Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsle 60 65 70 ア5 80 85 90 95 100 105 110 115 120 125 130 135 140 A) 0.7303 B) 0.7745 C) 0.7938 D) 0.7619

A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 feet and the standard deviation 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what proportion of the trees should we expect to be between 4.0 and 4.4 feet tall? A) 0.02  B) 0.07   C) 0.91  D) 0.98

Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)

SAT verbal scores are normally distributed with a mean of 450 and a standard deviation of 120. Determine what percent of the scores lie between 450 and 570. 34.1% 34.1% 13.6% 13.6% O a) 68.2% O b) 49.9% c) 47.5% d) 34.1%

Assume that adults have IQ scores that are normally distributed with a mean of 102.1 and a standard deviation 16.3. Find the first quartile Q1​, which is the IQ score separating the bottom​ 25% from the top​ 75%. (Hint: Draw a​ graph.)

The table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At a = 0.10, can you conclude that at least one mean vacuum cleaner weight is different from the others? Click the icon to view the vacuum cleaner weight data. Let μBU, BLU, and μTC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? A. Ho: At least one of the means is different. Ha: MBUHBLUPTC B. Ho: "BU HBLU HTC # Ha: MBUHBLUPTC C. Ho: MBUHBLU = HTC Ha: At least one of the means is different. D. Ho: MBU - HBLU = μTC Ha: HBU #BLU HTC What is the test statistic? F = 12.56 (Round to two decimal places as needed.) What is the P-value? P-value = 0.000624 (Round to three decimal places as needed.)

The table shows the scores of 20 people who took a paramedics licensing test. Find the mean and standard deviation for these data. The mean of the data is The standard deviation is approximately Round to three decimal places as needed.) Score Frequency 7 1 3 6 2 1 (.... NKR888 74 75 79 86 98 0

Just do 2 and 3 please.

Assume that the distribution of scores on a college entrance exam is normally distributed with a mean of 490 and a standard deviation of 43. For each score in the table below, convert the raw score into a corresponding z-score. original score Z-score 621 398 586 710

Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard deviation 22.5. Find the first quartile ​Q1, which is the IQ score separating the bottom​ 25% from the top​ 75%. (Hint: Draw a​ graph.)