Question

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.

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.

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 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
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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
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 (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 (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 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 for all
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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 (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 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....

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