the 95% confidence interval for the mean was calculated to be What additional assumption is necessary for this confidence interval to be valid?
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The sample standard deviation is less than the degrees of freedom.
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The distribution of the sample means is approximately normal.
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None. The Central Limit Theorem applies.
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The population of total compensations of CEOs in the service industry is approximately
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- Australian Bureau of Statistics (ABS) reports that the average cost of household energy consumption is continuously increasing from the last ten years. A team of research students surveyed 120 middle-class families in order to understand current utility expenses. They also found that the average cost of those 120 households’ energy consumption is $1800 per year and the population standard deviation is $200. What is the margin of error at a 95% confidence level?Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 93 males and 107 females in their country. The mean and standard deviation of the spleen lengths for the males were 10.8 cm and 0.9 cm, respectively, and those for the females were 10.2 cm and 0.7 cm, respectively. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and females in the country? Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. O E. Ho: H1 H₂ Hai Hg = H2 Compute the test statistic. =(Round to two decimal places as needed.) Determine the critical value(s). t= OF. Ho: H1 H₂ Ha: H1 H₂ 0 (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion of the…A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.78, and computes the standard deviation of the sample to be $1.10. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ X OSO O>0 H₂ : O H₁ :0 0=0 0#0 (b) Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.08. Fill in the blanks to describe a Type I erro A Type I error would be (Choose…
- A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.78, and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H₁ that should be used for the test? H₂ : O H₁ :0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.08. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) when, in…Don't use the function key on the calculator, or any other technology to find the probabilities, and use Standard Normal Table. A study was conducted to determine whether or not magnets were effective in treating lower back pain. The control group was given a sham treatment ( similar to a placebo. Pain was measured using the visual analog scale. Reduction in pain level for the 100 patients given the magnet treatment was an average of 0.49, and a standard deviation of 0.96. Reduction in pain level for the 100 patients given the sham treatment was an average of 0.44, and a standard deviation of 1.4. Test at the 95% confidence level to determine whether or not the magnet therapy was effective. Use a two tailed test of hypothesis. Use the p-value method to form your conclusion. Clearly show what two values you are comparing to make your decision.Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
- b and c please.Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.a group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. what is the 90% confidence interval for the mean score, u, of all students taking the test?
- Kendra, the Human Resources manager for Moore Manufacturing wants to determine whether the employee retention rate is higher for the company's Eastern Division than it is for the Western Division. A random sample of 25 employees from Moore Manufacturing's Eastern Division (group 1) has an average time with the company of 4.8 years and a standard deviation of 1.1 years. A random sample of 23 employees from Moore Manufacturing's Western Division (group 2) has an average time with the company of 4.1 years and a standard deviation of 0.9 years. Conduct a hypothesis test at 0.02 significance. Round answers to 4 decimal places where appropriate. The Null and Alternative Hypothesis are: Ho: mew1 = mew2 and H1: mew1 > mew2. The appropriate distribution is Student's t. What is the test statistic? What is the p-value? State the appropriate conclusion based on the information.A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 190 graduating seniors and found the mean score to be 520 with a standard deviation of 87. Determine a 95% confidence interval for the mean, rounding all values to the nearest tenth.A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.16, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.43, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 OSO H :0 D=0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.16. Fill in the blanks to describe a Type I error. A Type I error would be the hypothesis that…
