From the scores in subject EQT203 for 8 students, it was found that the mean score is 73 and the standard deviation is 5.15. Construct a 95% confidence interval estimate for the mean score of all students in the class. Ans: (68.69, 77.31)
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- A study of a local high school tried to determine the mean amount of money that each student had saved. The study surveyed a random sample of 42 students in the high school and found a mean savings of 3800 dollars with a standard deviation of 600 dollars. Determine a 95% confidence interval for the mean, rounding all values to the nearest whole number.Assume that adults have IQ scores that are normally distributed with a mean of 104.8 and a standard deviation 21.9. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top75%Assume that adults have IQ scores that are normally distributed with a mean of 103.8 and a standard deviation 15.7. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. The first quartile is
- Assume that adults have IQ scores that are normally distributed with a mean of 100.7 and a standard deviation 18.9. Find the first quartile, which is the IQ score separating the bottom 25% from the top to 75%A sample of 106 body temperatures was taken and the mean was 98.2 degrees F. The population standard deviation is 0.62 degrees. Use a 0.05 level of significance to test the claim that the average body temperature is actually different than 98.6 degrees F. Find the 95% confidence interval of the mean temperature and compare your results.A college alumni Organization sent a survey to all recent graduates to ask their annual income. 20% of the alumni responded, and their mean annual income was $40,000 with a standard deviation of $10,000. Explain why these data should not be used to construct a confidence interval for the mean annual income of all recent graduates.
- A study of a local high school tried to determine the mean number of text messages that each student sent per day. The study surveyed a random sample of 114 students in the high school and found a mean of 195 messages sent per day with a standard deviation of 73 messages. Determine a 95% confidence interval for the mean, rounding all values to the nearest whole number.A recent study of 28 randomly selected employees of a company showed that the mean ofdistance they traveled to work was 14.3 miles. The standard deviation of the sample was 2.0miles. Find the 95% confidence interval of the true mean.In a random sample of 2500 men being treated for obesity, the mean total cholesterol level is 175 with a standard deviation of 25. Construct a 95% confidence interval around the mean and interpret it. Use the context of the question please.
- Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation 19.3. Find the first quartile Q1,which is the IQ score separating the bottom 25% from the top 75%. The first quartile is?A sociologist found that in a sample of 45 retired men, the average number of jobs they had during theirlifetimes was 7.2. The population standard deviation is 2.3(a) Find the best point estimate of the mean.The best point estimate of the mean isThe average entrance exam score of a random sample of 35 freshmen students is 89.66 with a standard deviation of 18.28. Construct a 96% confidence interval for the true mean score of the freshmen students.