When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attainapproximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120bpm. A simple random sample of thirty 20-year-olds was taken, and the sample mean was found to be107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to concludethat the expected level is actually lower than 120 bpm.Choose the test statistic:MSGO F =MSE-HoO t=s/VnO x² =(0-E)?.z =Po(1-Po

Answered: approximately 60% of his or her maximum…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? Answer using the following format: a. H0: _______ b. Ha: _______ c. In words, CLEARLY state what your random variable X represents. d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate…
The mean Math ACT score was 20.5, with a standard deviation of 5.5. Sarah scored a 26 on the Math ACT. According to the empirical rule, what percent of students taking the Math ACT scored higher than Sarah? O 5.5% O 16% O 84% O 2.5%
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, 4.8
The mean GPA of all 45,038 students at Uneeda College is 3.21. A random sample of 50 GPAs from the school has a mean of 3.16. Is the value 3.21 a parameter or a statistic?
Chicago area doctors are concerned about their female patients' systolic blood pressure since an above average to high blood pressure can be an indicator of heart disease or other serious conditions. The average systolic blood pressure for a Chicago woman is 135mmHg , with a standard deviation of 7.5mmHg. Suppose a random sample of 100 women is selected. Identify each of the following:
Many 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.
In 1974, the mean height of a woman in the United States was 63.7 inches, with a standard deviation of 2.5 inches. What is the height of a woman who is taller than 88% of the rest of the sample? Enter your answer in inches rounded to one decimal place, e.g. 60.4.
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?
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 16 .Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?____%d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.____lbs
light examined data on employment and answered questions regarding why workers separate from their employes. According to the article, the standard deviation of the length of time that women with one job are employed during the first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left skewed variable. For that variable, do the following tasks. A. determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. Explain your reasoning B. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?
It is believed that nearsightedness affects 14% of children in a certain region. A school district tests the vision of 180 incoming kindergarten children. How many would be expected to be nearsighted? What is the standard deviation for the number of nearsighted children in such a group? You may assume that the children are independent of each other. The mean is? and the standard deviation is?

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