**Calculating the 80% Confidence Interval of Mean Body Temperature**The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:\[98.8, 97.5, 98.6, 97.2, 98.9, 99, 96.8, 97.8, 98, 97.1\]Assume body temperatures of adults are normally distributed. Based on this data, find the 80% confidence interval of the mean body temperature of adults in the town. Enter your answer as an **open-interval** (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population.\[80\% C.I. = (\_\_\_, \_\_\_)\]---Use this information to compute the 80% confidence interval for the mean body temperature. Make sure to show your work and intermediate steps for educational purposes. Then input your final answer in the provided fields. When ready, click the "Preview" button to check your work.Happy learning!---**Notes for Educators:**- Ensure students understand the formulation for calculating confidence intervals.- Explain the importance of using a normal distribution assumption in determining confidence intervals.- Provide examples of how different sample sizes and confidence levels affect the interval range.- Encourage the use of statistical software or calculators to aid in complex calculations.---**Practice Exercise:**Given the provided temperatures data, follow these steps:1. Calculate the sample mean $\bar{X}$.2. Determine the sample standard deviation $s$.3. Use the t-distribution due to the small sample size (n < 30).4. Find the t-value corresponding to an 80% confidence level with degrees of freedom $df = n - 1$.5. Apply the formula for the confidence interval: \[ \bar{X} \pm t \left( \frac{s}{\sqrt{n}} \right) \]6. Express your final interval in the format (lower limit, upper limit).

Name: **Calculating the 80% Confidence Interval of Mean Body Temperature**T
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Calculating the 80% Confidence Interval of Mean Body Temperature**The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:\[98.8, 97.5, 98.6, 97.2, 98.9, 99, 96.8, 97.8, 98, 97.1\]Assume body temperatures of adults

Obtain the 80% confidence interval for the mean body temperature of adults in the town. The 80%…

Math

Probability

The body temperatures in degrees Fahrenheit of a sample of adults in one small town are: 98.8 97.5 98.6 97.2 98.9 | 99 96.8 97.8 98 97.1 Assume body temperatures of adults are normally distributed. Based on this data, find the 80% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population. 80% C.I. = Preview

The body temperatures in degrees Fahrenheit of a sample of adults in one small town are: 98.8 97.5 98.6 97.2 98.9 | 99 96.8 97.8 98 97.1 Assume body temperatures of adults are normally distributed. Based on this data, find the 80% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population. 80% C.I. = Preview

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The mean GPA of all 45,038 students at Uneeda College is 3.21. A random sample of 50 GPAs from the school has a mean of 3.16. Is the value 3.21 a parameter or a statistic?
Use z scores to compare the given values. The tallest living man at one time had a height of 256cm. The shortest living man at that time had a height of 114.6 cm. Heights of men at that time had a mean of 174.87 cm and a standard deviation of 7.57 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z=____ and the z score for the shortest man is z=_____, the (Shortest/tallest) man had the height that was more extreme. (Round to two decimal places.)
Consider a sample data with x=25 and s=2. Compute a chebyshev’s interval for which at least 89% of the data will lie?
The average time it takes a certain brand of ibuprofen to start working is 25 minutes, with a standard deviation of 13 minutes, distributed normally. A pharmacist randomly samples 20 pills from this brand, because she is researching different brands in order to find the quickest acting ibuprofen to recommend to her customers. Identify the following to help her make her recommendations, rounding to the nearest hundredth if necessary:
Eighty-eight Americans were surveyed to determine the number of hours they spend watching television each month, It was revealed that they watched an average of 151 hours each month with a standard deviation of 32 hours. Assume that the underlying population distribution is normal. Find the best point estimate for the mean of the population. hours Construct a 80% confidence interval for the population mean hours spent watching television per month. Round each answer to one decimal places.
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.
The questions are in the screenshot. Please answer each question separately.
Toby wants to know the average price of new cars at a particular dealearship. He randomly selects a sample of 31 cars and finds that the average price to be $19500$19500 with a standard deviation of $1640$1640. What is the 95% confidence interval for the mean price of cars at this particular dealership? With 95% confidence, we can say the true population mean price of cars at this dealership is between $____ and _____$ .Round to the nearest dollar
Twenty-two car salespeople were sampled to see how many cars they sold in a month; the following data was obtained: 26, 20, 22, 18, 21, 14, 24, 28, 17, 23, 28, 29, 18, 17, 24, 26, 19, 27, 26, 22, 23, 25 Construct a 95% confidence interval for the mean number of cars sold per month by the population of car salespeople. S = t = Margine of Error: E = We are 95% confident that, on average, car salespeople sell between cars and cars per month.