The following data represent the duration of eruptions (in seconds) for a random sample of 10 eruptions of the "Old Faithful" geyser in Yellowstone National Park. 105 119 97 108 125 118 88 107 97 113 a. Assuming all of the necessary conditions are satisfied, create a 96% confidence interval for the mean/average duration of all of Old Faithful's eruptions. (To show your work: Write down which calculator/program you are using and what values you are entering into the calculator.) b. Briefly describe the meaning of your interval from part (b). c. In general, if the size of the sample is increased, will the margin of error become larger, smaller, or stay approximately the same?

In a random sample of 29 residents living in major cities on the West Coast (Group 1) and 29 residents living in major cities on the East Coast (Group 2), each individual was asked their age. The results can be seen in the table below. The population standard deviation of the age in West Coast cities is known to be 11.2 years and in East Coast cities is known to be 9.3 years. Assume the populations are normally distributed. Run a test at a 0.05 level of significance to test if west coast cities are, on average, older. West Coast (Group 1) East Coast (Group 2) 25 34 47 45 18 37 38 20 30 19 50 26 52 79 61 46 40 29 22 55 34 23 35 35 55 36 60 51 68 41 20 50 33 32 36 38 37 26 42 44 60 19 71 28 54 27 20 18 45 30 52 20 34 22 57 43 64 62       Enter the P-Value - round to 4 decimal places. Make sure you put…

Consider a population with a mean of 150 and a standard deviation of s = 27.  A random sample of 36 was taken from this population.  Then the standard deviation of X-bar is:

See pictures for question D and E and (A, B and Cand was submitted on a different question. According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 44 months. A researcher for a consumer advocate group tests this by selecting 16 bulbs at random. For the bulbs in the sample, the mean lifetime is 47 months. It is known that the population standard deviation of the lifetimes is 5 months. Assume that the population is normally distributed. Can we conclude, at the 0.10 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 44 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below.