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Home Question Bank Math Statistics Archive 2024 December 09

Statistics Questions from Dec 09,2024

Browse the Statistics Q&A Archive for Dec 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A data set includes 106 body temperatures of healthy adult humans having a mean of \( 98.9^{\circ} \mathrm{F} \) and a standard deviation of \( 0.63^{\circ} \mathrm{F} \). Construct a \( 99 \% \) confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of \( 98.6^{\circ} \mathrm{F} \) as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean \( \mu \) ? \( \square^{\circ} \mathrm{F}<\mu<\square^{\circ} \mathrm{F} \) (Round to three decimal places as needed.) A data set includes 106 body temperatures of healthy adult humans having a mean of \( 98.9^{\circ} \mathrm{F} \) and a standard deviation of \( 0.63^{\circ} \mathrm{F} \). Construct a \( 99 \% \) confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of \( 98.6^{\circ} \mathrm{F} \) as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean \( \mu \) ? \( \square^{\circ} \mathrm{F}<\mu<\square^{\circ} \mathrm{F} \) (Round to three decimal places as needed.) What does this suggest about the use of \( 98.6^{\circ} \mathrm{F} \) as the mean body temperature? A. This suggests that the mean body temperature is higher than \( 98.6^{\circ} \mathrm{F} \). B. This suggests that the mean body temperature is lower than \( 98.6^{\circ} \mathrm{F} \). C. This suggests that the mean body temperature could very possibly be \( 98.6^{\circ} \mathrm{F} \). Find the range for the set of ACT test score data: \( 21,28,16,19,19 \). 만 b. Use the points \( (8,12,800) \) and \( (14,14,420) \) to write the equation of the line of fit in slope-intercept form. \( y=0.34 \) c. If the trend continues, what will be the approximate annual cost of raising a child born in 2013 at age 17 ? about \( \$ \) b. Use the points \( (8,12,800) \) and \( (14,14,420) \) to write the equation of the line òf fit in slope-intercept form. \( y=\square \) 8. How many adults must be randomiy selected to estimate the mean FICO (credit rating) score of working adults in the United states? we want \( 95 \% \) conifidence that the sample mean is within 3 point of the population mean, and the population is normally distributed with standard deviation of 68 . Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5 . Assume that the groups consist of 27 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 27 births. The value of the mean is \( \mu=\square \). (Type an integer or a decimal. Do not round.) The value of the standard deviation is \( \sigma=\square \) (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of \( \square \) girls or fewer are significantly low. (Round to one decimal place as needed.) Values of \( \square \) girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 21 girls a result that is significantly high? What does it suggest about the effectiveness of the method? The result \( \square \) significantly high, because 21 girls is (Round to one decimal place as needed) 7. Supposed you had an sps of 36 students from Bellevve lollege curd you wanted to find a \( 90 \% \) confidence interval for the true average age of students at BC. What value of t* would be used? Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. \[ \mu=39 \text { and } \sigma=8 ; n=4 \] Answer 2 Points The mean cost of a five pound bag of shrimp is 50 dollars with a standard deviation of 8 dollars. If a sample of 56 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 0.9 dollars? Round your answer to four decimal places. AnswerHow to enter your onswer (opens in new window) 2 points
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