A random sample of 40 professional basketball players indicated the mean height to be 6.45 feet with sample standard deviation of 0.31 feet. Find a 95% confidence interval. (3 decimal places) E = Lower limit = Upper limit =
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- Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 3.1071 (to 4 decimal places)Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have mean weight of 3400 grams and a standard deviation of 445 grams. If a 33-week gestation period baby weighs 2625 grams and a 41-week gestation period baby weighs 3225 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OA. The baby born in week 33 weighs relatively less since its z-score, OB. The baby born in week 33 weighs relatively less since its z-score, OC. The baby born in week 41 weighs relatively less since its z-score, OD. The baby born in week 41 weighs relatively less since its z-score, is smaller than the z-score of is larger than the z-score of is…A researcher claimed that for people that smoke cigarettes, the average number of cigarettes smoked per day is greater than 9. To test her claim, she selected a random sample of 36 smokers and found the mean number of cigarettes smoked per day was 10. The standard deviation of the population is 2.5 cigarettes. At a = 0.05, conduct all steps of a hypothesis test to test the researcher's claim.
- One year, the mean age of an inmate on death row was 38.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 36.9, with a standard deviation of 9.8. Construct a 95% confidence interval about the mean age. What does the interval imply? A Click the icon to view the table of critical t-values. Choose the correct hypotheses. Но (Type integers or decimals. Do not round.)An advertising agency that serves a major radio station wants to estimate the mean amount of time that the station’s audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes. What sample size is needed if the agency wants to be 99% confident of being correct to within ±5 minutes?Recent study stated that if a person chewed gum, the average number of sticks of gum he or she chewed daily was 8. To test the claim, a researcher selected a random sample of 36 gum chewers and found the mean number of sticks of gum chewed per day was 9. The standard deviation of the population is 1. a- At a = 0.05, is the number of sticks of gum a person chews per day actually greater than 8? Calculate the value of the test statistic and state the hypotheses, and conclusion. b- Find a 95% confidence interval for the average number of sticks of gum he or she chewed daily c- Explain what does “a 95% confidence” means.
- Noise levels at various area urban hospitals were measured in decibels. The mean of the noise levels in 99 corridors was 61.77 decibels, and the standard deviation of the population was 7.05. Find the upper boundary of the 95% confidence interval of the true mean. Only the final answer should be rounded-off to TWO decimal places.From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 38 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)Based on a sample of 50 US citizens, the American Film Institute found that a typical American spent around 78 hours watching movies. The standard deviation of the sample is 9 hours. Develop a 95% CI for the population mean number of hours spent watching TV last year. Interpret the interval found. How large a sample should be used to be 90% confident that the sample mean is within 1 hour of the population mean?
- A recent study of 25 randomly selected employees of a company showed that the mean of the distance they traveled to work was 14.09 miles. The standard deviation of the sample mean was 2.28 miles. Find the upper bound 95% confidence interval of the true mean. Round your answer to 3 decimal places.A study was conducted to determine if there is a difference in average reading speed between students in grade 4 and grade 5. The null hypothesis is that the means are equal, and the alternative hypothesis is that the means are not equal. A sample of 25 grade 4 students had an average reading speed of 300 words per minute with a standard deviation of 40. A sample of 30 grade 5 students had an average reading speed of 325 words per minute with a standard deviation of 35. What is the t-score and p-value for this hypothesis test?The time needed to find a parking space is normally distributed with a mean of 20 minutes and a standard deviation of 5.18 minutes. 90% of the time, it takes less than how many minutes to find a parking space?