Question

In: Statistics and Probability

The sugar content in a one-cup serving of a certain breakfast cereal was measured for a...

The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 125 servings. The sample mean sugar content was 11.9g and the sample standard deviation was 1.1g.
(a) Find a 99% confidence interval for the mean sugar content.
(b) How large a sample is needed so that a 99% confidence interval specifies the mean to within +0.1 (assume the standard deviation is still 1.1g)?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The sugar content in a one-cup serving of a certain breakfast cereal was measured for a...
The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 140 servings. The average was 11.9 g and the standard deviation was 1.1 g. Find a 95% confidence interval for the mean sugar content. Round the answers to three decimal places. The 95% confidence interval is ( ), ( )
A common breakfast cereal maker states that the sugar content of one of its popular cereal...
A common breakfast cereal maker states that the sugar content of one of its popular cereal is approximately 36%. A dataset by W. J. Braun gives the sugar percentages of 100 samples of 25g of the breakfast cereal, collected by using high performance liquid chromatogramphy. The first 9 values are shown. 36.3, 33.2, 39, 37.3, 40.7, 38.4, 35.8, 36, 37.9… We will be looking at the mean percentage of the sugar content of the sample in comparison to that of...
A 1-ounce serving of a certain breakfast cereal is supposed to contain 9 grams of psyllium,...
A 1-ounce serving of a certain breakfast cereal is supposed to contain 9 grams of psyllium, a high fiber food product that may be beneficial in lowering cholesterol levels. Twenty-four servings were analyzed for the amount of psyllium, and the sample standard deviation was 0.52. Construct a 90% confidence interval for the true standard deviation of the amount of psyllium per serving of this cereal. Write a sentence summarizing your results.
A single random sample of 16 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected.
Question 1   A single random sample of 16 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected. Those amounts have a mean of 0.295 gram and a standard deviation of 0.168 gram. The amount of sugar in all cereals is assumed to be normally distributed. Construct a 95% confidence interval estimate of the population mean. Degrees of freedom =                           ...
A certain brand of cereal claims that the mean sodium content per serving is less than...
A certain brand of cereal claims that the mean sodium content per serving is less than 235 mg and past research suggests that the standard deviation is 10 mg. You find that a sample of 53 cereal servings has a mean sodium content of 233 mg. Using a 0.10 significance​ level, what can you conclude about the​ brand’s claim? 1) What type of hypothesis test is​ this? ​2) State the hypotheses. 3) Calculate the value of the Test Statistic. 4)...
The file Cereals contains the calories and sugar, in grams, in one serving of seven breakfast...
The file Cereals contains the calories and sugar, in grams, in one serving of seven breakfast cereals: Cereal                                                             Calories                             Sugar Kellogg’s all Bran                                         80                                       6 Kellogg’s Corn Flakes                                  100                                     2 Wheaties                                                        100                                     4 Nature’s path Organic Multigrain Flakes 110                                     4 Kellogg’s rice Krispies                                 130                                     4 Post Shredded Wheat Vanilla almond       190                                     11 Kellogg’s Mini Wheats                                200                                     10 a. Compute and interpret the coefficient of correlation, r. b. at the 0.05 level of...
To increase the sales of its Sugar Kids breakfast cereal, Blue Spruce Foods Limited places one...
To increase the sales of its Sugar Kids breakfast cereal, Blue Spruce Foods Limited places one coupon in each cereal box. Five coupons are redeemable for a premium consisting of a child’s hand puppet. In 2017, Blue Spruce purchases 41,800 puppets at $1.75 each and sells 491,000 boxes of Sugar Kids at $3.00 a box. Blue Spruce estimates that $0.20 of the sale price relates to the hand puppet to be awarded. From its experience with other similar premium offers,...
To increase the sales of its Sugar Kids breakfast cereal, Blue Spruce Foods Limited places one...
To increase the sales of its Sugar Kids breakfast cereal, Blue Spruce Foods Limited places one coupon in each cereal box. Five coupons are redeemable for a premium consisting of a child’s hand puppet. In 2017, Blue Spruce purchases 41,800 puppets at $1.75 each and sells 491,000 boxes of Sugar Kids at $3.00 a box. Blue Spruce estimates that $0.20 of the sale price relates to the hand puppet to be awarded. From its experience with other similar premium offers,...
A cereal company has claimed that one serving of their cereal has on average 120 calories...
A cereal company has claimed that one serving of their cereal has on average 120 calories with a standard deviation of 12 calories.  You decide to test their claims and examine 10 different recommended serving sized bowls for calorie count and nutritional content. The data is below.  With an alpha level of .05, does the evidence support the cereal company’s claims?   α = .05 μ = 120 σ = 12 mean = _____ n = _____ Bowls 1 2 3 4 5...
Some boxes of a certain brand of breakfast cereal contain a card with an access code...
Some boxes of a certain brand of breakfast cereal contain a card with an access code for a free month of a particular entertainment streaming service. The company that makes the cereal claims that the access code can be found in 20% of the boxes. However, based on their experiences consuming the cereal, a group of students believes that the proportion of boxes which contain access codes is less than 20%. The group of students purchases 40 boxes of cereal...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT