A random sample of 15 vanilla coated bars has, on average, 245 calories with a standard deviation of 18 calories. Construct a 99% confidence interval for the mean calorie content of this product. Assume to be normally distributed.
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A random sample of 15 vanilla coated bars has, on average, 245 calories with a standard deviation of 18 calories. Construct a 99% confidence interval for the mean calorie content of this product. Assume to be
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- The average gold content from an ore sample in 36 different locations is found to be 2.6 grams per ton. a. Find the 95% and 99% confidence intervals for the mean gold content in that area. Assume that the population variance is 0.09.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 womenAssuming cholestorol data indicated a mean total cholesterol level for adult persons 20 years of age and older in the United States was 190 mg/dl; with a known standard deviation of 30 mg/dl. Use a known standard deviation of 30 mg/dl and the underlying population is normally distributed. What is the probability that a randomly selected adult, ≥ 20 years of age will have a cholesterol level < 180 mg/dl?
- A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 12 footballs were filled with helium to the recommend pressure and 15 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 267 yards with a standard deviation of 3 yards. The mean yardage for the air filled footballs was 241 yards with a standard deviation of 5 yards. Assume the populations are normal with equal variances. (a). Construct a 99% confidence interval for the mean difference in in yardage for the two types of footballs Lower bound (use 3 decimal places) Upper bound (use 3 decimal places) (b). What can you conclude about the sports writer's idea that helium footballs travel farther, on average? The helium footballs are no different than the other footballs, on average The other footballs travel farther on average than the helium footballs The helium footballs travel farther on average than the…A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation o of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes.A pizza delivery chain advertises that it will deliver your pizza in 25 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 25 minutes. For the simple random sample of 11 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 27.7 minutes with a standard deviation of 2.9 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.10 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho : µ = 25 25 Answer 国 Tables 国 Keypad Keyboard Shortcuts O
- In a random sample of 750 toner cartridges, the mean number of a toner cartridge can print is 4302 and the standard deviation is 340. Assume the distribution of data is normally distributed The company that makes the toner cartridges guarantees to replace any cartridge that prints fewer than 3282. Approximately how many of the cartridges in the sample would you expect to be replaced under the guarantee policy?In a random sample of eleven people, the mean driving distance to work was 18.1 miles and the standard deviation was 7.6 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret the results.A non-symmetric dataset has a mean of 200 and a standard deviation of 15. Find an upper bound for the proportion of data points that are either greater than 230 or less than 170.
- Scores on a standarized exam are known to follow a normal distribution with a standard deviation of 5. A researcher finds a random sample of 25 exam scores has a mean score of 72. Use this to find a 88% confidence interval for the mean exam score of all students taking the exam.A random sample of 25 brand A cigarettes shoed an average nicotine content of 5 milligram, while a sample of 40 brand D cigarette showed an average nicotine of 4.8 milligram. If the standard deviation of nicotine is 1.6 milligrams, would you say that brand D has a lesser nicotine content? Use a 0.01 level of significance. Assume the distribution of nicotine content to be normal.pizza delivery chain advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 7 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 39.4 minutes with a standard deviation of 5.5 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.025 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.
