Question

A random sample of small-business managers was given a leadership style questionnaire. The results were scaled so that each manager received a score for initiative. Suppose the following data are a random sample of these scores.

43 | 42 | 41 | 39 | 38 | 31 | 41 |

43 | 35 | 45 | 30 | 33 | 35 | 44 |

36 | 43 | 39 | 33 | 39 | 41 | 41 |

33 | 35 | 36 | 41 | 33 | 43 | 38 |

41 | 42 | 44 | 35 | 36 | 33 | 38 |

32 | 30 | 43 | 42 |

Assuming *σ* is 3.891, use these data to construct a 90%
confidence interval to estimate the average score on initiative for
all small-business managers.

Appendix A Statistical Tables

**(Round the intermediate values to 3 decimal places.
Round your answers to 3 decimal places.)**

______ ≤ *μ* ≤ _______

Answer #1

Since population standard deviation is known, Use z-distribution.

43 |
42 |
41 |
39 |
38 |
31 |
41 |

43 |
35 |
45 |
30 |
33 |
35 |
44 |

36 |
43 |
39 |
33 |
39 |
41 |
41 |

33 |
35 |
36 |
41 |
33 |
43 |
38 |

41 |
42 |
44 |
35 |
36 |
33 |
38 |

32 |
30 |
43 |
42 |

Refer Standard normal table/Z-table or use excel function
" |

A random sample of small-business managers was given a
leadership style questionnaire. The results were scaled so that
each manager received a score for initiative. Suppose the following
data are a random sample of these scores. 38 42 39 39 38 31 39 38
35 45 30 33 35 44 36 38 39 33 39 39 41 33 35 36 41 33 38 38 39 42
44 35 36 33 38 32 30 38 42 Assuming σ is 3.891, use...

A random sample of small-business managers was given a
leadership style questionnaire. The results were scaled so that
each manager received a score for initiative. Suppose the following
data are a random sample of these scores.
36
42
42
39
38
31
42
36
35
45
30
33
35
44
36
36
39
33
39
42
41
33
35
36
41
33
36
38
42
42
44
35
36
33
38
32
30
36
42
Assuming σ is 3.891, use...

weeks 39 42 37 41 39 38 37 35 38 37 45 42 40 38 38 40 40 24 40
37 39 40 39 40 38 38 39 40 39 38 42 36 29 29 35 35 31 42 38 41 43
41 40 38 37 38 41 40 40 38 40 40 42 41 37 39 40 38 39 41 40 39 39
37 41 40 38 44 41 37 36 33 30 36 33 39 39 40 40...

Given the data below:
14 18 30 30 31 31 32 32 33 33 34 36 38 39 40 41 41 42 42 43 43
43 44 44 45 45 46 46 47 47 47 65 70
A. Make frequency diagram with 6 classes
B. Draw Histogram
C. Give 5 number summary
D. Draw the box and whicker diagram showing the fences, the
whiskers, and the outliers

A simple random sample of 31 cans of generic soda had their
caffeine levels measured, in milligrams per 12 ounce serving. The
data is given below. Find the 99% confidence interval estimate of
the mean amount of caffeine in the entire population of this
generic soda.
34
35
35
36
36
36
38
38
38
38
38
39
40 40
41
42 43
43
...

6. A simple random sample of 31 cans of generic soda had their
caffeine levels measured, in milligrams per 12 ounce serving. The
data is given below. Find the 99% confidence interval estimate of
the mean amount of caffeine in the entire population of this
generic soda.
34 35 35 36 36 36 38 38 38 38 38 39 40
40 41 42 43 43 45 45 46 46 47 50 50 51
52 53 55 56 60

In a certain town, a random sample of executives have the
following personal incomes (in thousands); 35, 43, 29, 55, 63, 72,
28, 33, 36, 41, 42, 57, 38, 30 Assuming that the population of
incomes are normally distributed. What is the 98% confidence
interval for the mean income?

I am conducting a research study. I have two
populations. Sample population 1 is a control group. Sample
population 2 has received the intervention.
The question is, how do I determine if there is a relationship
between the two populations using the data sets below:
Sample from Population 1: 33, 29, 35, 39, 39, 41, 25, 33,
38
Sample from Population 2: 46, 43, 42, 46, 44, 47, 50, 43,
39

How Democratic is Georgia? County-by-county results are shown
for a recent election. For your convenience, the data have been
sorted in increasing order (Source: County and City Data Book, 12th
edition, U.S. Census Bureau). Percentage of Democratic Vote by
Counties in Georgia 31 33 34 34 35 35 35 36 38 38 38 39 40 40 40 40
41 41 41 41 41 41 41 42 42 43 44 44 44 45 45 46 46 46 46 47 48 49...

How Democratic is Georgia? County-by-county results are shown
for a recent election. For your convenience, the data have been
sorted in increasing order (Source: County and City Data
Book, 12th edition, U.S. Census Bureau).
Percentage of Democratic Vote by Counties in Georgia
31
33
34
34
35
35
35
36
38
38
38
39
40
40
40
40
41
41
41
41
41
41
41
42
42
43
44
44
44
45
45
46
46
46
46
47
48
49...

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