Question

A sample of 50 days showed that a fast food restaurant served an average of 182 customers during lunch time. The standard deviation of he sample was 8. Find the 90% confidence interval for the mean.

Answer #1

Formula for Confidence Interval for Population mean when population Standard deviation is not known

Sample Average number of customers served during lunch time : = 182

Sample size : n= 50

Sample Standard deviation : s= 8

Given | |

Sample Mean : | 182 |

Sample Standard Deviation : s | 8 |

Sample Size : n | 50 |

Degrees of freedom : n-1 | 49 |

Confidence Level : | 90 |

= (100-90)/100 | 0.1 |

/2 | 0.05 |

1.6766 |

90% confidence interval for the mean.

90% confidence interval for the mean. = =(180.1031,183.8969)

The waiting time until a customer is served at a fast food
restaurant during lunch hours has a skewed distribution with a mean
of 2.4 minutes and a standard deviation of 0.4 minute. Suppose that
a random sample of 44 waiting times will be taken. Compute the
probability that the mean waiting time for the sample will be
longer than 2.5 minutes. Answer: (Round to 4 decimal places.)

A fast food restaurant executive wishes to know how many fast
food meals adults eat each week. They want to construct a 90%
confidence interval with an error of no more than 0.06 meals. A
consultant has informed them that a previous study found the mean
to be 5.7 fast food meals per week and found the standard deviation
to be 1.1.
What is the minimum sample size required to create the specified
confidence interval?

A random sample of 49 lunch customers was selected at a
restaurant. The average amount of time the customers in the sample
stayed in the restaurant was 40 minutes. From past experience, it
is known that the population standard deviation equals 10
minutes.
a.
Compute the standard error of the mean.
b.
Construct a 95% confidence interval for the true
average amount of time customers spent in the restaurant.
c.
With a .95 probability, what sample size would have to...

A fast food restaurant executive wishes to know how many fast
food meals adults eat each week. They want to construct a 95%
confidence interval for the mean and are assuming that the
population standard deviation for the number of fast food meals
consumed each week is 1.4. The study found that for a sample of
1537 adults the mean number of fast food meals consumed per week is
6.4. Construct the desired confidence interval. Round your answers
to one...

The Roman Arches is an Italian restaurant. The manager wants
to estimate the average amount a customer spends on lunch, Monday
through Friday. A random sample of 100 customers' lunch tabs gave a
mean of $8.75 and a population standard deviation of $2.04.
Construct a 90% confidence interval for the average amount
spent on lunch by all customers.

(solve manually) a randomn sample of 49 lunch customers was
taken at a restaurant. The average amount of time the customers in
the sample stayed in the restaurant was 45 minutes with a standard
deviation of 14 minutes.
a) Construct a 95% confidence interval for the true average
amount of time customers spent in the restaurant.
b) with a .95 probability, how large of a sample would have to
be taken to provide a margin of error of 2.5 minutes...

Exhibit: Lunch Customers
A random sample of 68 lunch customers was taken at a restaurant.
The average amount of time the customers in the sample stayed in
the restaurant was 42 minutes with a standard deviation of 11
minutes.
(For this exhibit, avoid rounding intermediate steps and round
your final solutions to 4 decimal places)
34. Construct 88% confidence interval for the population mean
and provide the lower bound of the confidence
interval below.
35. Refer to the Exhibit Lunch...

1. A restaurant serves an average of 180
customers per hour during the lunch time.
(a). What probability distribution is most
appropriate for calculating the probability of a given number of
customers arriving within one hour during lunch time?
(b). What are the mean and the standard
deviation of the number of customers this restaurant serves in one
hour during lunch time?
(c). Would it be considered unusually low if
only 150 customers showed up to this restaurant in one...

A fast food restaurant executive wishes to know how many fast
food meals adults eat each week. They want to construct a 85%
confidence interval with an error of no more than 0.08. A
consultant has informed them that a previous study found the mean
to be 5.6 fast food meals per week and found the standard deviation
to be 1.3. What is the minimum sample size required to create the
specified confidence interval? Round your answer up to the...

9. A local fast-food restaurant finds that its daily profit has
mean µ =50 dollars and standard deviation σ =100 dollars. If an
auditor randomly selects 30 days, what is the probability that the
average profit of the 30 days is a loss (i.e., average profit is
less than 0)? (4pts)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 11 minutes ago

asked 18 minutes ago

asked 24 minutes ago

asked 26 minutes ago

asked 26 minutes ago

asked 26 minutes ago

asked 29 minutes ago

asked 31 minutes ago

asked 46 minutes ago

asked 46 minutes ago

asked 54 minutes ago