Question

A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 15 books from the library, test her claim at a 0.10 level of significance.

number of times checked out | number of pages |
---|---|

17 | 302 |

5 | 395 |

20 | 289 |

6 | 272 |

7 | 219 |

41 | 433 |

25 | 252 |

18 | 239 |

12 | 265 |

2 | 204 |

13 | 344 |

33 | 398 |

3 | 386 |

34 | 373 |

44 | 301 |

The correlation coefficient:

r= (round to 3 decimal places)

The equation y=a+bx is: (round to 3 decimal places)

y=+ x

The hypotheses are:

H0:ρ=0H0:ρ=0 (no linear relationship)

HA:ρ≠0HA:ρ≠0 (linear relationship) (claim)

Since αα is 0.10 the critical value is -1.771 and 1.771

The test value is: (round to 3 decimal places)

The p-value is: (round to 3 decimal places)

The decision is to

- reject H0H0
- do not reject H0H0

Thus the final conclusion sentence is

- There is enough evidence to reject the claim that there is a linear relationship.
- There is not enough evidence to reject the claim that there is a linear relationship.
- There is enough evidence to support the claim that there is a linear relationship.
- There is not enough evidence to support the claim that there is a linear relationship.

Answer #1

The statistical software output for this problem is :

**r = 0.390**

**y = 273.736 + 2.021 x**

**Test statistics = 1.525**

**P-value = 0.151**

do not reject H0

There is not enough evidence to support the claim that there is a linear relationship

A student wants to see if the weight of a paperback book and the
number of pages in the book are related. She guesses that the
weight of the book will be a predictor of the number of pages it
has. She randomly sampled 11 books from the library, test her claim
at a 0.05 level of significance.
weight in ounces
number of pages
41
61
1
95
7
29
24
121
11
35
39
141
19
45
21
97...

Is the length of time of unemployment related to the type of
industry? A random sample of unemployed workers from three
different work sectors yielded the following data. Perform a
hypothesis test at 0.10 level of significance to determine if there
is a relationship.
Less than 5 weeks
5-14 weeks
15-26 weeks
Transportation
82
106
78
Information
47
56
58
Financial
83
106
115
What are the expected numbers? (round to 3 decimal places)
Less than 5 weeks
5-14 weeks...

A school district has four schools, six class in from each
school were randomly selected and the number of students in the
class were recorded. Test the claim that at least one school has a
different class size at a 0.10 level of significance.
School
A
School
B
School
C
School
D
37
47
31
25
33
45
38
40
37
46
33
35
42
31
34
37
26
36
30
30
31
31
36
37
The hypotheses for this...

A recent publication states that the average closing cost for
purchasing a new home is $8927. A real estate agent believes that
the average closing cost is more than $8927. She selects 40 new
home purchases and finds that the average closing costs are $8352.
The population standard deviation of $153. Help her decide if she
is correct by testing her claim at αα=0.10.
The correct hypotheses would be:
H0:μ≤$8927H0:μ≤$8927
HA:μ>$8927HA:μ>$8927 (claim)
H0:μ≥$8927H0:μ≥$8927
HA:μ<$8927HA:μ<$8927 (claim)
H0:μ=$8927H0:μ=$8927
HA:μ≠$8927HA:μ≠$8927 (claim)
Since the...

A recent publication states that the average closing cost for
purchasing a new home is $8304. A real estate agent believes the
average closing cost is more than $8304. She selects 10 new home
purchases and finds that the average closing costs are $7150 with a
standard deviation of $420. Help her decide if she is correct by
testing her claim at αα=0.10.
The correct hypotheses would be:
H0:μ≤$8304H0:μ≤$8304
HA:μ>$8304HA:μ>$8304 (claim)
H0:μ≥$8304H0:μ≥$8304
HA:μ<$8304HA:μ<$8304 (claim)
H0:μ=$8304H0:μ=$8304
HA:μ≠$8304HA:μ≠$8304 (claim)
Since the level...

A recent publication states that the average closing cost for
purchasing a new home is $8500. A real estate agent believes that
the average closing cost is more than $8500. She selects 31 new
home purchases and finds that the average closing costs are $8029.
The population standard deviation of $361. Help her decide if she
is correct by testing her claim at αα=0.10.
The correct hypotheses would be:
H0:μ≤$8500H0:μ≤$8500
HA:μ>$8500HA:μ>$8500 (claim)
H0:μ≥$8500H0:μ≥$8500
HA:μ<$8500HA:μ<$8500 (claim)
H0:μ=$8500H0:μ=$8500
HA:μ≠$8500HA:μ≠$8500 (claim)
Since the...

A recent publication states that the average closing cost for
purchasing a new home is $8100. A real estate agent believes the
average closing cost is less than $8100. She selects 22 new home
purchases and finds that the average closing costs are $7739 with a
standard deviation of $412. Help her decide if she is correct by
testing her claim at αα=0.10.
The correct hypotheses would be:
H0:μ≤$8100H0:μ≤$8100
HA:μ>$8100HA:μ>$8100 (claim)
H0:μ≥$8100H0:μ≥$8100
HA:μ<$8100HA:μ<$8100 (claim)
H0:μ=$8100H0:μ=$8100
HA:μ≠$8100HA:μ≠$8100 (claim)
Since the level...

A student pursuing a degree in English as a second language
believes the proportion female factory workers who can't speak
English is less than the proportion of male factory workers who
can't speak English. To test her claim she randomly selects 246
female factory workers and out of them 52 could not speak English.
She then randomly selects 207 male factory workers and out of them
57 could not speak English. Test her claim at αα =0.05 to see if...

A student pursuing a degree in English as a second language
believes the proportion female factory workers who can't speak
English is greater than the proportion of male factory workers who
can't speak English. To test her claim she randomly selects 310
female factory workers and out of them 70 could not speak English.
She then randomly selects 351 male factory workers and out of them
69 could not speak English. Test her claim at αα=0.05 to see if she...

A dietician read in a survey that 88.44% of adults in the U.S.
do not eat breakfast at least 3 days a week. She believes that a
larger proportion skip breakfast 3 days a week. To verify her
claim, she selects a random sample of 65 adults and asks them how
many days a week they skip breakfast. 38 of them report that they
skip breakfast at least 3 days a week. Test her claim at αα =
0.10.
The...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 14 minutes ago

asked 38 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 53 minutes ago

asked 56 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago