Dress Shirts In a previous study conducted several years ago, a man owned on average 14 dress shirts. The standard deviation of the population is 2. A researcher wishes to see if that average has changed. He selected a random sample of 44
men and found that the average number of dress shirts that they owned was
13.9. At α=0.05, is there enough evidence to support the claim that the average has changed? Assume that the variable is
P-value method with a graphing calculator.
Find the P-value. Round the answer to at least four decimal places.
P-value=
Student Expenditures The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 174 randomly selected students resulted in a sample
Find the P-value. Round the answer to at least four decimal places.
P-value=
Weight Loss of Newborns An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 33 newborn babies has a mean weight loss of 6.6 ounces. The population standard deviation is 1.8 ounces. Is there enough evidence at
α=0.05 to support his claim? Assume that the variable is normally distributed. Use the
P-value method with a graphing calculator.
P-value=
Daily Driving The average number of miles a person drives per day is
- 24. A researcher wishes to see if people over age 60 drive less than 24
miles per day. She selects a random sample of 32 drivers over the age of
60 and finds that the mean number of miles driven is 22.9. The population standard deviation is 3.1 miles. At α=0.05, is there sufficient evidence that those drivers over
60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the P-value method with a graphing calculator.
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- The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of ¯x?arrow_forwardUse z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.arrow_forwardUse z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallestarrow_forward
- Assume that you have been provided the following information for a sample of cars The covariance between weight and miles per gallon is equal to -4.9 pound-miles. The standard deviation of the cars' mileages is 7.75. The standard deviation of the cars' weights is 0.94. Estimate the correlation coefficient to the first decimal place.arrow_forwardUse z scores to compare the given values.Based on sample data , newborn males have weights with a mean of 3242.5 g and a standard deviation of 687.2 g . Newborn females have weights with a mean of 3085.4 and a standard deviation of 829.1 g . Who has the weight that is more extreme relative to the group from which they came : a male who weighs 1500 g or a female who weighs 1500 ?arrow_forwardA standardized exam's scores are normally distributed. In a recent year, the mean test score was 1539 and the standard deviation was 315. The test scores of four students selected at random are 1940, 1290, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.) The Z-score for 1290 is. (Round to two decimal places as needed.) The Z-score for 2240 is. (Round to two decimal places as needed.) The Z-score for 1420 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. CD (Use a comma to separate answers as needed.) OB. None of the values are unusual.arrow_forward
- Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3282.7 g and a standard deviation of 689.7 g. Newborn females have weights with a mean of 3017.5 g and a standard deviation of 722.2 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1500 g or a female who weighs 1500 g? Since the z score for the male is z = more extreme. (Round to two decimal places.) and the z score for the female is z = [ =, the has the weight that isarrow_forwardThe average price of a sample of 12 bottles of diet salad dressing taken from different stores is $1.43. The standard deviation is $0.09. The average price of a sample of 16 low-calorie frozen desserts is $1.03. The standard deviation is $0.10. At α = 0.05, is the price of salad dressings significantly higher than the price of frozen desserts?arrow_forwardExam scores in a large class are normally distributed with a mean of 15.7 and a standard deviation of 7.43. Rana's score on the exam was 9, and Sara's score was 25. The absolute value for the difference between the two ladies z-score is O a. 4.5760 O b. 2.4226 O c. 1.2517 O d. 2.1534arrow_forward
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