Question

1) Create a 99% confidence interval for the proportion of cereals that have 100 CALORIES or less per serving based on the samples provided.

n=40

70 |

120 |

70 |

50 |

110 |

110 |

110 |

130 |

90 |

90 |

120 |

110 |

120 |

110 |

110 |

110 |

100 |

110 |

110 |

110 |

100 |

110 |

100 |

100 |

110 |

110 |

100 |

120 |

120 |

120 |

110 |

110 |

140 |

110 |

160 |

140 |

130 |

120 |

50 |

50 |

Answer #1

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.)
140 150 160 130 110 100 160 150 110 130 100
1) Find a 95% confidence interval for the average calorie
content of vanilla yogurt per serving.
2) Interpret this interval for someone looking to buy yogurt
A. A randomly selected serving of yogurt has a 90% chance of
having...

Create a 99% confidence interval of the number of calories in 3
ounces of french fries based on a sample of 8 batches of french
fries, weighing 3-ounce each, taken from different restaurants. The
sample has a mean of 244.5 and a sample standard deviation, s, of
21.7. Interpret the results. (10 points)

Consumer Reports tested 14 brands of vanilla yogurt and found
the following numbers of calories per serving:
160 200 220 230 120 180 140 130 170 190 80 120 100 170
a. Use the R command qqnorm(x) where x is the data set to obtain
the normal probability plot of the data set. Is it reasonable to
assume the data set is normally distributed? Why or why not?
b. Regardless of the answer in part (a), assume the data set...

Create a 99% confidence interval for the mean using following
data. Explain/show what you did to arrive are your answer.
x
10
20
90
50
20
30
40
10
80
10

Use Table 1 to graph the Supply and Demand for Vegan Chocolate
Chip Cookies:
Table 1
Price (per box of cookies)
Quantity Demanded
Quantity Supplied
50
160
130
60
150
140
70
140
150
80
130
160
90
120
170
100
110
180
Use Table 1 to answer: If the price of a box of cookies is $60,
is there a shortage in the market? How does price adjust? Explain
and show graphically.

1) Kim wants to determine a 99 percent confidence interval for
the true proportion p of high school students in the area who
attend their home basketball games. Out of n randomly selected
students she finds that that exactly half attend their home
basketball games. About how large would ? have to be to get a
margin of error less than 0.01 for p?
[Use the values for z* from a z-table or t-table, and round to the
smallest integer...

(1 point) Dylan wants to determine a 99 percent confidence
interval for the true proportion of high school students in the
area who attend their home basketball games. How large of a sample
must he have to get a margin of error less than 0.02? [To find n,
use the value p* = 1/2 for the sample proportion and the values for
z* from a z-table or t-table.] [Round to the smallest integer that
works.] n =

A coworker randomly sampled 12 brands of Greek yogurt and found
the following number of calories per serving. Assume the population
standard deviation is known to be 35. Use an
Alpha= 0.05 significance level to test the claim
that Greek yogurt is more than 95 calories per serving.
145
140
85
155
90
160
80
105
115
110
130
100
State the null and alternate hypotheses.
Find the test statistic and the p-value for this hypothesis
test. Show work....

Confidence Interval Examples 1. A recent survey based on 100
TCOB undergraduates showed that 40% of the respondents were using
an Iphone. What is the 90% confidence interval for the proportion
of Iphone users among TCOB undergraduates? (1) What is the
corresponding Z-‐value? (2) What is the sampling error for the
proportion? (3) What is the confidence interval? 2. A sample study
of 100 customers of Best Buy showed that the average dollar
spending during the last three months was...

Out of 100 people sampled, 80 had kids. Based on this, construct
a 99% confidence interval for the true population proportion of
people with kids.
Give your answers as decimals, to three places

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