mg and a standard deviation of 0.4 dL mg . Individuals with calcium levels in the bottom dL Calcium levels in people are normally distributed with a mean of 9.5 15% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. mg dL

The time to complete an exam is approximately Normal with a mean of 48 minutes and a standard deviation of 7 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. H = 48 o = 7 H- 30 H-20 μ+2σ μ+ 3

Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. Which graph represents P15? Choose the correct graph below. O A. 1 P15 Q The bone density score corresponding to P15 is (Round to two decimal places as needed.) B. P15 Q Q -C*** O C. A P15 O D. A P15 Q

Sketch a standard normal curve and shade the area that lies to the left of a. 2.15, b. - 1.61, c. 0, and d. - 7. Then determine the area under the standard normal curve that lies in the area of interest for each part. Click here to view page 1 of the normal distribution table. Click here to view page 2 of the normal distribution table. c. Sketch a standard normal curve and shade the area under the curve that lies to the left of 0. Choose the correct graph below. A. 0 Z G OB. 0 The area to the left of 0 is (Round to four decimal places as needed.) O C. -1 0 O D. -1 0 Time Remaining: 01:09:16 Next

K mly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P2. the 2nd percentile. This is the bone density score separating the bottom 2% from the top 98%. Which graph represents P₂? Choose the correct graph below. O A. OB. The bone density score corresponding to P₂ is. (Round to two decimal places as needed.) P₂ O C. P2 Q O D. P₂

Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.0072. 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. Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING...       z=enter your response here ​(Type an integer or decimal rounded to three decimal places as​ needed.)

Answer the question. Show all the steps, not only the final answer. if possible, sketch a little diagram to clearly see the area under the normal curve. 1. A major research study concluded that the mean number of times that adolescents had engaged in vandalism during the previous 12 months was 3.5 times. We believe the true population mean to be less than this. After collecting our own sample of 36 adolescents, we find that the mean number of times they have vandalized property during a l-year period wasX̅ = 2.9 with a standard deviation equal to .7. Perform all ofthe procedures necessary for conducting a hypothesis test based on our assumption. What do you conclude? Set your alpha level at .05.

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. P 25 Click to view page 1 of the table. Click to view page 2 of the table. The z-score that corresponds to P25 is (Round to two decimal places as needed.)

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. P 48 Click to view page 1 of the table. Click to view page 2 of the table. The Z-score that corresponds to P48 is (Round to two decimal places as needed.)

The time to complete an exam is approximately Normal with a mean of 45 minutes and a standard deviation of 4 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes.. μ-20 μισ μ-36 μ-20 μ μ+o μ=45 σ = 4 μ+20 μ+30