Question

A random sample of 22 brand-name chocolate energy bars has, on average, 230 calories per bar....

A random sample of 22 brand-name chocolate energy bars has, on average, 230 calories per bar. The standard deviation of the calorie content of this brand of energy bars is 17 calories. Calculate the margin of error for a 98% confidence interval for the true average calorie content of this brand of chocolate energy bars. Suppose the distribution of caloric content is approximately normal.

Important note: Use the critical value rounded to 3 decimal places and your answer to 2 decimal places.

Answer with using 4 decimals.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution Given that x = 230 S = n 22 C = 98% 0.98 At 98% confidence interval t is x = 1-c - 1-0.98 -0.02 a 0.02 0.01 2 2 d.f.

Add a comment
Know the answer?
Add Answer to:
A random sample of 22 brand-name chocolate energy bars has, on average, 230 calories per bar....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A random sample of 17 brand energy bars of chocolate has, on average, 230 calories per...

    A random sample of 17 brand energy bars of chocolate has, on average, 230 calories per bar. The standard deviation of the calorie content of this energy bar brand is 11.2 calories. Calculate the margin of error for a 98% confidence interval for the true average calorie content of this brand of chocolate energy bars. Suppose the distribution of caloric content is approximately normal. Important note: Use the critical value rounded to 3 decimal places and your answer to 2...

  • Chocolate Bar Calories The average number of calories in a 1.5-ounce chocolate bar is 225. Suppose...

    Chocolate Bar Calories The average number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution of calories is approximately normal with σ = 10. Find the probability that a randomly selected chocolate bar will havea. Between 200 and 220 caloriesb. Less than 200 caloriesSource: The Doctor’s Pocket Calorie, Fat, and Carbohydrate Counter.

  • A random sample of 20 chocolate energy bars of a certain brand has, on average, 210...

    A random sample of 20 chocolate energy bars of a certain brand has, on average, 210 calories per bar, with a standard deviation of 15 calories. Construct a 99% confidence interval for the true mean calorie content of this brand of energy bar. Assume that the distribution of the calorie content is approximately normal. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here...

  • A company tested 11 random brands of vanilla yogurt and found the number of calories per...

    A company tested 11 random brands of vanilla yogurt and found the number of calories per serving given below. (Note that more than 110 different brands of vanilla yogurt exist.) Complete parts a through c. 130 160 150 110 110 100 170 150 100 120 100 a) Check the assumptions and conditions for inference Is the Independence Assumption met? O No O Yes Is the Randomization Condition met or is the sample suitably representative? O No O Yes Is the...

  • Suppose that a random sample of 50 bottles of a particular brand of cough syrup is...

    Suppose that a random sample of 50 bottles of a particular brand of cough syrup is selected and the alcohol content of each bottle is determined. The resulting 95% confidence interval for the true population mean alcohol content is (8.4, 10.2) a. Find a point estimate for the population mean. b. What is the margin of error for the confidence interval? b. Would a 98% confidence interval calculated from the same sample have a larger or smaller margin of error?...

  • 1. A nutrition laboratory randomly selected and tested 26 reduced sodium hot dogs. It was found...

    1. A nutrition laboratory randomly selected and tested 26 reduced sodium hot dogs. It was found that their average (mean) sodium content is 310 mg with the standard deviation of 54 mg. It is known that the distribution of the sodium contents in this brand of hot dogs is approximately normal. What is a t* for a 90% confidence interval for the average (mean) sodium content of this brand of hot dogs? Round your answer to 4 decimal places. 2.A...

  • A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information...

    A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) x = 33, n = 25, C = 6, confidence level = 90% Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table a. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample...

  • A sample of 13 small bags of the same brand of candies was selected. Assume that...

    A sample of 13 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that...

  • An SRS of 450 high school seniors gained an average of x = 20 points in...

    An SRS of 450 high school seniors gained an average of x = 20 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ơ 49. (a) Find a 95% confidence interval for the mean change in score μ in the population of all high school seniors. (Enter your answers rounded to two decimal places.) lower bound of confidence interval: upper bound of confidence interval: (b) What...

  • Suppose that a simple random sample of size ?=325 selected from a population has ?=147 successes....

    Suppose that a simple random sample of size ?=325 selected from a population has ?=147 successes. Calculate the margin of error for a 95% confidence interval for the proportion of successes for the population, ? . Compute the sample proportion, ?̂, standard error estimate, SE, critical value, ?, and the margin of error, ?. Use a ?- distribution table to determine the critical value. Give all of your answers to three decimal places except give the critical value, ?, to...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT