mple of 400 items is found to have mean of 82 and standard deviation is 18. Find 95% confidence interval for the mean of the population from which the sample is dra
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a random sample of 400 items is found to have
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- During the past year, the flight times between two cities was reported to have a population standard deviation of 20 minutes. What would the margin of error be if a sample of 64 was used for estimating the mean flight time between the two cities and with a confidence level of 95%The length of a doohickey is normally distributed with a standard deviation of 8 inches. If a random sample of 16 doohickeys has an average length of 30 inches find a 96% confidence interval for the mean of the lengths of the doohickeys.Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 4 inches. The heights of 6 randomly selected students are 69, 62, 68, 64, 61 and 68. x¯ = Margin of error at 99% confidence level = 99% confidence interval = [ , ]
- 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…An elementary school class ran 1 mile with a mean of 11 minutes and a standard deviation of 3minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1mile with a mean of 9 minutes and a standard deviation of 2 minutes. Kenji, a student in the class,ran 1 mile in 8.5 minutes. A high school class ran 1 mile with a mean of 7 minutes and a standarddeviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes. a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he? b. Who is the fastest runner with respect to his or her class? Explain whyA cell phone manufacturer has hired you to estimate the population mean of the battery lifetimes for all phones of their latest model. You decide to measure battery lifetime by recording the time it takes for the battery charge to run out while a tester is streaming videos on the phones continuously. Then you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume that the population standard deviation of the battery lifetimes for that cell phone model (using your method of measurement) is 2.42 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Take Sample Sample size: 0 Number of phones Point estimate: 0 45 Sample mean…
- The ages of a group of 138 randomly selected adult females have a standard deviation of 17.5 years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so leto= 17.5 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is (Round up to the nearest whole number as needed.)Aresearcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 14 blue crabs from Location A contain a mean of 194 milligrams of fish and a standard deviation of 39 milligrams. The stomach contents of a sample of 8 blue crabs from Location B contain a mean of 187 milligrams of fish and a standard deviation of 44 milligrams. Al a 0 10, can you support the researcher's claim? Assume the population variances are equal. Complete parts (a) through (d) below. (a) Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H-220 O B. Ho H-2 0 (b) Find the standardized test statistic for u - t=0.381 (Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer parts remaining Clear All Check Answer leste ppt_08_03.pptx Open file Show all P Type here to search 235 PM 2/21/2021 ts fho sk hz home end insert delet esc & @…A study showed that two years ago, the mean time spent per visit to Facebook was 20.1 minutes. Assume the standard deviation is 7 minutes. Suppose that a simple random sample of 103 visits was selected this year and has a sample mean of 22.1 minutes. A social scientist is interested to know whether the mean time of Facebook visits has changed. Use the a=0.05 level of significance and the p-value method with the table.
- According to a report published by the USDA 3 years ago, a typical American consumes an average of 26 pounds of ice cream per year. A researcher at the USDA would like to determine if the average amount of ice cream consumed each year by a typical American has changed since the original report was published. The researcher collected data from a random sample of 65 Americans and found that the mean amount of ice cream consumed each year by the sample was 25.54 pounds with a standard deviation of 1.64 pounds. Using α=0.02, test the hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 26 pounds. Use the p-value method. State the null and alternative hypothesis for this test. H0= H1= Determine the test statistic for the hypothesis test. Round the solution to four decimal places. =A random sample of 42 KU college students gave a mean age of their vehicles of 11.3 years and a standard deviation of 3.4 years. A separate random sample of 38 KU college employees gave a mean vehicle age of 9.2 years with a standard deviation of 3.1 years. Find a 90% confidence interval for the difference in the population mean of vehicle ages between students and employees, u1-u2. Use students as the first population.