Question

In: Statistics and Probability

Suppose you are thinking about getting a puppy and want to know the amount of time...

Suppose you are thinking about getting a puppy and want to know the amount of time people spend caring for puppies. You survey 31 puppy owners and find that the mean amount of time they spend caring for their puppies is 108.0 minutes per day with a sample standard deviation of 17 minutes. Construct a 98% confidence interval for the mean amount of time puppy owners spend on their puppy per day. Interpret the interval. (1pt)

Point Estimate: ______

Margin of Error: ________

Confidence Interval:__________

Interpretation

Solutions

Expert Solution

Solution :

Given that,

= 108.0

s = 17

n =31 Degrees of freedom = df = n - 1 =31 - 1 =30

At 98% confidence level the t is

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02/ 2 = 0.01

t /2,df = t0.01,30 =2.457 ( using student t table)

Margin of error = E = t /2  ,df * (s /n)

= 2.457 * ( 17/ 31)

= 7.5019

The 98% confidence interval estimate of the population mean is,

- E < < + E

108.0 - 7.5019< < 108.0+ 7.5019

100.4981 < <  115.5019

(100.4981 , 115.5019 )

The 98% confidence interval estimate of the population mean is,(100.4981 , 115.5019 )

point estimate = 108.0

orchestra answered 1 year ago
Next > < Previous

Related Solutions

You are thinking about moving to Los Angeles to get a job, but want to know...
You are thinking about moving to Los Angeles to get a job, but want to know whether salaries are higher in LA than Sacramento. Luckily you were able to randomly select five people who moved from Sacramento to LA and find out their salaries in each place. Testing at the p<.05 level, are salaries higher in LA than Sacramento? The salaries you collected are as follows (in thousands, with Sacramento the first salary on the left of the parentheses, LA...
You are thinking about moving to Los Angeles to get a job, but want to know...
You are thinking about moving to Los Angeles to get a job, but want to know whether salaries are higher in LA than Sacramento. Luckily you were able to randomly select five people who moved from Sacramento to LA and find out their salaries in each place. Testing at the p<.05 level, are salaries higher in LA than Sacramento? The salaries you collected are as follows (in thousands, with Sacramento the first salary on the left of the parentheses, LA...
Suppose you know that the amount of time it takes your friend Susan to get from...
Suppose you know that the amount of time it takes your friend Susan to get from her residence to class averages  50 minutes, with a standard deviation of 55 minutes. What proportion of Susan's trips to class would take more than  50 minutes? . Enter your answers accurate to two decimal places. What proportion of her class would take more than  50 minutes? What proportion of Susan's trips to class would take less than 40 minutes? What proportion of Susan's trips to class...
Suppose you have a system and you know its wavefunction. You want to know a property...
Suppose you have a system and you know its wavefunction. You want to know a property of this system and you know the operator for that property. But sadly, the system’s wavefunction is not an eigenfunction of the operator. Explain how you would calculate a value for the property. Annotations
It’s 2014. You’ve been working for 4 years. You’re thinking about getting an MBA (full time...
It’s 2014. You’ve been working for 4 years. You’re thinking about getting an MBA (full time two years). • Current Salary: $80,000 per year • Expected Salary: $110,000 per year • Cost of an MBA: $100,000 How many years to take to pay back the cost after the graduation? Assume 8% of annual rate.
You will be graduating in two years and are thinking about your future. You know that...
You will be graduating in two years and are thinking about your future. You know that you will want to buy a house five years after you graduate and that you will want to put down $60,000. As of right now, you have $8,000 in your savings account. You are also fairly certain that once you gradu- ate, you can work in the family business and earn $32,000 a year, with a 5 percent raise every year. You plan to...
Problem 2 You are thinking about getting a new grill for your backyard entertaining. You have...
Problem 2 You are thinking about getting a new grill for your backyard entertaining. You have a choice between a Weber Kettle Grill that uses charcoal and a Weber Gas Grill that operates on a natural gas feed from your house. The Kettle grill costs $290 and will last about 5 years. You estimate that you will use $185 worth of charcoal each year with the Kettle grill. The Gas Grill costs $950. It does not require charcoal, but you...
Suppose you want to know if there is a difference in the average high temperatures in...
Suppose you want to know if there is a difference in the average high temperatures in February 2019 for three different areas. you record the following temperatures randomly for the three cities. A B C 18 -11 14 23 11 23 39 12 40 8 4 21 -4 -2 12 You decide to run a one-way ANOVA test on this data. A) write down the null and research hypotheses you are testing B) What are the F- statistic and P...
You are thinking about getting a $36,000 loan at 6.45% interest with monthly payments over 5...
You are thinking about getting a $36,000 loan at 6.45% interest with monthly payments over 5 years. Your bank will withhold $280 for an origination fee. What is the monthly payment? What is the APR?
It is early 2015, and you are thinking about buying some Greek bonds. a. You know...
It is early 2015, and you are thinking about buying some Greek bonds. a. You know that Greek bonds have very risky. Why would you still want to buy them, given that there is a high chance of default and non-payment? b. For the following situations, sketch a demand and supply diagram and explain what happens with the 1) price, 2) quantity of bonds sold and 3) the interest rate. Write 1-2 sentences to explain. 1. There are protests in...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT