Question

SunDrop Candies Inc claims that their 3 ounce bag of candies contains over 90 pieces of...

SunDrop Candies Inc claims that their 3 ounce bag of candies contains over 90 pieces of candy.

A consumer group does not think this claim is accurate and obtains a simple random sample of 26, 3 ounce, bags of the SunDrop Candies. The number of candies in each bag is recorded.

Find a 95% confidence interval for the mean number of candies contained in a 3 ounce bag of SunDrop Candies.

Here is the data:

total
89
90
84
89
91
90
87
86
93
89
89
86
87
90
89
89
90
91
88
88
87
86
91
86
86
92
2303

a) Check that the normality assumptions are met.

b) What is the 95% confidence interval for the mean number of candies in a 3 ounce bag of SunDrop Candies? Round to 3 decimal places
____≤ μ ≤____

c) Interpret the confidence interval obtained in previous question.

d) What can be said about the SunDrop Candies' claim that their 3 ounce bag of candies contains over 90 pieces of candy? Be complete in your explaination. You should reference your confidence interval.

Homework Answers

Answer #1

a) The sample is reasonable random and standard deviation is known. Moreover the sample size is closer to 30 as well so normality assumptions are met
Since we know that

Where n is the number of data points
Now

and n = 26
This implies that

Since we know that

b) Mean () = 88.5769
Sample size (n) = 26
Standard deviation (s) = 2.194
Confidence interval(in %) = 95

Since we know that

Required confidence interval =
Required confidence interval = (88.5769-0.8859, 88.5769+0.8859)
Required confidence interval = (87.691, 89.4628)

c) There is a 95% chances that the true mean of the population is between 87.691 and 89.4628

d) Since 90 doesn't belong in the confidence interval (87.691, 89.4628) which have 0.95 probability of having true mean, so there is less chances that the claim that their 3 ounce bag of candies contains over 90 pieces of candy of happening.
Please hit thumps up if the answer helped you.

Know the answer?
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
Similar Questions
4. The number of chocolate chips in an 18-ounce bag of Chips Ahoy! cookies is approximately...
4. The number of chocolate chips in an 18-ounce bag of Chips Ahoy! cookies is approximately normally distributed with a mean of µ = 1262 chips and standard deviation σ = 188 chips. Source: Brad Warner and Jim Rutledge, Chance, 12(1): 10-14, 1999 (a) (3 points) What is the probability that a randomly selected 18-ounce bag of Chips Ahoy! contains between 1000 and 1400 chocolate chips, inclusive? Round your answer to 4 decimal places. Problem 4 continued: (b) (3 points)...
A bag of microwave popcorn contains 100 kernels and typically takes between 90 and 150 seconds...
A bag of microwave popcorn contains 100 kernels and typically takes between 90 and 150 seconds to pop. Assume normality and that popping the entire bag is not an option. How many kernels that would be needed in a test to estimate the true mean time to pop a microwave bag of popcorn to within +/- 3 seconds with 98% confidence? Show your work please.
The Data A central tenet to being a good instructor, I believe, is to be a...
The Data A central tenet to being a good instructor, I believe, is to be a reflective practitioner of your craft. From time to time I find it to be necessary to review and reflect on my work as an instructor from a grade perspective. On our moodle page you will find a link to a second word document titled “300 Grades”. This data sheet contains both the alphanumeric grade (page 1) and the numerical equivalent (page 2) for every...
Student Grades Student Test Grade 1 76 62 2 84 90 3 79 68 4 88...
Student Grades Student Test Grade 1 76 62 2 84 90 3 79 68 4 88 84 5 76 58 6 66 79 7 75 73 8 94 93 9 66 65 10 92 86 11 80 53 12 87 83 13 86 49 14 63 72 15 92 87 16 75 89 17 69 81 18 92 94 19 79 78 20 60 71 21 68 84 22 71 74 23 61 74 24 68 54 25 76 97...
Given Data: (1)= low lead level (2)= medium lead level, (3)= high lead level IQ: 85...
Given Data: (1)= low lead level (2)= medium lead level, (3)= high lead level IQ: 85 (1), 94 (1), 97 (1), 86 (1), 86 (1), 107 (1), 91 (1), 99 (1), 115 (1), 50 (1), 93 (1), 98 (1), 100 (1), 94 (1), 73 (1), 76 (1), 72 (1), 76 (1), 95 (1), 89 (1), 96 (1), 108 (1), 74 (1), 72 (2), 90 (2), 100 (2), 91 (2), 98 (2), 91 (2), 85 (2), 97 (2), 91 (2), 78...
Given Data: (1)= low lead level (2)= medium lead level, (3)= high lead level IQ: 85...
Given Data: (1)= low lead level (2)= medium lead level, (3)= high lead level IQ: 85 (1), 94 (1), 97 (1), 86 (1), 86 (1), 107 (1), 91 (1), 99 (1), 115 (1), 50 (1), 93 (1), 98 (1), 100 (1), 94 (1), 73 (1), 76 (1), 72 (1), 76 (1), 95 (1), 89 (1), 96 (1), 108 (1), 74 (1), 72 (2), 90 (2), 100 (2), 91 (2), 98 (2), 91 (2), 85 (2), 97 (2), 91 (2), 78...
The following data represents the exam scores of students in Econ 220 VV22, which is one...
The following data represents the exam scores of students in Econ 220 VV22, which is one of several sections of Econ 220 in a college. You can take this as a sample.                                                                 Student Score 1 82 2 70 3 50 4 60 5 75 6 65 7 55 8 80 9 85 10 90 11 95 12 94 13 35 14 40 15 65 16 95 17 91 18 55 19 65 20 76 21 86 22 96...
In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours...
In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all residents. A key component of these rules is that residents should work no more than 80 hours per week. The following is the number of weekly hours worked in 2017 by a sample of residents at the Tidelands Medical Center. 85 84 89 88 79 87 80 90 85 86 79 80 picture Click here for the Excel Data File What is...
Given Data: (1)= low lead level (2)= medium lead level, (3)= high lead level IQ: 85...
Given Data: (1)= low lead level (2)= medium lead level, (3)= high lead level IQ: 85 (1), 94 (1), 97 (1), 86 (1), 86 (1), 107 (1), 91 (1), 99 (1), 115 (1), 50 (1), 93 (1), 98 (1), 100 (1), 94 (1), 73 (1), 76 (1), 72 (1), 76 (1), 95 (1), 89 (1), 96 (1), 108 (1), 74 (1), 72 (2), 90 (2), 100 (2), 91 (2), 98 (2), 91 (2), 85 (2), 97 (2), 91 (2), 78...
Refer to the accompanying data set and construct a 9595​% confidence interval estimate of the mean...
Refer to the accompanying data set and construct a 9595​% confidence interval estimate of the mean pulse rate of adult​ females; then do the same for adult males. Compare the results. Click the icon to view the pulse rates for adult females and adult males. Construct a 95​% confidence interval of the mean pulse rate for adult females.nothing bpm<μ<bpm bpm ​(Round to one decimal place as​ needed.) Construct a 95% confidence interval of the mean pulse rate for adult males....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT