Question

**Register Balance (Raw Data, Software
Required):**

Here we investigate whether the register balance at a local retail
store is better when a manager is on-duty compared to when a
manager is off-duty. Evidence like this might be used to determine
whether or not an employee is stealing money from the register when
no manager is around. The table below gives the register balance (0
means the register balance is right on, negative means there is
less money than there should be, and positive means there is more
money than there should be) for 10 days when the manager is present
and for 10 days when the manager is not present. Test the claim
that the mean register balance for all days when the manager is on
duty is greater than the mean register balance when the manager is
off duty. Test this claim at the 0.05 significance level.

Manager On Duty | No Manager | |

count | Register Balance (x_{1}) |
Register Balance (x_{2}) |

1 | -5 | 3 |

2 | 1 | -8 |

3 | -6 | -15 |

4 | -3 | -10 |

5 | 5 | -10 |

6 | -3 | 0 |

7 | -2 | -12 |

8 | -1 | -5 |

9 | -7 | 0 |

10 | -5 | -14 |

You should be able copy and paste the data directly into your
software program.

(a) The claim is that the difference in population means is
positive (μ_{1} − μ_{2} > 0). What type of test
is this?

This is a two-tailed test.

This is a left-tailed test.

This is a right-tailed test.

(b) Use software to calculate the test statistic. Do not 'pool' the
variance. This means you do not assume equal variances.

**Round your answer to 2 decimal places.**

*t* = ?

(c) Use software to get the P-value of the test statistic.
**Round to 4 decimal places.**

P-value = ?

(d) What is the conclusion regarding the null hypothesis?

reject *H*_{0}

fail to reject
*H*_{0}

(e) Choose the appropriate concluding statement.

The data supports the claim that the mean register balance for all days when the manager is on duty is greater than the mean register balance when the manager is off duty.

There is not enough data to support the claim that the mean register balance for all days when the manager is on duty is greater than the mean register balance when the manager is off duty.

We reject the claim that the mean register balance for all days when the manager is on duty is greater than the mean register balance when the manager is off duty.

We have proven that someone is stealing money from the register when the manager is not on duty

Answer #1

The statistic software output for this problem is:

(a) This is a **right**-tailed test.

(b) t = **1.96**

(c) P-value = **0.0350**

(d) P-value < 0.05

**Reject H0**

**Conclusion is :**

The data supports the claim that the mean register balance for all days when the manager

is on duty is greater than the mean register balance when the manager is off duty.

(Raw Data, Software Required):
Here we consider a small study on the sleep habits of med students
and non-med students. The study consists of the hours of sleep per
night obtained from 30 non-med students and 25med students. The
sample data is given in the table below. Test the claim that, on
average, the mean hours of sleep for all med students is different
from that for non-med students. Test this claim at the 0.01
significance level.
(a) The claim...

Med Student Sleep Average (Raw Data, Software
Required):
Here we consider a small study on the sleep habits of med students
and non-med students. The study consists of the hours of sleep per
night obtained from 30 non-med students and 25 med students. The
sample data is given in the table below. Test the claim that, on
average, the mean hours of sleep for all med students is different
from that for non-med students. Test this claim at the 0.05...

Med Student Sleep Average (Raw Data, Software Required): Here we
consider a small study on the sleep habits of med students and
non-med students. The study consists of the hours of sleep per
night obtained from 30 non-med students and 25 med students. The
sample data is given in the table below. Test the claim that, on
average, the mean hours of sleep for all med students is different
from that for non-med students. Test this claim at the 0.05...

Med Student Sleep Average (Raw Data, Software
Required):
Here we consider a small study on the sleep habits of med students
and non-med students. The study consists of the hours of sleep per
night obtained from 30non-med students and 25 med students. The
sample data is given in the table below. Test the claim that, on
average, the mean hours of sleep for all med students is different
from that for non-med students. Test this claim at the 0.01
significance...

Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
2.6
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.4
1.9
1.8
The Test: Complete the steps in testing the
claim that there is a difference...

Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
1.9
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.3
2.0
1.7
The Test: Complete the steps in testing the
claim that there is a difference...

Math & Music (Raw Data, Software
Required):
There is a lot of interest in the relationship between studying
music and studying math. We will look at some sample data that
investigates this relationship. Below are the Math SAT scores from
8 students who studied music through high school and 11 students
who did not. Test the claim that students who study music in high
school have a higher average Math SAT score than those who do not.
Test this claim...

Math & Music (Raw Data, Software
Required):
There is a lot of interest in the relationship between studying
music and studying math. We will look at some sample data that
investigates this relationship. Below are the Math SAT scores from
8 students who studied music through high school and 11 students
who did not. Test the claim that students who study music in high
school have a higher average Math SAT score than those who do not.
Test this claim...

Wait-Times (Raw Data, Software Required):
There are three registers at the local grocery store. I suspect the
mean wait-times for the registers are different. The sample data is
depicted below. It gives the wait-times in minutes.
Register 1
Register 2
Register 3
2.0
1.8
2.1
2.0
2.0
2.1
1.1
2.2
1.8
2.0
2.6
1.5
1.0
1.8
1.4
2.0
2.1
1.4
1.0
2.2
2.0
1.8
2.1
2.0
The Test: Complete the steps in testing the
claim that there is a difference...

Assembly Time (Raw Data, Software
Required):
The makers of a child's swing set claim that the average assembly
time is less than 2 hours. A sample of 35 assembly times (in hours)
for this swing set is given in the table below. Test their claim at
the 0.01 significance level.
(a) What type of test is this?
This is a two-tailed test.
This is a left-tailed test.
This is a right-tailed test.
(b) What is the test statistic? Round your...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 7 minutes ago

asked 11 minutes ago

asked 13 minutes ago

asked 13 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 17 minutes ago

asked 32 minutes ago

asked 36 minutes ago

asked 40 minutes ago

asked 40 minutes ago