Use technology to help you test the claim about the population​ mean, μ​, at the given level of​ significance, α​, using the given sample statistics. Assume the population is normally distributed. ​Claim: μ>1230​; α=0.07​; σ=205.81. Sample​ statistics: x=1263.09​, n=250   Determine the​ P-value. P= _________ ​(Round to three decimal places as​ needed.)

The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. (a) Find the sample mean. x=(Round to two decimal places as needed.) Clear all 2.3 3.1 2.9 1.6 0.9 4.0 2.4 1.3 3.6 0.1 2.4 3.3 E € 413 PM

P Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Dra a graph and find the bone density test scores that can be used as cutoff values separating the lowest 17% and highest 17%, indicating levels that are too low or too high, respectively. Sketch the region. Choose the correct graph below. O A. OB. ..... OC. Dz "z- The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.) OD. étv MacBook Pro Next 6.7530.758O. 21 rer website name V & 9 207 30 ) 6 ( | H 99 To

Use the standard normal table to find the​ z-score that corresponds to the given percentile. If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores. If​ convenient, use technology to find the​ z-score. P80

The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. 2.4 3.2 2.6 D 1.9 0.8 4.0 Assume the population is normally distributed. 2.2 1.5 3.6 0.5 2.3 3.4 (a) Find the sample mean. X = x= (Round to two decimal places as needed.)

A  Find the standard error of the mean for each sampling situation (assuming a normal population).  (Round your answers to two decimal places). 1.  O=56, n=4 2. O=56, n=16 3.  O=56, n=64 B.  What happens to the standard error each time you quadruple the sample size? The standard error is ________ by half.

Use the given data values​ (a sample of female arm circumferences in​ centimeters) to identify the corresponding z scores that are used for a normal quantile​ plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile​ plot, then determine whether the data appear to be from a population with a normal distribution.                           44.2​, 34.5​, 38.2​,  32.7​,  40.9   Part A- List the z scores for the normal quantile plot.     Part B- Identify the coordinates of each point in the normal quantile plot. Use ordered pairs for the form​ (x,y), where x is the sorted arm circumferences in ascending​ order, and y is the corresponding z score.     Part C- Do the data come from a normally distributed​ population?

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 22.3. You would like to be 98% confident that your estimate is within 3 of the true population mean. How large of a sample size is required? Do not round mid-calculation. n =

Listed below are time intervals (min) between eruptions of a geyser. The "recent" times are within the past few years, and the "past" times are from 1995. Does it appear that the variation of the times between eruptions has changed? Use a 0.05 significance level. Assume that the two populations are normally distributed. E Click the icon to view the sample data. - X Sample data Identify the test statistic. The test statistic is (Round to two decimal places as needed.) Identify the P-value Recent 79 95 89 75 55 97 66 90 66 86 81 87 Past 92 85 94 99 68 82 89 98 84 98 92 91 The P-value is (Round to three decimal places as needed.) Print Done What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to support the claim that the variation of the times between eruptions has changed. O B. Reject Ho. There is insufficient evidence to support the claim that the variation of the times between eruptions has changed. OC. Fail to reject Hg. There is sufficient…