Question

a
sugar content in one cup serving of a cereal was measured for a
sample of 140 servibgs. the acerage was 11.9 abs the standard
deviation was 1.1 g.

find ta 95% cobfidence intefval for the mean sugar
content.

what is the confidence level of the interval (11.81,
11.99)

how large a sample is neededso that a 95% confidence interval
specifies the mean within +~0.1?

Answer #1

The mean sugar content in breakfast cereal is manufactured to be
11g of sugar per serving- a serving is defined to be 30g of cereal.
the manufacturing process is controlled such that the standard
deviation is only 0.8 g per serving. after an overhaul of the
equipment, the sugar content is checked using a sample of 35
measurements which are averaged to find a mean sugar content of
10.7 g per serving. is there strong evidence that the true mean...

the mean sugar content in breakfast cereal is manufactured to be
11g of sugar per serving- a serving is defined to be 30g of cereal.
the manufacturing process is controlled such that the standard
deviation is only 0.8 g per serving. after an overhaul of the
equipment, the sugar content is checked using a sample of 35
measurements which are averaged to find a mean sugar content of
10.7 g per serving. is there strong evidence that the true mean...

A study was conducted to estimate the average cold cereal sugar
content per serving. It was determined that the sample mean was
6.95 g. Confidence intervals were obtained for 90% 95% and 99%
confidence levels and listed below. Which interval would be the 90%
confidence interval?
(5.8030, 8.0970)
Not enough info
(5.9921, 7.9079)
(5.4243, 8.4757)

Consider: Sugar content in a particular brand of cranberry
sauce. A random sample was selected in order to estimate
the true sugar content.
Sample results:
Sample size: 76
Sample Mean: 24.7 g
Sample standard deviation: 1.3 g.
a. Provide the 90% Confidence Interval for the
Mean amount of sugar per serving.
b. The sample result of ?̅= 24.7 ? can be used as a point
estimate for the mean amount of sugar per serving. At the 90%
Confidence Level, what is...

The following data represents the calorie-content per 1/2-cup
serving for 16 randomly selected flavours of Jen and Berry's
Ultra-Creamy Ice Cream:
270, 150, 170, 140, 160, 160, 290, 190, 190, 160, 170, 150, 110, 180, 170, 185
It is also known that the samples are form the normal population
with the standard deviation 45.
(a) What is the point estimate of mean for
calorie-content per 1/2-cup serving? Calculate margin of error when
?=0.05
(b) Construct a 95% confidence interval for...

1. A cereal company claims the mean sodium content in one
serving of its cereal is 230 milligrams. You work for a national
health service and are asked to test this claim. You find that a
random sample of 50 servings has a mean sodium content of 234
milligrams and a standard deviation of 10 mg. At α = 0.01, do you
have enough evidence to reject the company’s claim?
Hypothesis:
Test statistic:
p-value:
Conclusion:
Interpretation:

A manufacturer of a certain brand of rice cereal
claims that the average content of
Saturated fat is 1.5 grams per serving. You have taken a poll and
the
sample of 30 elements yields an average of 1.7 grams, so you want
to test
98% confidence level that the mean differs from 1.5 grams with one
deviation
population of 0.2 g.
Perform a hypothesis test and conclude with the p-value.

The table below contains data on sugar (gms/serving) in samples
of cereal geared toward children.
10
14
12
9
13
13
13
11
12
15
9
10
11
3
6
12
15
12
12
Assuming the population is known to be normally distributed,
find the 95% confidence interval. Give answers to 2
decimal places.
Using your answer to part a, give the result in terms of mean ±
margin of error. Give answer to 2 decimal places.

To estimate µ, the average sugar content of a soda drink, 45 of
sample drinks are randomly chosen, and their sugar contents are
determined. (a) If the average sugar finding is ¯x = 1.74 grams,
what is a 90% confidence interval for µ? (b) What is a 90%
confidence upper bound for µ? (c) How large a sample is necessary
to be 90% confident that µ differs from ¯x by less than or equal
0.3 grams? Assume that it is...

1) A sample of cereal boxes is randomly selected and the sugar
contents (grams of sugar per gram of cereal) are recorded. Those
amounts are summarized with these statistics: n = 16, ?̅ = 0.295g,
s = 0.168g. Use a 0.05 significance level to test the claim that
the mean of all cereals is less than 0.3g.
Section 7-6 Problem
Testing a Claim about a Standard Deviation
a ) Use a 0.05 significance level to test the claim that heights...

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