3.) The percentage of metal alloy used in metal casting is measured in 41 random selected parts. The sample standard deviation is s=0.42. Construct a 95% two-sided confidence interval for ό (variance)
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3.) The percentage of metal alloy used in metal casting is measured in 41 random selected parts. The sample standard deviation is s=0.42. Construct a 95% two-sided confidence interval for ό (variance)
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- Is there any difference in the variability in golf scores for players on a women's professional golf tour and players on a men's professional golf tour? A sample of 20 tournament scores from events in a tour for women showed a standard deviation of 2.4628 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2173. Conduct a hypothesis test for equal population variances to determine if there is any statistically significant difference in the variability of golf scores for male and female professional golfers. Use a = 0.10. State the null and alternative hypotheses. 2 H_: 2 Ho H₂01 H: #02 2 2 02 2 022 202 Ho: 1 H₂ 2 1 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We cannot conclude that there is a difference in the variability of golf scores for male and female professional golfers. Do not…Q9: Let an experiment be picking a random card from a deck of cards without replacement: Find the following probabilities. 1) If you pick four cards you get one cards of each suit 2.1) If you pick a poker hand the probability it is a straight with the lowest card equal to a 2 2.2) Find the probability of getting any straight in a poker hand 3) Find the probability that if you pick a poker hand you have all face cards 4) Find the probability that a poker hand has four of a kindIs there any difference in the variability in golf scores for players on a women's professional golf tour and players on a men's professional golf tour? A sample of 20 tournament scores from events in a tour for women showed a standard deviation of 2.4638 strokes, and a sample of 30 tournament scores from events in a tour for men showed a standard deviation of 2.2121. Conduct a hypothesis test for equal population variances to determine if there is any statistically significant difference in the variability of golf scores for male and female professional golfers. Use a = 0.10. State the null and alternative hypotheses. 2 O Ho: o 2702 H: 01 Ho: 01 02 キ02 2ァ022 して 2. キ02 2502 2 %3D Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. O Reject Ho: We can conclude that there is a difference in the variability of golf scores for male and female professional golfers. O…
- Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of womenA study was performed concerning risk factors for carotid-artery stenosis (arterial narrowing) among 264 men. The data reported is: Sample size Mean Standard deviationGroup 1: No stenosis 156 5.3 1.4Group 2: Stenosis 108 5.1 0.8 The test stastistic F is assumed to be 3.06 to check the equal variance. Question: Suppose researchers want to test if there is a significant difference in mean blood-glucose level between men with and without stenosis considering the critical F test is 1.35 with a equal variance (pooled), what is the test statistic for this test ?The breaking force of the cables produced by a manufacturer is 1800 lbs (lb) and the standard deviation is 100 lbs. It is claimed that the breaking force can be increased with a new technique in the manufacturing process. To test this claim, a sample of 50 wires is taken and tested. The average breaking force of the samples is found as 1850 lb. Can we support this claim at the 0.01 significance level?
- In a sample of 10 randomly selected black bears from northeast Pennsylvania, the sample mean was 214.1 pounds and the sample standard deviation was 51.1 pounds. Construct a 99% confidence interval estimate for the population standard deviation of all black bears in this region.Suppose the mean weight of King Penguins found in an Antarctic colony last year was 15.4 kg. In a sample of 35 penguins same time this year in the same colony, the mean penguin weight is 14.6 kg. Assume the population standard deviation is 2.5 kg. At .05 significance level, can we reject the null hypothesis that the mean penguin weight does not differ from last year? Use P-value approach.A sample of 20 automobiles has a pollution by-product release standard deviation of 2.5 ounces when one gallon of gasoline is used. Find the 95% confidence interval of the population variance. using chi table determine the confidence interval of the true population variance
- The statical skills level of students at a particular university has an unknown mean and known standard deviation of 10. A simple random sample of 100 students from this university is found to have the sample mean statistical skill of 100. Estimate the mean with 90%,95%, and 99% confidence intervals?What value of z-alpha/2 is used in a 90% confidence interval for the population mean?17 walleyes from Lake Erie were sampled and found to have a mean weight of 2.4 pounds with astandard deviation of .73 pounds. Find a 95% confidence interval for the weight of walleyes inLake Erie.