When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain approximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of thirty 20-year-olds was taken, and the sample mean was found to be 107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. What are the degrees of freedom? O 99 100 29 O 49
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- Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On eleven different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 16.4 hours with a standard deviation of 6.4 hours. He measured the length of time his wife's cell phone battery lasted on seven different occasions and calculated a mean of 23.3 hours with a standard deviation of 4.2 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 1 of 2: Construct a 90 % confidence interval for the true difference in mean battery life between Steve's cell phone and his wife's. Round the endpoints of the interval to one decimal place, if necessary.At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.6. Fill in the blanks, 99.7% of GPAs are between ____ and ____. A. 1.8, 4.2 B. 3, 3.6 C. 2.4, 3.6 D. 1.2, 4.8Many scientists are concerned about changes in the ice thickness due to global warming. Suppose the historical mean thickness of the ice just off the coast of Barrow, Alaska, is 3.32 meters. A recent random sample (n = 28) of the ice thickness near Barrow was obtained. The sample mean ice thickness is 4.036 meters, sample standard deviation s = 2.8 meters. Assume the underlying distribution is normal. Conduct a hypothesis test to determine whether there is any change in the mean ice thickness. Use a = 0.01. Solve by both P-value method and reject region method.
- On the PSAT test taken by about 1.5 million high school juniors each year, the mean score on the reading portion of the test was 46.9, with a standard deviation of 10.9. The scores are normally distributed. If a student needed a score on this portion of the test that put them in the top 5% of scores nationally to qualify for a particular scholarship, what is the minimum score they must achieve?A sports dataset collected over ten years shows that the total number of baskets scored by an NBA player in a season depends on the amount of his yearly salary. The sample mean and standard deviation of salaries of studied players over this period are $1.1 million dolars and $0.4 million dollars, respectively. The sample mean and standard deviation of total number of scored baskets in a season are 701.7 and 57.1, respectively. The correlation coefficient between the yearly salary and the number of baskets is 0.75. Based on this data, fit a linear regression model and predict the total number of baskets that will be scored in a season by an NBA player with salary $3.9 million dollars a year. Write your answer as an integer, by rounding your solution to the nearest integer. Number of baskets in a season:Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The total scores follow a normal distribution with a mean of ?=25.0and standard deviation of ?=6.4. What is the probability that the population scores are between 18.1 and 30.9?
- In a study of facial behavior, people in a control group are timed for eye contact for a 5 minute period. They are normally distributed with a mean of 177 seconds and a standard deviation of 53 seconds. I need to find the percentage of times within 53 seconds of the mean of 177 seconds and round it one decimal place if needed.I wanted to do a market research study estimating the average hourly wage earned by childcare workers in the bay area. How large does my sample need to be in order to have a margin of error that is less than $0.50 with a 95% confidence in the result. Assume that the standard deviation of the wages is $2 per hour.A doctor is using a growth chart for baby girls that indicates a 12-month-old baby girl has a mean weight of 21.1 pounds with a standard deviation of about 2.29 pounds. Assume that the weights are approximately normally distributed. What proportion of 12-month-old baby girls weigh between 19.62 and 22.17 pounds?
- In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject. The study revealed that the overall physical activity of obese young adults has a mean of μ = 325 cpm and a standard deviation of a = 90 cpm. In a random sample of n = 100 obese young adults, consider the sample mean counts per minute, x. Click the icon to view the table of normal curve areas. a. Describe the sampling distribution of x. Find μ. Find o-. X 0-= (Type an integer or a decimal.) Describe the shape of the sampling distribution of x. ✩ OA. Skewed right OB. Approximately normal OC. Skewed left b. What is the probability that the mean overall physical activity level of the sample is between 300 and 310 cpm? P(300 ≤x≤310) = (Round to four decimal places as needed.) c. What is the probability that the mean overall physical…A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 67 companies reported in The Wall Street Journal found a sample mean tenure of 6.5 years for CEOS with a standard deviation of s = 4.9 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.02. Your hypotheses are: Hoiu 29 Hau<9 What is the test statistic for this sample? test statistic (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value - (Report answer accurate to 4 decimal places.) The p-value is. O less than (or equal to) a Ogreater than a This test statistic leads to a decision to. Oreject the null Oaccept the nul O fail to…Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On eight different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 19.7 hours with a standard deviation of 9.4 hours. He measured the length of time his wife's cell phone battery lasted on twelve different occasions and calculated a mean of 18.9 hours with a standard deviation of 5.3 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 1 of 2: Construct a 90 % confidence interval for the true difference in mean battery life between Steve's cell phone and his wife's. Round the endpoints of the interval to one decimal place, if necessary.