A high end store is looking to open new stores, but requires that 85% of the households in a community have an income of $90,000 or more in order to support the store. If the household incomes in a certain community are normally distributed with a mean of $98,000 and a standard deviation of $5,000, will the store open in that community? Explain why or why not.
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Let X= income of the households
Given that X is normally distributed with mean= 98000 and standard deviation= 5000
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- You are applying for a job at two companies. Company A offers starting salaries with u = $33,000 and o = $1,000. Company B offers starting salaries with u = $33,000 and o = $3,000. From which company are you more likely to get an offer of $35,000 or more? Choose the correct answer below. O A. Company A, because data values that lie more than two standard deviations from the mean are considered unusual. O B. No difference, because data values that lie more than three standard deviations from the mean are considered very unusual. O C. Company B, because data values that lie within one standard deviation from the mean are not considered unusual.The University of Montana admission standards require students to have an ACT score of at least 22. We know that Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. A: Students in Oregon have a mean ACT score of 21.1 with a standard deviation of 2.8. If we chose one student each at random from Oregon and from Montana, which student would be more likely to meet the ACT requirements of the University of Montana? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. B: We know that the Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. Assume that the top 2% of individuals in the state are eligible for a state-funded scholarship. What score does an individual need on the ACT to be eligible? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distributionThe average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…
- The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume that the standard deviation is unknown. If 19% of the Miami hotel room rates are more than $300 per night, what is the variance?Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 15 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $31,500 with a standard deviation of $7900. Seventeen people with doctoral degrees in education were found to have a mean annual salary of $47,500 with a standard deviation of $6900. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion of men who sleep for less than 6 hours per night. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
- A mountain climber plans to buy some ropes to use as a lifeline. Which of the following would be a better one? Rope A: with a mean breaking strength of 500 LBS and standard deviation of 100 LBS or Rope B: with a mean breaking strength of 500 LBS and standard deviation of 10 LBS ExplainIt is known that incomes from the USA follow a normal distribution with a mean of $55,000 and a standard deviation of $12,000. A researcher took a sample of 100 people in the USA and obtained a sample mean of $67,000 with a standard deviation of $18,000. What are the characteristics of the sampling distribution. A. Mean = $55,000 and Standard Deviation of the Mean = $1200 B. Mean = $55,000 and Standard Deviation of the Mean = $12000 C. Mean = $67,000 and Standard Deviation of the Mean = $569.21 D. Mean = $67,000 and Standard Deviation of the Mean = $1800A group of friends get together every Sunday for a little pick-up hockey. The age of the 20 regulars is shown below. 20 28 26 46 28 27 41 38 21 38 46 44 50 33 35 37 24 43 25 37 a.) Find the standard deviation, mean, median, and mode for the distribution. b.) Which measure best describes these data? Explain.
- The income of trainess at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150. What percentage of trainees earn less than $900 a month?Suppose two graduating seniors, one a marketing major and one an accounting major, are comparing job offers. The accounting major has an offer for $53,000 per year, and the marketing major has an offer for $49,000 per year. Summary information about the distribution of the offers is shown below: Accounting: mean: 50000 standard deviation: 1500 Marketing: mean: 45500 standard deviation: 1000 Which offer is more attractive and why?A survey finds that the prices paid for two-year-old Ford Fusion cars are normally distributed with a mean of $17,500.00 and a standard deviation of $500.00. Consider a sample of 10,000 people who bought two-year-old Ford Fusions. 6800 of the people who bought two-year old Ford Fusions spends between $ .00 and $ .00 How many people spends less than $17,000.00 people. How many people spends more than $19,000.00 people (Note this question has to do with the empirical rule and the symmetric nature of the normal distribution)