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Using Correct Distribution. In Exercises 5–8, assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) Find the critical value tα/2, (b) find the critical value zα/2 or (c) state that neither the
7. Denver Bronco Salaries Confidence level is 99%, σ = 3342 thousand dollars, and the histogram of 61 player salaries (thousands of dollars) is shown in Exercise 6.
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- Data for question on screenshot. For each of the surveys, include the Summary Statistics and your Confidence Level/Alpha. At least 90% Confidence is recommended for all 3. Television Survey: In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using your class (or any 20 – 30 people) as the sample, conduct a hypothesis test to determine if the average for students at your school is lower. Do not make up your data. Write your answers in the tables below. Sample Mean Sample Standard Deviation Confidence Level What is your null hypothesis? What is your alternative hypothesis, ? In words, define the random variable. Hint: ___ = ____ The distribution to use for the test is… Determine the test statistic using your data.arrow_forwardASSESSMENT: A. Classify the random variables as discrete or continuous. 1. number of defective computers produced by a manufacturer 2. weight of newborns each year in a hospital 3. amount of paint utilized in a building project 4. average amount of electricity consumed per household per month 5. number of deaths per year attributed to lung cancerarrow_forwardDerive the mean and variance of the t distribution.arrow_forward
- Aspirin II: Safety Considerations Regarding the experiment in the data frame Aspirin from the abd package, the researchers wanted to know whether or not taking aspirin affects one's risk of developing cancer. Recall that they defined their parameters as follows: p1 = the proportion of ALL individuals who would develop cancer, if all of them were to take aspirin like the subjects in the Aspirin group did. p2 = the proportion of ALL individuals who would develop cancer, if all of them were to take a placebo, like the subjects in the placebo group did. They ran the code for a two-sided significance test and got the following results: ## ## ## Inferential Procedures for the Difference of Two Proportions p1-p2:## cancer grouped by treatment ## ## ## Descriptive Results:## ## yes n estimated.prop## Aspirin 1438 19934 0.07214## Placebo 1427 19942 0.07156## ## ## Inferential Results:## ## Estimate of p1-p2: 0.0005805 ## SE(p1.hat - p2.hat): 0.002586 ## ## 95%…arrow_forward5.3 2.4 3.5 5.2 (Reference: Crime in the United States, Federal Bureau of Investigation.) Assume that the crime rate distribution is approximately normal in both regions. i, Use a calculator to verify that x 3.51, s, = 0.81, x, = 3.87, and 0.94. i/ Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than that in New England? Use a = 0.01. %3D Medical: Hay Fever A random sample of n, = 16 communities in western Kansas gave the following information for people under 25 years of age. x,: Rate of hay fever per 1000 population for people under 25 120 128 92 123 112 93 86 06 125 95 125 122 88 L6 Arandom sample of n, = 14 regions in western Kansas gave the following information for people over 50 years old. x,: Rate of hay fever per 1000 population for people over 50 95 110 97 112 88 85 110 115 114 68 96 (Reference: National Center for Health Statistics.) i. Use a calculator to verify that x 109.50, s, - 15.41, x2 - 99.36, and sh 11.57. ii. Assume that the…arrow_forwardRandom Variable Name: Section:, I. Classify the following random variables as discrete or continuous. 1. X= the number of mobile phones sold in one week in the AB store 2. Y= the weights in pounds of newly born babies in a hospital nursery 3. X the number of cars in a parking lot every noon 4. Y= the number of gifts received by a birthday celebrator 5. X= the length of time spent playing video games in minutes 6. Y= the number of students enrolled in Grade 11 in your school 7. X=the number of points scored in a basketball game 8. Y= the number of employees in a call center who are Bachelor of Science in Nursing graduates 9. X=the heights of 10. Y= the amount of money spent by a family in one month in your school in meters Answers: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.arrow_forward
- Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.20 . A sample of 40 U.S. adults is chosen. Use Excel as needed. Part: 0 / 5 0 of 5 Parts Complete Part 1 of 5 (a) Is it appropriate to use the normal approximation to find the probability that more than 45% of the people in the sample have high blood pressure? If so, find the probability. If not, explain why not. It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one) 10 .arrow_forwardAssume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At α=0.01, is there enough evidence to conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below.arrow_forwardConsider the following data x -7,-6,-5,-4,-3 P(X=x) 0.2,0.2,0.2,0.2,0.2 Find the expected value E(X) Round your answer to one decimal place.arrow_forward
- Suppose data shows that only 50% of breast cancer patients can survive more than 5 years. You suspect the claimed survival rate is too low, so you'd like to conduct a study to examine this situation. What is the null and alternative hypothesis in this situation? Let p represent the true percentage of breast cancer patients who survive more than 5 years. Ho p=0.5 v.s. Ha p > 0.5 Ho p=0.5 v.s. Ha : p 0.5arrow_forwardThe acceptable level for insect filth in a certain food item is 2insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item is obtained and results in a sample mean of x=2.5 insect fragments per ten-gram portion. Complete parts (a) through (c) below.arrow_forwardB. What is the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute? The best predicted temperature when a bug is chirping at 3000 chirps per minute is____°F. C. What is wrong with this predicted value? The first variable should have been the dependent variable. It is unrealistically high. The value 3000 is far outside of the range of observed values. It is only an approximation. An unrounded value would be considered accurate. Nothing is wrong with this value. It can be treated as an accurate prediction.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill