In: Statistics and Probability

In a survey, people were asked "Which flavor of ice cream do you like, chocolate or vanilla?" The result is summarized in the following table. Each number is the frequency (count) falling into that cell.

Chocolate | Vanilla | Neither | |

Children | 38 | 26 | 92 |

Teens | 87 | 92 | 14 |

Adults | 21 | 62 | 78 |

What is the percent of children who like chocolate ice cream among all the people responded in this survey?

Round your answer to the nearest 0.01.

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Question 181 pts

In a survey, people were asked "Which flavor of ice cream do you like, chocolate or vanilla?" The result is summarized in the following table. Each number is the frequency (count) falling into that cell.

Chocolate | Vanilla | Neither | |

Children | 34 | 14 | 50 |

Teens | 33 | 46 | 57 |

Adults | 18 | 69 | 88 |

What is the percent of teens who like vanilla ice cream among all the teens responded in this survey?

Round your answer to the nearest 0.01.

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Question 191 pts

In a survey, people were asked "Which flavor of ice cream do you like, chocolate or vanilla?" The result is summarized in the following table. Each number is the frequency (count) falling into that cell.

Chocolate | Vanilla | Neither | |

Children | 41 | 60 | 56 |

Teens | 58 | 49 | 59 |

Adults | 92 | 73 | 21 |

What percent of people are adults among those who like neither ice creams?

Round your answer to the nearest 0.01.

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Question 201 pts

Chocolate | Vanilla | Neither | |

Children | 21 | 92 | 62 |

Teens | 86 | 54 | 11 |

Adults | 84 | 64 | 63 |

What is the percent of people who like vanilla ice cream regardless of their age?

Round your answer to the nearest 0.01.

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Question 211 pts

Chocolate | Vanilla | Neither | |

Children | 23 | 93 | 40 |

Teens | 85 | 57 | 33 |

Adults | 13 | 14 | 71 |

What percent of people are adults in this survey?

Round your answer to the nearest 0.01.

Chocolate | Vanilla | Neither | |

Children | 38 | 26 | 92 |

Teens | 87 | 92 | 14 |

Adults | 21 | 62 | 78 |

What is the percent of children who like chocolate ice cream among all the people responded in this survey?

% of children who like chocolate ice cream = (38 / 38+ 26 +92 + 87+92+14+21+62+78 )*100

= 38 /510 *100

= **7.45 %**

Chocolate | Vanilla | Neither | |

Children | 34 | 14 | 50 |

Teens | 33 | 46 | 57 |

Adults | 18 | 69 | 88 |

What is the percent of teens who like vanilla ice cream among all the teens responded in this survey?

_{% teens
who like vanilla among all the teens = (46 / 33+46+57)
*100}

_{=
33.82%}

Chocolate | Vanilla | Neither | |

Children | 41 | 60 | 56 |

Teens | 58 | 49 | 59 |

Adults | 92 | 73 | 21 |

What percent of people are adults among those who like neither ice creams?

% of people are adults among those who like neither

= (21 / 56+59+21 )*100

= 15.44%

Chocolate | Vanilla | Neither | |

Children | 21 | 92 | 62 |

Teens | 86 | 54 | 11 |

Adults | 84 | 64 |
63 |

What is the percent of people who like vanilla ice cream regardless
of their age?

% people who like vanilla ice cream

= (92+54+64) / 92+54+64+62+11+63+21+86+84 *100

= 39.11%

Chocolate | Vanilla | Neither | |

Children | 23 | 93 | 40 |

Teens | 85 | 57 | 33 |

Adults | 13 | 14 | 71 |

What percent of people are adults in this survey?

% adults = 13+14+71 /13+14+71+85+57+33+23+90+40

= 23%

A survey determines that mint chocolate chip is the favorite ice
cream flavor of 6% of consumers. An ice cream shop determines that
of 190 customers, 15 customers stated their preference for mint
chocolate chip.
Find the P-value that would be used to determine if the percentage
of customers who prefer mint chocolate chip ice has increased at a
5% level of significance.
P-value: __________ Round your answer to four decimal places as
necessary.

