At the 0.01 level of significance, can it be concluded that John is overestimated his sales? … (ie. his sales might be less than he claimed
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(b) The team at the Natural-Life company goes out to the city to sell daily. John is a member of the team. He claims that on average, he sells $50,000 worth of their product to each store that he visits per week. The new manager is wary of this claim and believes he may be overstating his sales. To test the claim, the manager took a random sample of 27 stores that the sales representative usually visits weekly and found that the mean amount earned was $48,950 with a standard deviation of $1,250.
At the 0.01 level of significance, can it be concluded that John is overestimated his sales? … (ie. his sales might be less than he claimed)
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- The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion. 4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000) 10.6 5.7 9.0 9.5 8.5 6.4 10.0 13.1 12.5 12.4 7.5 6.6 9.0 10.2 10.0 10.1 5.5 6.0 6.0 6.1 12.0 11.1 12.0 7.5 8.0 7.5 10.5 10.9 7.5 8.4 a-1. Compute and report the regression equation that predicts “fall festival attendance” with “amount spent on Fourth of July fireworks”. (Round your answers to 2 decimal places.) Fall = ________+________ (July $ on Fireworks) a-2. Report the coefficient of determination. (Round your answer to 2 decimal places.) R2_________% a-3. Interpret the regression coefficient. (Round your answer to 4 decimal places.) Regression…A well-known psychology graduate program claims that their Ph.D. graduates get higher-paying jobs than the national average. Last year's figures for salaries paid to all graduates with a psych Ph.D. on their first job showed a mean of $6.20 per hour. A random sample of 10 graduates from last year's class of psychology Ph.D.s showed the following hourly salaries for their first job: $5.40 $6.30 $7.20 $6.80 $6.40 $5.70 $5.80 $6.60 $6.70 $6.90 (a) What is the alternative hypothesis? (b) What is the null hypothesis? (c) What can you conclude about the psychology graduate program's claim? Use an alpha level = .052tailed. (d) What error might you be making by your conclusion in part (c)? (e) If you were only concerned with evaluating whether salaries increased, how would this effect the power of your experiment?A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 57 people she sampled who work out in the morning have a mean of 4.8 hours of exercise each week. The 56 people surveyed who exercise in the afternoon or evening have a mean of 4.2 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.8 hours for people who exercise in the morning and 0.3 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening. Step 1 of 2: Construct a 95 % confidence interval for the true difference between the mean amounts of time…
- You are a public health researcher. You want to see if the average age that a person starts smoking has changed over time. Smokers are recruited to answer a survey that asked at what age they started smoking. You divided participants into two groups, one is participants under the age of 30 and the second for participants over the age of 30. The average age for the two groups were compared. Which statistical test would be best to determine if there is a significant different in starting age between the two groups.1. In 1955, Life Magazine reported that a 25-year-old mother of 3 children, worked an average of 80 hours each week. Recently, some researchers have been studying whether the women’s movement has resulted in an increase in the work week hours for women (combining employment and at-home work). A study was done to find out if the mean work week has, in fact, increased. A random sample of 81 women were surveyed and the mean was 83 hours with a standard deviation of 10. Using a 95% confidence level, does the sample data support the researcher’s claim that the average number of weekly hours that women work, is greater than 80? a. What statistical test will you use to test this data ? b. State the null and alternative hypothesis. i. H0: ii. Ha: c. What are the confidence intervals? d. What is the value of the test statistic? e. What is the p-value? f. Circle/highlight the correct decision about the null hypothesis. Reject H0…The Economist collects data each year on the price of a Big Mac in various countries around the world. The price of a Big Mac for a sample of McDonalds restaurants in Europe in May 2009 resulted in the following Big Mac prices (after conversion to U.S. dollars):3.80 5.89 4.92 3.88 2.65 5.57 6.39 3.24The mean price of a Big Mac in the U.S. in May 2009 was $3.57. For purposes of this exercise, assume it is reasonable to regard the sample as representative of European McDonalds restaurants. Does the sample provide convincing evidence that the mean May 2009 price of a Big Mac in Europe is greater than the reported U.S. price? Test the relevant hypotheses using a = .05. Assume a normal distribution of the data. x = Ho: μ = Ha: Select an answer α= P-value = |: S= Based on the above we choose Question Help: Post to foru Submit Question (Put in the correct symbol and value) ✓ Select an answer Reject the null hypothesis Fail to reject the null hypothesis
- The researcher believes that happy workers are more productive workers. So he administers a job satisfaction scale to 100 randomly selected workers at his company. He also gets measures of their work productivity from the HR department (number of customers served). What is the researcher’s alternative hypothesis? a. There will be a difference between job satisfaction and worker productivity. b. The correlation between job satisfaction and worker productivity will be greater than zero. c. The most satisfied workers will be less likely to leave the company. d. There will be no relationship between job satisfaction and worker productivity.A marketing firm is doing research for an Internet-based company. It wants to appeal to the age group of people who spend the most money online. The company wants to know if there is a difference in the mean amount of money people spend per month on Internet purchases depending on their age bracket. The marketing firm looked at two age groups, 1818-2424 years and 2525-3030 years, and collected the data shown in the following table. Let Population 1 be the amount of money spent per month on Internet purchases by people in the 1818-2424 age bracket and Population 2 be the amount of money spent per month on Internet purchases by people in the 2525-3030 age bracket. Assume that the population variances are not the same. Internet Spending per Month 1818-2424 Years 2525-3030 Years Mean Amount Spent 65.5765.57 60.1260.12 Standard Deviation 21.6821.68 15.5215.52 Sample Size 1919 1818 Step 1 of 2 : Construct a 90%90% confidence interval for the true difference…What is Jackson’s percentile?
- Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent (due to personal reasons or illness) on some weekdays than on others. The firm examined a random sample of 150 employee absences. The distribution of these 150 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 150 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent (due to personal reasons or illness) on some weekdays than on others. The firm examined a random sample of 130 employee absences. The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Use the 0.10 level of significance for the test. (a)…A golf pro claims that his mean golf score is 63. A sportswriter wants to test the claim that his mean score is higher 63. Would this be a left-tailed, right-tailed, or two-tailed test?
