Example 6. The quality control manager of a tyre company has sample of 100 tyres and has found the mean life time to be 30,214 km. The population s.d. is 860. Construct a 95% confidence interval for the mean life time for this particular brand of tyres.
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- A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200 people and found it to be 10 ± 4. Therefore, we may conclude:An agriculture researcher plants twenty five plots with a new variety of corn. The average yielded for these plots is x-bar = 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with unknown mean and standard deviation = 10 bushels per acre. A 90% Confidence interval for mean is?A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 81 and standard deviation ? = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)
- A sample of size 50 will be drawn from a population with mean 76 and standard deviation 14. Find the 69th percentile of x.Suppose a population is known to be normally distribted with a mean, μ, equal to 116 and a standard deviation, σ,equal to 14. Approximately what percent of the population would be between 88 and 130?A random sample of 500 observations yields x̅ =400 and s=50. What is the 95% confidence interval for the population mean?
- The president of a large university wishes to compare the standard deviation of the ages of students presently enrolled to previous years. The distribution of ages has been approximately normal. Find the 90% confidence interval for the population standard deviation of the student ages of the University. A random sample of 20 university students has a standard deviation of 6.1 years in a mean of 23.8 years what is the confidence interval of the population standard deviation?Find the critical value for the population mean if there are 135 cats in a sample and you want an 87% confidenceThe Abendigo Division of Block C Enterprises has a product designed to operate for 1000 hours with a failure rate of 2.2%. Calculate the Mean Time to Failure.
- QUESTION 4 Sara wants to determine the mean play time of media clips on her smartphone. A random sample of 36 media clips revealed a mean of 155 minutes and a standard deviation of 16 minutes. Find the upper confidence limit (UCL) of the 93% confidence interval estimate for the mean play time of media clips on Sara's smartphone. Round your answer to two decimal places.The population mean will always be the same as the mean of all possible that can be computed from samples of size 27. True O FalseA ecologist wishes to estimate the mean lifespan for a specific species of bird. Assume that bird lifespan is normally distributed and that each bird's lifespan is independent of all others. The researcher analyzes a random sample of n=7 deceased birds to find out how long they lived for. It is found that the mean lifespan in the sample is y= 5 4 years with standard deviation s=13 years. Choose the correct formula for a 95% confidence interval for the true mean lifespan. X± to.975,n O xt to.975,n-1 n-1 O none of these X+ Z0.975 O x+ to.975,n-1' O xt to.975,n-15