Question

(PSY 230) Statistics Use IBM SSP software to answer this problem.

According to the Center for Disease Control (2016), the mean height of adults ages 20 and older is about 66.5 inches (69.3 inches for males, 63.8 inches for females). We will test if the mean height of our sample data (n = 30) is significantly different than 66.5 inches (our test statistic) using a one-sample t-test. Conduct a two-tailed, one-sample t-test with alpha set at .05. Height of subjects (n = 30): 60.5, 70.5, 65, 66, 66, 62, 64.5, 67, 68, 65, 64, 62, 63, 63, 62.5, 65.6, 70, 72, 65, 63, 64.5, 66, 62, 61, 63, 64, 67, 65, 66, 64.5

Answer #1

From the given sample data : n=30 , ,

Therefore , The sample size is , n=30

The sample mean is ,

The sample standard deviation is ,

1) Hypothesis : Vs

Here , teh test is two-tailed test.

2) The critical values are ,

The Excel function is , =TINV(0.05,29)

The rejection rule is , Reject Ho , if or

3) The value of the test statistic is ,

4) Decision : Here ,

Therefore , reejct Ho.

5) Conclusion : Hence , there is sufficient evidence to support the claim that the mean height of adults ages 20 and older is different from 66.5 inches.

We found that the sample mean and sample standard deviation for
this sample data are 65.16 inches and 2.54 inches, respectively. Do
you find sufficient evidence in the sample data to support the
claim that the mean height of female engineering students at UH is
greater than 65 inches at α = 0.05? Answer this question using both
fixed-? approach and P-value approach. (Hint: for P-value approach,
you need to find P-value range using the t-table as demonstrated in
the...

data on the heights of 37 randomly selected female engineering
students at UH:
62 64 61 67 65 68 61 65 60 65 64 63 59
68 64 66 68 69 65 67 62 66 68 67 66 65
69 65 69 65 67 67 65 63 64 67 65
We found that the sample mean and sample standard deviation for
this sample data are 65.16 inches and 2.54 inches, respectively. Do
you find sufficient evidence in the sample data...

A randomly selected sample of college basketball players has the
following heights in inches.
63, 62, 71, 63, 63, 63, 69, 61, 68, 64, 62, 62, 65, 69, 69, 71,
66, 62, 63, 64, 66, 61, 63, 67, 65, 64, 63, 61, 68, 68, 67, 62
Compute a 95% confidence interval for the population mean height
of college basketball players based on this sample and fill in the
blanks appropriately.
______< μ <_____ (Keep 3 decimal places)

A randomly selected sample of college basketball players has the
following heights in inches.
65, 63, 67, 67, 67, 70, 63, 65, 62, 66, 70, 62, 68, 67, 69, 67,
61, 68, 67, 67, 64, 69, 67, 62, 63, 65, 63, 65, 71, 62, 64, 61
Compute a 95% confidence interval for the population mean height
of college basketball players based on this sample and fill in the
blanks appropriately.
___ < μ < ___ (Keep 3 decimal places)

A randomly selected sample of college basketball players has the
following heights in inches. 65, 62, 64, 61, 68, 61, 63, 70, 66,
71, 65, 62, 61, 66, 69, 71, 69, 67, 65, 65, 65, 71, 67, 63, 71, 67,
68, 63, 66, 70, 69, 64 Compute a 99% confidence interval for the
population mean height of college basketball players based on this
sample and fill in the blanks appropriately. < μ < (Keep 3
decimal places)

6 Use 10 bins with the first
centered on 61 in. and of width 1 in.
Construct a histogram for the female
student height data in Exercise 6.2.8.
The female students in an undergraduate engineering core course
at ASU self-reported their heights to the nearest inch. The data
follow. Construct a stem-and-leaf diagram for the height data and
comment on any important features that you notice. Calculate the
sample mean, the sample standard deviation, and the sample median
of height.
62...

Perform a Spearman Rank Correlation Coefficient Test at a
significance of 0.05. Use the following data points
Height (in.)
Foot Length (in.)
63
10
66
12
62.5
9.4
74
10.5
70
11.3
72
11.3
71
12.5
64
9.1
72
10.9
71
10
74
12.1
67
10
69
11.1
65
9.6
62.8
9
72
11.3
68.8
10.5
69
10
65.3
9
53
7
71
10.3
74
11.7
70
10
72
10.6
72.5
12.8
67
9.5
69
10.9
74
11.6
68
9...

find a 95% confidence interval for the mean electricity
consumption for all days having average temperature 73.6 degrees. Also,
find a 95% prediction interval for the electricity consumption for a new
day with average temperature 73.6 degrees.
temperatureavg kilowattsperhour
77.5 45
80 73
78 43
78.5 61
77.5 52
83 56
83.5 70
81.5 70
75.5 53
69.5 51
70 39
73.5 55
77.5 55
79 57
80 68
79 73
76 57
76 51
75.5 55
79.5 56
78.5...

Shoe Sizes:
10, 10.5, 11, 11, 7.5, 6.5, 8.5, 9, 10.5, 8, 8, 6, 7.5, 9, 6.5,
7, 6, 10.5, 7.5, 8, 9, 6.5, 8, 7, 12, 6.5, 9.5, 7, 8, 7
Height in inches:
61, 70, 69, 68, 72, 68, 63, 64, 65, 65, 67, 68, 62, 61, 62, 67,
63, 64, 68, 70, 62, 61, 64, 65, 66, 75, 64, 66,, 63, 66, 6
Based on our sample data, is there any linear correlation
between our heights and...

3. The heights of women in the fictional country of
Rohkia follow a Normal distribution. You’d like to perform a
hypothesis test to see if the average height of Rohkian women is
significantly more than 61 inches.
You select 8 women at random and measure their heights
(in inches), which are recorded in the table below.
61
61
62
64
67
63
64
62
a. Find the mean and standard deviation of the heights
in the sample. Use the...

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