Check your blood pressure: In a recent study, the Centers for Disease Control and Prevention reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.4 mmHg and standard deviation 9.8 mmHg. (a) What proportion of women have blood pressures lower than 65 mmHg? (b) What proportion of women have blood pressures between 72 mmHg and 90 mmHg? (c) A diastolic blood pressure greater than 90 mmHg is classified as hypertension (high blood pressure). What proportion of women have hypertension? (d) Is it unusual for a woman to have a blood pressure lower than 63 mmHg? Round the answers to four decimal places. Part 1 of 4 The proportion of women who have blood pressures lower than 65 mmHg is Part 2 of 4 The proportion of women who have blood pressures between 72 mmHg and 90 mmHg is Part 3 of 4 The proportion of women who have hypertension is Part 4 of 4 It (Choose one) is / is not X X X unusual because the probability of a woman having blood pressure lower than 63 mmHg is

Speeding on the I-5, Part I. The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard 47 deviation of 4.78 miles/hour

Diastolic blood pressure is a measure of the pressure when arteries rest between heartbeats. Suppose diastolic blood pressure levels in women are normally distributed with a mean of 70.8 mm Hg and a standard deviation of 10.8 mm Hg. Complete parts (a) and (b) below. a. A diastolic blood pressure level above 90 mm Hg is considered to be hypertension. What percentage of women have hypertension? % (Round to two decimal places as needed.) b. If we randomly collect samples of women with 16 in each sample, what percentage of those samples have a mean above 90 mm Hg? (Round to two decimal places as needed.)

Based on research conducted by the government on people aged 25 to 34 years, on average, people in that age group spend $1,994 of their annual income on entertainment. Assume that the data are normally distributed with a standard deviation of $450. What percentage of the population in that age group spends between $2,500 and $3,000 per year for entertainment?

Say that an extraversion scale has a population mean of 40 and a standard deviation of 10. About what percent of extraversion scores fall between 30 and 50?

The time taken for a computer to boot up, X, follows a mound-shaped (i.e. bell-shaped) distribution with a mean of 30 seconds and a standard deviation of 5 seconds. What is the standardized score for a boot up time of... a. x = 30 seconds? b. x = 20 seconds? c. x = 35 seconds? 1 Z-Score = Z-Score = Z-Score = h

Diastolic blood pressure. In a study of 500 men, diastolic blood pressure was found to be approximately normally distributed, with a mean of 82 millimeters (mm) of mercury and standard deviation of 10 millimeters. a. Use the 68–95–99.7% rule to determine what percentage of the test group had a diastolic pressure between 72 millimeters and 92 millimeters of mercury. b. Use your answer to part a to determine how many men in the test group had a diastolic pressure between 72 millimeters and 92 millimeters of mercury.

2. Does helping another person affect the helper's life satisfaction? To find out, a researcher randomly sampled 64 people and asked each of them to help one other person that day. At the end of the day, each participant completed a standardized measure of life satisfaction. The mean score for the sample was 51.60. In the general population, the mean score on this measure is 50 and the standard deviation is 6. Test the hypothesis that helping affects life satisfaction (a = .05, two-tailed). You don't have to outline all 5 steps of hypothesis testing, but specify the properties of the comparison distribution, the critical value of the test statistic for rejecting the null hypothesis, the obtained test statistic, and the final decision. What are the lower and upper confidence limits for the 95% confidence interval of the mean life satisfaction of people who have helped someone else that day? Compute the standardized effect size.

Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 9.5 and standard deviation 2.4. For applicants who actually entered medical school, the mean score was 10.8 and the standard deviation was 1.8. (a) What percent of all applicants had scores higher than 11? ANSWER: % (b) What percent of those who entered medical school had scores between 9 and 12? ANSWER: %

Supposed the price of paid apps for a certain category is normally distributed with the mean of $3.5 and a standard deviation of $1. Based on the empirical rule, approximately 95% of the apps in that category will have the price between which two values (centred around the mean)?