Question

The waiting time (in minutes) at a bus stop has exponential distribution with mean >0. The waiting times on ten occasions were recorded as follows:

6.2, 5.8, 4.5, 6.1, 4.6, 4.8, 5.3, 5.0, 3.8, 4.0

a. Construct a 95% two-sided confidence interval for the true average waiting time.

b. Construct a 95% two-sided confidence interval for the true variance of the waiting time.

Answer #1

Values ( X ) | ||

6.2 | 1.4161 | |

5.8 | 0.6241 | |

4.5 | 0.2601 | |

6.1 | 1.1881 | |

4.6 | 0.1681 | |

4.8 | 0.0441 | |

5.3 | 0.0841 | |

5 | 0.0001 | |

3.8 | 1.4641 | |

4 | 1.0201 | |

Total | 50.1 | 6.269 |

Mean

Standard deviation

Part a)

Confidence Interval

Lower Limit =

Lower Limit = 4.413

Upper Limit =

Upper Limit = 5.607

95% Confidence interval is ( 4.413 , 5.607 )

part b)

\alpha = 0.05

n = 10

Lower Limit =

Upper Limit =

95% Confidence interval is ( 0.3296 , 2.3217 )

( 0.3296 < < 2.3217
)

Suppose the time a child spends waiting for the bus at the
school bus stop each day is exponentially distributed with a mean
of 2 minutes. Suppose waiting times for the bus are independent
each day. If we look at two days, determine the probability that
the child must wait at most 5 minutes for the bus each of the two
days.
a.
0.9180
b.
0.8426
c.
0.0821
d.
0.2821
e.
0.4179
A sample of 33 boxes of cereal has...

Use the data in Bank Dataset to answer this question.
Construct a 95% confidence interval for the mean increase in
deposits. Note that the population standard deviation σ is not
known in this case. Instead the sample standard deviation s should
be calculated from the sample and the t distribution should be
used.
2. What is the margin of error at the 95% confidence level?
Bank Dataset of Increase in deposits. Mean is 4. Sample size is
152 customers.
4.3...

The waiting time for Restaurant DD to deliver your food when
ordering online is normally distributed. A random sample of 6 days
in the last month indicated the following waiting times (in
minutes) 41 33 42 38 37 35
(a) [1 mark] Determine the sample mean and standard deviation.
You may use your calculator, so no justification is needed.
(b) [1 mark] What critical value would you use to construct a
95% confidence interval? Explain your choice.
(c) [2 marks]...

The waiting time for Restaurant DD to deliver your food when
ordering online is normally distributed. A random sample of 6 days
in the last month indicated the following waiting times (in
minutes) 41 33 42 38 37 35
(a) [1 mark] Determine the sample mean and standard deviation.
You may use your calculator, so no justification is needed.
(b) [1 mark] What critical value would you use to construct a
95% confidence interval? Explain your choice.
(c) [2 marks]...

The values listed below are waiting times (in minutes) of
customers at two different banks. At Bank A, customers enter a
single waiting line that feeds three teller windows. At Bank B,
customers may enter any one of three different lines that have
formed at three teller windows. Answer the following questions.
Bank A
6.4
6.6
6.7
6.8
7.1
7.3
7.6
7.9
7.9
7.9
Bank Upper BBank B
4.3
5.4
5.8
6.2
6.7
7.7
7.7
8.4
9.4
10.0
Construct a...

The values listed below are waiting times (in minutes) of
customers at two different banks. At bank A, customers enter a
single waiting line that feeds three teller windows. At bank B,
customers may enter any one of three different lines that have
formed at three teller windows. Answer the following questions.
a) Bank A: 6.5,
6.6, 6.7, 6.8,
7.1, 7.3, 7.4,
7.7, 7.7,
7.7
Construct a 95% confidence interval for the population standard
deviation σ at bank A. ____...

We wish to determine the impact of Specification Buying, X11, on
Satisfaction Level, X10. To do so we will split the Hatco data file
into two separate data sets based on the Specification Buying, X11.
This variable has two categories:
1=employs total value analysis approach, evaluating each
purchase separately;
0 = use of specification buying.
Sort the entire Hatco data set based on Specification Buying.
This will create two separate groups of records. Those records with
X11 = 0 and...

A random sample of
forty dash eightforty-eight
200-meter swims has a mean time of
3.062
minutes. The population standard deviation is
0.090
minutes. A
95
confidence interval for the population mean time is
(3.041,3.083).
Construct a
95
confidence interval for the population mean time using a
population standard deviation of
0.04
minutes. Which confidence interval is wider? Explain.

The values listed below are waiting times (in minutes) of
customers at two different banks. At Bank A, customers enter a
single waiting line that feeds three teller windows. At Bank B,
customers may enter any one of three different lines that have
formed at three teller windows. Answer the following questions.
Bank A
6.3
6.6
6.7
6.8
7.1
7.3
7.5
7.9
7.9
7.9
Bank Upper B
4.1
5.4
5.7
6.2
6.7
7.8
7.8
8.4
9.3
10.0
Using Chi-Square critical...

The failure time of a component is believed to be an Exponential
random variable. A component life test is performed, with the goal
being to make inferences about the mean time to failure. One
component is in operation at all times; in the event of failure,
the failed component is immediately replaced by a new component.
Observation begins at time T = 0 and ends at time T = 1,840
minutes, during which time 14 failures occur. Which is the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 9 minutes ago

asked 11 minutes ago

asked 12 minutes ago

asked 12 minutes ago

asked 14 minutes ago

asked 31 minutes ago

asked 45 minutes ago

asked 52 minutes ago

asked 54 minutes ago

asked 54 minutes ago

asked 57 minutes ago