What's your favorite ice cream flavor? For people who buy ice
cream, the all-time favorite is still vanilla. About 30% of ice
cream sales are vanilla. Chocolate accounts for only 13% of ice
cream sales. Suppose that 174 customers go to a grocery store in
Cheyenne, Wyoming, today to buy ice cream. (Round your answers to
four decimal places.)
(a) What is the probability that 50 or more will buy
vanilla?
(b) What is the probability that 12 or more...

In a recent poll, 38% of people said that chocolate was their
favorite flavor of ice cream. Suppose that 20
adults are randomly
selected.
Let X equal the number of people that answer chocolate is their
favorite flavor of ice cream in the sample of 20. What is the
probability distribution of X? (Be sure to list the
specific distribution) (binomial, geometric, Poisson,
exponential, uniform)
How many adults would you expect to say that chocolate is...

In a recent study, 35% of people surveyed indicate chocolate was
their favorite flavor of ice cream. Suppose we select a sample of 8
people and ask them to name their favorite flavor of ice cream.
How many of those in the sample would you expect to name
chocolate? (Round your answer to 1 decimal
place.)
What is the probability exactly four of those in the sample name
chocolate? (Round the probability to 5 decimal places and
the final answer...

3. 60 children were asked as to which ice cream flavour they
liked out of the three flavours of vanilla, strawberry and
chocolate and their answers were recorded as follows:
flavour Number of children
Vanilla. 17
Strawberry. 24
Chocolate 19
Determine whether children favour any particular flavour
compared to the other flavours.

The Chocolate Ice Cream Company and the Vanilla Ice Cream
Company have agreed to merge and form Fudge Swirl Consolidated.
Both companies are exactly alike except that they are located in
different towns. The end-of-period value of each firm is determined
by the weather, as shown below. There will be no synergy to the
merger.
State
Probability
Value
Rainy
.2
$
290,000
Warm
.3
470,000
Hot
.5
935,000
The weather conditions in each town are independent of those in...

The Chocolate Ice Cream Company and the Vanilla Ice Cream
Company have agreed to merge and form Fudge Swirl Consolidated.
Both companies are exactly alike except they are located in
diferent towns. The end of period value of each firm is determined
by the weather, as shown below. There will be no synergy to the
merger.
State Probability Value
Rainy .01 $410,000
Warm .04 $590,000
Hot .05 $1,115,000
The weather conditions in each town are independent of those in
the...

The Chocolate Ice Cream Company and the Vanilla Ice Cream
Company have agreed to merge and form Fudge Swirl Consolidated.
Both companies are exactly alike except that they are located in
different towns. The end-of-period value of each firm is determined
by the weather, as shown below. There will be no synergy to the
merger.
State
Probability
Value
Rainy
.1
$
260,000
Warm
.4
440,000
Hot
.5
890,000
The weather conditions in each town are independent of those...

The Chocolate Ice
Cream Company and the Vanilla Ice Cream Company have agreed to
merge and form Fudge Swirl Consolidated. Both companies are exactly
alike except that they are located in different towns. The
end-of-period value of each firm is determined by the weather, as
shown below. There will be no synergy to the merger.
State
Probability
Value
Rainy
.3
$
440,000
Warm
.2
620,000
Hot
.5
1,160,000
The weather conditions
in each town are independent of those in...

The Chocolate Ice Cream Company and the Vanilla Ice Cream
Company have agreed to merge and form Fudge Swirl Consolidated.
Both companies are exactly alike except that they are located in
different towns. The end-of-period value of each firm is determined
by the weather, as shown below. There will be no synergy to the
merger.
State
Probability
Value
Rainy
.1
$
280,000
Warm
.4
460,000
Hot
.5
920,000
The weather conditions in each town are independent of those in...

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