A simulation model was replicated 100 times yielding a mean of 82.59 with variance of 17.66. Of the 100 replications, 11 replications yielded an outcome over a value of 100. What is the 90% confidence interval on the mean?
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A simulation model was replicated 100 times yielding a
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- According to a city's estimate, people on average arrive 1.5 hours early for domestic flights. The population standard deviation is known to be 0.5 hours. A researcher wanted to check if this is true so he took a random sample of 50 people taking domestic flights and found the mean time to be 2.0 hours early. At the 1% significance level, can you conclude that the amount of time people are early for domestic flights is more than what the city claims. Will you reject or not reject the null hypothesis and what is your conclusion in words? O Reject the null hypothesis; the city's claim is true. O Do not reject the null hypothesis; the city's claim is false and people arrive earlier than the city claims. O Reject the null hypothesis; the city's claim is false and people arrive earlier than the city claims. O Do not reject the null hypothesis; the city's claim is true.The patient recovery time from a particular surgical procedure was normally distributed with a mean of 5.6 days and a standard deviation of 2.1 days. What is the probability of spending more than three days in recovery? The 90th percentile for recovery time is?Tesla claims that it’s latest battery will take only 1 hour to recharge and the battery will last more than double the time of a normal battery. On average, their battery lasts for 70 months. A research group wanted to test that claim. They took a sample of 50 batteries and they found that on average a Tesla battery would last 67 months with a standard deviation of 3.5 months. Using a 3% significance level can you conclude that the mean life of all the Tesla batteries is less than 70 months. (Use the P values approach)
- When you get a surprisingly low price on a product do you assume that you got a really good deal or that you bought a low-quality product? Research indicates that you are more likely to associate low price and low quality if someone else makes the purchase rather than yourself. In a similar study, 16 participants were asked to rate the quality of low-priced items under two scenarios: purchased by a friend or purchased yourself. The results produced a mean difference of 2.6 and a SS = 135, with self-purchases rated higher. Is there evidence that the judged quality of objects significantly increase for self-purchases than for purchases made by others? Please use a one-tailed test with level of significance of 5%.The fan blades on commercial jet engines must be replaced when wear on these parts indicates too much variability to pass inspection. If a single fan blade broke during operation, it could severely endanger a flight. A large engine contains thousands of fan blades, and safety regulations require that variability measurements on the population of all blades not exceed ?2 = 0.18 mm2. An engine inspector took a random sample of 81 fan blades from an engine. She measured each blade and found a sample variance of 0.28 mm2. Using a 0.01 level of significance, is the inspector justified in claiming that all the engine fan blades must be replaced? (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) Find or estimate the P-value of the sample test statistic. P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.00 Find a 90% confidence interval…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 women
- A sample of 22 account balances of a credit company showed a mean customer balance of $4,300, but the marketing manager claimed that the mean balance for the population was $4450. The marketing manager did NOT have the population standard deviation, but the sample standard deviation was found to be $400. Use the p-value approach to conduct a full hypothesis test(all steps) that can be used to determine whether the mean of all account balances is significantly different from $4440. Let α = .05.Using traditional methods it takes 91 hours to receive an advanced flying license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 110 students and observed that they had a mean of 92 hours. Assume the population variance is known to be 36. Is there evidence at the 0.02 level that the technique lengthens the training time? State the null and alternative hypotheses.If the variance of Aeronautical Engineering board examination results is 144, what is the minimum number if takers needed to estimate the population mean with 95% confidence using a margin of error of 0.80.
- What value of z-alpha/2 is used in a 90% confidence interval for the population mean?A researcher decides to measure anxiety in group of bullies and a group of bystanders using a 23-item, 3 point anxiety scale. Assume scores on the anxiety scales are normally distributed and the variance among the group of bullies and bystanders are the same. A group of 30 bullies scores an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. A group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 8 on the anxiety scale. You do not have any presupposed assumptions whether bullies or bystanders will be more anxious so you formulate the null and alternative hypothesis based on that.A sample of 6 credit ratings for car loan applicants has a mean of 602 and a variance of 4356. Use the data toconstruct a 90% confidence interval for the population standard deviation of credit scores for all applicantsfor car loans. What is the Best point estimate and Include the written statement
