Question

In: Statistics and Probability

A survey of several 8 to 10 year olds recorded the following amounts spent on a...

A survey of several 8 to 10 year olds recorded the following amounts spent on a trip to the mall:

$11.83,$24.11,$19.93,$15.34

Construct the 99% confidence interval for the average amount spent by 8 to 10 year olds on a trip to the mall. Assume the population is approximately normal.

Solutions

Expert Solution

n = Number of Data Values = 4

x̄ = Sample Mean = 17.80

s2 = Sample Variance = 28.68

s = Sample Standard Deviation = 5.35

99% confidence interval


Related Solutions

A survey of several 10 to 13 year olds recorded the following amounts spent on a...
A survey of several 10 to 13 year olds recorded the following amounts spent on a trip to the mall: $15.64, $12.62, $26.06 Construct the 95% confidence interval for the average amount spent by 10 to 13  year olds on a trip to the mall. Assume the population is approximately normal. Step 1 of 4: Calculate the sample mean for the given sample data. Round your answer to two decimal places. Step 2 of 4: Calculate the sample standard deviation for...
A survey of several 10 to 12 year olds recorded the following amounts spent on a...
A survey of several 10 to 12 year olds recorded the following amounts spent on a trip to the mall: $14.73,$18.13,$11.20,$14.89,$18.78,$21.08,$17.26 Construct the 99% confidence interval for the average amount spent by 10 to 12 year olds on a trip to the mall. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to two decimal places.
A survey of several 11 to 13 year olds recorded the following amounts spent on a...
A survey of several 11 to 13 year olds recorded the following amounts spent on a trip to the mall: $28.43,$25.23,$23.98,$24.79,$29.05 Construct the 95% confidence interval for the average amount spent by 11 to 13 year olds on a trip to the mall. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A survey of several 9 to 11 year olds recorded the following amounts spent on a...
A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $22.91,$17.13,$13.60 Construct the 99% confidence interval for the average amount spent by 9 to 11 year olds on a trip to the mall. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A survey of several 9 to 11 year olds recorded the following amounts spent on a...
A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $20.70, $20.82, $12.32, $19.53, $24.43 Construct the 98% confidence interval for the average amount spent by 9 to 11 year olds on a trip to the mall. Assume the population is approximately normal. Step 1 of 4: Calculate the sample mean for the given sample data. Round your answer to two decimal places. Step 2 of 4: Calculate the sample...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10 year old is shorter than 57 inches? 2. What is the probability that a randomly chosen 10 year old is between 50 and 52 inches? 3. If the tallest 15% of the class is considered very...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to four decimal places. 1. What is the probability that a randomly chosen 10 year old is shorter than 57 inches? 2. What is the probability that a randomly chosen 10 year old is between 50 and 52 inches? 3. If the tallest 15% of the class is considered very...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to two decimal places. 1. What is the probability that a randomly chosen 10 year old is shorter than 48 inches? 2. What is the probability that a randomly chosen 10 year old is between 50 and 51 inches? 3. If the shortest 10% of the class is considered very...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a...
Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. Round all answers to two decimal places. 1. What is the probability that a randomly chosen 10 year old is shorter than 57 inches? 2. What is the probability that a randomly chosen 10 year old is between 61 and 63 inches? 3. If the shortest 15% of the class is considered very...
4.44 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow...
4.44 Heights of 10 year olds: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. (a) What is the probability that a randomly chosen 10 year old is shorter than 48 inches? ____ (please round to four decimal places) (b) What is the probability that a randomly chosen 10 year old is between 60 and 65 inches? (please round to four decimal places) (c) If the tallest...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT