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Using Correct Distribution. In Exercises 5–8, assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) Find the critical value tα/2, (b) find the critical value zα/2 or (c) state that neither the
7. Denver Bronco Salaries Confidence level is 99%, σ = 3342 thousand dollars, and the histogram of 61 player salaries (thousands of dollars) is shown in Exercise 6.
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- you calculated the sample data to construct a 90% and 99% confidence interval for the average diameter of ball bearings produced from this manufacturing process. These confidence intervals were created using the Normal distribution based on the assumption that the population standard deviation is known and the sample size is sufficiently large. The confidence intervals rounded to two decimal places are: 90%= ( 2.40, 2.64) and 99% = (2.34, 2.70) Interpret both confidence intervals. Make sure to be detailed and precise in your interpretation. It has been claimed from previous studies that the average diameter of ball bearings from this manufacturing process is 2.30 cm. Based on the sample of 50 that you collected, is there evidence to suggest that the average diameter is greater than 2.30 cm? Perform a hypothesis test for the population mean at alpha = 0.01. In your initial post, address the following items: Define the null and alternative hypothesis for this test in mathematical…arrow_forwardWhich confidence interval would lead you to Fail to Reject H0? Test value: 5 Confidence Interval: 4.5 – 6.3 Test value: 5 Confidence Interval: 5.6 – 6.9 Test value: 10 Confidence Interval: 13.1 – 15.1 Test value: 10 Confidence Interval: 9.2 – 9.8arrow_forwardDp4arrow_forward
- 11. An economist produced this graphic with an article stating that gas prices did not move much between November 2004 and July 2005. Explain why the graph does not give a fair picture of the changes in gas prices in this period. Gentle Fluctuation in Gas prices 250 200 150 100 50 2/15/05 5/15/05 11/15/04 MacBook Air F9 F8 DOO F6 F7 F4 F5 % & 7 8 9. 5 6arrow_forwardConfidence interval of the population mean is given by: X+2 x where X is the mean, s is the standard deviation and n is the sample size. Create a function called "summary" that lists mean, %15 trimmed mean and the 95% bounds of confidence interval for a random sample. Use the function to calculate the statistics for the given sample where x= (1200, NA, 1205, 1203, 1296,1304) 1. 2.arrow_forwardConstruct a 95% confidence interval of the population proportion using the given information. x=45, n=150 The lower bound is The upper bound isarrow_forward
- You are interested in finding a 90% confidence interval for the average number of days of class that college students miss each year. The data below show the number of missed days for 10 randomly selected college students. Round answers to 3 decimal places where possible. 3 11 12 4 9 4 12 4 12 11 b. With 90% confidence the population mean number of days of class that college students miss is between ( ) and ( ) days.arrow_forwardWhich confidence interval would lead you to Reject H0? Test value: 10 Confidence Interval: 8.2 – 9.8 Test value: 10 Confidence Interval: -2.1 – 12.9 Test value: 20 Confidence Interval: 19.8 – 20.7 Test value: 20 Confidence Interval: 15.1 – 25.1arrow_forwardCan you help me with this question from my Business Statistics class?arrow_forward
- f n=200 and X=80, construct a 99% confidence interval estimate for the population proportion.arrow_forwardRandom samples of female and male undergraduates are asked to estimate the number of times a week that they eat in the cafeteria. The data is shown below. Give a 95% confidence interval for the difference between mean female and male cafeteria visits. Assume that the population variances are equal. Females (Population 1): 6, 3, 2, 6, 6, 6, 5, 2, 3, 4 Males (Population 2): 5, 6, 6, 4, 3, 4, 4, 7, 7, 3 a) The critical value, rounded to three decimals, is: tcrit= . b) The confidence interval, in interval notation, is:arrow_forwardUse technology to construct the confidence intervals for the population variance o and the population standard deviation o. Assume the sample is taken from a normally distributed population. c= 0.99, s= 39, n 16 ..... The confidence interval for the population variance is (.). (Round to two decimal places as needed.)arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill