4. You collected data from a normally distributed random process. Your computed sample mean is 12 using 15 measurements, but you know the population standard deviation exactly and it is 1.25. Define a prediction interval that you are 80% sure will encompass the next sample. NOTE: Since you have the population standard deviation, you need to find a "z" value instead of a "t" value on this problem.
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- A researcher is 95% confident with the estimate of a sample, of standard deviation of 10,that the error will not be more than 3. Step 1. What are the given? Step 2. What is the sample size needed by the researcher?This problem is fill in the blank. Just choose the correct answers. Thank you for your help A scientist has read that the mean birth weight, μ, of babies born at full term is 7.2 pounds. The scientist, believing that μ is less than this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 6.9 pounds and the standard deviation to be 1.7 pounds. Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to. (choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to. (Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. In the context…A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 36,000 miles and a standard deviation of 2100 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires? Click to view page 1 of the table. Click to view page 2 of the table. CHE Tires that wear out by miles will be replaced free of charge. (Round to the nearest mile as needed.)
- A health care professional wishes to estimate the birth weights of infants. How large a sample must be selected if she desires to be 95% confident that the true mean is within 10 ounces of the sample mean? The standard deviation of the birth weights is known to be 4 ounces.A marketing specialist wants to estimate the average amount spent by visitors to an online retailer's newly-designed website. From the data in a preliminary study she guesses that the standard deviation of the amount spent is about 14 dollars. Question 1. How large a sample should she take to estimate the mean amount spent to within 5 dollars with 95% confidence? (Round your answer up to the next largest integer).You suspect that people living in urban areas produce on average more garbage (X)than those living in rural areas (Y). To verify this opinion, you draw two samples and collect information on the amount of garbage produced in a month (measured in kilos). The first sample, made of 8 subjects living in an urban area, provides a sample mean equal to 40.5 and a sample standard deviation equal to 5.6; in the second sample, made of 10 subjects living in rural areas, the sample mean is 35.6 and the sample standard deviation is 7.5. It is assumed that the two populations are normal with the same unknown variance.Test the null hypothesis that the two population means are equal against a one-sided alternative according to which people living in urban areas produce on average more garbage than those living in rural areas. Use a 1% significance level.
- A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. Given a population mean of 165cm, how many standard deviations would a sample mean of 163cm be from the true value? Give your answer rounded to two decimal places.P3. Show that the mle of unknown standard deviation when the mean is known is different from the sample standard deviation when the random sample is taken from a normal population characterized by two parameters, mean and variance. Which estimator is unbiased? Justify your answer. Show that a sample mean is a minimum variance unbiased estimator of the mean of a normal population with known variance.Suppose that human pulse rates for children over 10 and adults are approximately normally distributed with a mean of 78 and standard deviation of 12. Suppose as random.Answer the question following question, rounding your answers to 4 decimal places.
- B. Solve the following problems. 1. The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hour and is normally distributed, how long does a worker spend on the computer if his z-score is 1.2? 2. Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of a household that generates 22 pounds of newspaper. 3. The Candelaria Automobile Association reports that the average time it takes to respond to an emergency call is 30 minutes. Assume the variable is normally distributed and the standard deviation is 4.5 minutes. How long will a call be responded if it has a z-score of 0.75? d 4. The average monthly salary for newly - hired teachers is P21,945. If the distribution is approximately normal with a standard deviation of P3250. How much will a teacher earn in a month if his salary has a z-score of 1.15?You are given the following information: sample mean is equal to 103.55, population standard deviation is equal to 14.88, sample size is equal to 111 and the national average is equal to 109. What would be the value of z-observed?A large population of 5,000 students take a practice test to prepare for a standardized test. The population mean is 140 questions correct, and the standard deviation is 80. What size samples should a researcher take to get a distribution of means of the samples with a standard deviation of 10? provide the solution of above questions