A sample 200 marbles from Company A had a mean diameter of .745 inches with a standard deviation of .021 inches. A sample 200 marbles from Company B had a mean diameter of .313 inches with a standard deviation of .012 inches. Construct a 99% confidence interval around the difference of means.
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A sample 200 marbles from Company A had a mean diameter of .745 inches with a standard deviation of .021 inches. A sample 200 marbles from Company B had a mean diameter of .313 inches with a standard deviation of .012 inches. Construct a 99% confidence interval around the difference of means.
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- A simple random sample of 37 men from a normally distributed population results in a standard deviation of 11.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: 0= 10 beats per minute O B. Ho: 0± 10 beats per minute H,: 0+ 10 beats per minute H,: 0= 10 beats per minute O C. Ho: o2 10 beats per minute H1: o< 10 beats per minute O D. Ho: 0 = 10 beats per minute H: o<10 beats per minuteThe manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 28 tires surveyed, the mean lifespan was 46500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? We should use a test. What are the correct hypotheses? H0: Ha: Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct conclusion would be:A simple random sample of 34 men from a normally distributed population results in a standard deviation of 8.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. ... a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. H: 0 10 beats per minute O B. H, o= 10 beats per minute H:o = 10 beats per minute H o<10 beats per minute O D. H, 62 10 beats per minute H o<10 beats per minute O C. H, o= 10 beats per minute H: 0 10 beats per minute b. Compute the test statistic. %3D (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as needed.) d. State…
- A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 29 tires surveyed, the mean lifespan was 46,700 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim? Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to the nearest whole number.) Lower Point= Upper Point= Point estimate=A simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=10 beats per minuteH1: σ≠10 beats per minuteB.H0: σ≠10 beats per minuteH1: σ=10 beats per minuteC.H0: σ≥10 beats per minuteH1: σ<10 beats per minuteD.H0: σ=10 beats per minuteH1: σ<10 beats per minutePart 2b. Compute the test statistic.χ2=enter your response here (Round to three decimal places as needed.)Part 3c. Find the…A simple random sample of 36 men from a normally distributed population results in a standard deviation of 11.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ≠10 beats per minute D. H0: σ=10 beats per minute H1: σ<10 beats per minute b. Compute the test statistic. χ2=48.73448.734 (Round to three decimal places as needed.) c. Find…
- A simple random sample of 46 men from a normally distributed population results in a standard deviation of 9.6 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.A simple random sample of 49 men from a normally distributed population results in a standard deviation of 7.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o = 10 beats per minute B. Ho: o+ 10 beats per minute H1: o< 10 beats per minute H1: o = 10 beats per minute O C. Ho: o2 10 beats per minute D. Ho: o = 10 beats per minute H1: o< 10 beats per minute H: o + 10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as needed.) d.…A simple random sample of 30 men from a normally distributed population results in a standard deviation of 8.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range , the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts a through d below . b. Compute the test statistic. x^2 =____ ( round to three decimal places as needed ) c. Find the p value ___ ( round to four decimal places as needed ) . d. State the conclusion
- A simple random sample of 49 men from a normally distributed population results in a standard deviation of 11.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o = 10 beats per minute O B. Ho: o# 10 beats per minute H1: 0+ 10 beats per minute H,:0 = 10 beats per minute O C. Ho: o2 10 beats per minute O D. Ho: 0= 10 beats per minute H1: o< 10 beats per minute H1:o< 10 beats per minuteA simple random sample of 42 men from a normally distributed population results in a standard deviation of 9.9 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. a. Compute the test statistic. chi squared equals (Round to three decimal places as needed.) b. Find the P-value. P-valueequals (Round to four decimal places as needed.)3) A SRS of 25 of the same model of car results in an annual mean maintenance cost of $575 and a standard deviation of $58. A car sales person claims the annual mean maintenance cost of that model is less than $600. Test the claim with a = .01.