what kind of error did you probably make in part (d)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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1) Use R for all parts of this problem. Use the data on heights you collected a few weeks ago.

(a) Do a t-test and test the following:

H0: μ = y for your recitation section vs. H1: μ ≠ y
Use α = .01.
(if, for example, your y = 64.72, then you would do H0: μ = 64.72)

(c) now repeat but add 4.75 to your y (so you'd do H0: μ = 69.47 ( = 64.72 + 4.75))

(d) repeat (c) but use α = .00000000001.

(You do not need to set α in R; make sure you understand why this is true!!) ← Don't ignore this!!

(e) what kind of error did you probably make in part (d)? (Just write out the answer here)
R instructions:

To test, for example, that μ = 64.72, you need to give R this value. Just do: t.test(height,mu = 64.72)

(assuming you named your variable “height”; of course, you may have to do data$height or something similar depending on how you have your data in R).

The instructions for confidence intervals were given in a previous homework assignment (remember that R defaults to a 95% confidence interval).

Since R gives you p-values ( = probabilities) you don't need to calculate or use t* (although R automatically prints this if you want to use it).

Pleased only solve bold problems

 

 

 

 

 

 

Homework 5 and 6 data

 

 

height

sex

hand

 

 

70

F

R

 

 

69

M

R

 

 

70.5

M

R

 

 

65

F

R

 

 

70

M

R

 

 

63

F

L

 

 

63

F

R

 

 

61

F

R

 

 

71

M

R

 

 

63

F

R

 

 

70

M

R

 

 

61

F

L

 

 

71

M

R

 

 

65

M

R

 

 

73

M

R

 

 

63

F

R

 

 

72

M

R

 

 

68

M

L

 

 

74

M

R

 

 

74

M

R

 

 

58

F

R

 

 

68

F

R

 

 

64

F

R

 

 

67

M

R

 

 

65

F

R

 

 

64

F

R

 

 

70

F

R

 

 

67

M

R

 

 

62

F

R

 

 

65

F

L

 

 

66

F

R

 

 

74

M

R

 

 

70

M

R

 

 

63

F

R

 

 

65

F

R

 

 

63

F

R

 

 

62

F

R

 

 

66

M

R

 

 

73

M

R

 

 

71

M

R

 

 

62

F

L

 

 

62

F

R

 

 

66

M

R

 

 

60

M

R

 

 

68

F

R

 

 

70

M

L

 

 

64

F

R

 

 

67

F

R

 

 

63

M

R

 

 

63

F

R

 

 

66

F

R

 

 

61

M

R

 

 

65

F

R

 

 

65

F

R

 

 

68

M

R

 

 

61

M

R

 

 

61

M

R

 

 

60

F

R

 

 

62

F

R

 

 

67

F

R

 

 

61

F

R

 

 

66

F

R

 

 

65

F

R

 

 

73

M

R

 

 

61

F

R

 

 

65

F

R

 

 

58

F

R

 

 

66

F

R

 

 

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