A journal reported that the average screen time of teenagers is 6.77 hours per week. You gathered 30 independent samples from your class and obtained an average screen time of 7.8 hours per week, with a sample standard deviation of 2.9 hours. At alpha = 0.10, is this enough evidence to sa that the average screen time of your class is higher than the reported screen time?
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- The Sunny Dale Bank monitors the time required to serve customers at the drive-through window because it is an important quality factor in competing with other banks in the city. After analyzing the data gathered in an extensive study of the window operation, bank management determined that the mean time to process a customer at the peak demand period is 5 minutes, with a standard deviation of 1.5 minutes. Management wants to monitor the mean time to process a customer by periodically using a sample size of six customers. Assume that the process variability is in statistical control. Design an x-chart that has a type I error of 5 percent. That is, set the control limits so that there is a 2.5 percent chance a sample result will fall below the LCL and a 2.5 percent chance that a sample result will fall above the UCL. After several weeks of sampling, two successive samples came in at 3.70 and 3.68 minutes, respectively. Is the customer service process in statistical control?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 womenThe Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure of the patient's leg. A healthy ABI is 0.9 or greater. In a study, researchers obtained the ABI of 187 women with arterial disease. The results were a mean ABI of 0.86 with a standard deviation of 0.16. At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, women with arterial disease have an unhealthy ABI? Set up the hypotheses for the one-mean t-test. Hou Ha: H
- Tyson Corp. stock has returns of 3%, 18%, -24%, and 28% for the past four years. Based on this information, what is the 99% probability range for any one given year? Select one: Oa 24.5 to 34.3% O b.-61.7 to 74.2% OC.-8.4 to 11.7% Od.-16.4 to 28.9% e. 39.0 to 51.5%The mean vacancy rate for apartment rentals in the United States is 10% with a standard deviation of 4.6. An urban studies major obtained a sample of 15 rustbelt cities and found that the mean vacancy rate was 13.3%. Does the mean vacancy rate for these cities differs from the U.S. average? Use an alpha of .05 and a two tailed test.A research shows that the average time an adult spends on social media is 27 hours a week. A survey consisting of 20 randomly selected teenagers were asked of their average time spent on social media a week to prove a claim that these teenagers actually spend time more than adults. It was found that the teenagers' average time is 30 hours with a standard deviation of 3.47 hours. Test the claim that teenagers spend more hours on social media than adults at 5% alpha level. What kind of test will we use (z or t)? Blank 1 Is this a one-tailed or two-tailed test? Blank 2 What is the test statistic? Blank 3 Accept or Reject the null hypothesis? Blank 4 For numerical input, round off your answer to TWO (2) decimal places. Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer
- The General Electric Company clams that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacturer if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.8 and a standard deviation of 61.7. What is the approximate percentage of women with platelet counts between 192.1 and 315.5?The BDHS reported that the mean cholesterol level in 2020 for all adults was 203 in a certain area. Around a sample of 3,310 participants were questioned about the cholesterol levels who attended the last month survey and it is found that mean cholesterol level is 200.3 with a standard deviation of 36.8. Is there any statistical evidence of a difference in mean cholesterol levels in that area? Conduct the test at 1% level of significance. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Но : д — 203 Н : д + 203 Но : д + 203 Н] :д — 203 Но : и — 200.3 Ні : д > 200.3 Ho : µ = 200.3 H1 : µ < 200.3 C. After conducting the appropriate significance test, the test statistic was found to be -4.22. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.01 Fail to reject Ho, because -4.22 falls outside the…
- A professional racing team is holding tryouts at its test track. The team requires its drivers to have an average lap time of at most 133 seconds at its test track. The team will use a one sample z-test of significance to determine if they should hire a new driver. An amateur driver completes 8 timed laps of the test track with an average lap time of 136 seconds. If the standard deviation of all lap times at this track is 4.1 seconds, what is the value of the test statistic? Round your answer to two decimal places.The current machine for completing a specific operation in a manufacturing facility has a known average cycle time of 12.45 minutes. An engineer has identified a potential replacement machine from which 150 samples are taken. These 150 samples have an average cycle time of 10.32 minutes with a standard deviation of 5.14 minutes. The engineer must provide statistical evidence of whether the machine works at a five percent level of significance to management. What analysis would you complete to answer this question?
