A survey of 29 sugar addicts showed that they eat 13 jumbo candy bars a week....

A survey of 29 sugar addicts showed that they eat 13 jumbo candy bars a week. If the trend follows a typical normal distribution with a standard deviation of 3 candy bars a week, find the 99% confidence interval for the true average amount of candy bars eaten per week.

Expert Solution

solution

Given that,

= 13

s =3

n = 29

Degrees of freedom = df = n - 1 =29 - 1 =28

At 99% confidence level the t is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

t /2,df= t0.005,28 = 2.763 ( using student t table)

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

= 2.763* (3 / $\sqrt$ 29) = 1.5392

The 99% confidence interval estimate of the population mean is,

- E < < + E

13 - 1.5392< < 13+ 1.5392

11.4608< <14.5392

11.4608,14.5392

orchestra answered 2 years ago

A survey of 29 smokers showed that they smoke an average of 13 packs per week....

A survey of 29 smokers showed that they smoke an average of 13 packs per week. If the data follows a normal distribution with a standard deviation of 3 packs per week, find the 99% confidence interval for the true average of packs smoked per week.

Kate’s survey showed that 54 of 120 employees eat fast food at least once a week...

Kate’s survey showed that 54 of 120 employees eat fast food at least once a week for lunch. What is the proportion of employees who eat fast food at least once a week, using a 98% confidence interval? Group of answer choices 24% to 44% 30% to 50% 34% to 56% 28% to 45%

When you eat a candy bar, the sugar is absorbed into your blood, and as a...

When you eat a candy bar, the sugar is absorbed into your blood, and as a result, insulin is released to lower your blood sugar. This is an example of: a. negative feedback because the response amplifies the change. b. positive feedback because the response amplifies the change. c. negative feedback because the response opposes the change. d. positive feedback because the response opposes the change. e. positive feedback because it has a positive outcome and...

The sugar bear candy factory makes two types of chocolate candy bars milk chocolate and milk...

The sugar bear candy factory makes two types of chocolate candy bars milk chocolate and milk chocolate with almonds. In a typical day, 40% of the candy bars are being made of milk chocolate with almonds and the rest is plain milk chocolate. At the end of the day, a quality control expert randomly chooses 14 candy bars for inspection. a. What is the probability that fewer than 6 of the candy bars contained almonds? b.What is the probability that...

Michael spends exactly the same dollar amount on candy bars each week, regardless of their price....

Michael spends exactly the same dollar amount on candy bars each week, regardless of their price. John's demand curve for candy bars is a. upward-sloping b. backward-bending c. perfectly inelastic d. perfectly elastic If a firm facing a perfectly elastic demand curve raises its price, a. it will still sell exactly the same amount of output as it did at the lower price b. it will lose some, but not all, of its sales c. its sales will decrease to...

A survey of 10 smokers showed that they smoke an average of 13 packs. the data...

A survey of 10 smokers showed that they smoke an average of 13 packs. the data follows a normal distribution, with a previous record of standard deviation as 3 packs per week. find the 95% confidence interval for the true average of packs smoked per week. What is the sample mean value? Which distribution is used in this case? What is the Maximal Margin of Error? What is the confidence interval?

A survey on the number of hours a college student works per week showed that the...

A survey on the number of hours a college student works per week showed that the hours varied from 5 to 61 where 5 was the lowest number and 61 was the highest number. Determine the class width, classes, class marks and class boundaries of a frequency distribution table if the work hours were grouped using 8 classes. You can make a table to help you do this. Note: there is no frequency column.

Question