pound? (d) What is...

A physician decdes to take a random sample of hospitals in a large metropolitan area. From...

A physician decdes to take a random sample of hospitals in a large metropolitan area. From each hospital included in the sample he takes a random sample of house-staff physcians. He interviews the physicians to determine where they attended medical school. The sample design used in this study is an example of: (1 mark) Systematic random sample Stratified random sample Simple cluster sample Two stage cluster sample Haphazard sample Investigations in which the student units are stimulated in some way...

Hotel Sport is in the suburb of large metropolitan area near a sports complex that has...

Hotel Sport is in the suburb of large metropolitan area near a sports complex that has a stadium suitable for baseball and soccer games. The 250-room independent hotel is a select-service property in the mid-range category. Its rate structure is simple: Rack $190 Weekend $159 Low season/Government $140 Groups (of 15+) $130 Best available rate $120 Late August is traditionally a slow season in the hotel and business picks up in September after area businesses and government offices...

3. The regional transit authority for a major metropolitan area wants to determine whether there is...

3. The regional transit authority for a major metropolitan area wants to determine whether there is any linear relationship between the mileage of a bus and the market resale value of the bus. A very small random sample resulted in the following data: Bus Mileage Resale Value (In 1000 of Miles) (In $1000) 5 58 3 90 4 85 2 96 5 64 5 57 a. Use the method of OLS to compute the slope and intercept of sample linear...

Question