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Z SCORES    Z= X-XS              X = actual data,  X = mean, S = standard deviation Is a daily high temperature 35° Fahrenheit in Provo above or below average? Compute the Z score for a daily high temperature of 35° Fahrenheit in Provo

Z SCORES    Z= X-XS              X = actual data,  X = mean, S = standard deviation Is a daily high temperature 35° Fahrenheit in Provo above or below average? Compute the Z score for a daily high temperature of 35° Fahrenheit in Provo

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Z SCORES    Z= X-XS              X = actual data,  X = mean, S = standard deviation

  1. Is a daily high temperature 35° Fahrenheit in Provo above or below average?

  2. Compute the Z score for a daily high temperature of 35° Fahrenheit in Provo
The image presents two histograms comparing the frequencies of temperature maximums in Provo and San Francisco, measured in degrees Fahrenheit. ### Histogram (a): Temperature Maximums, Provo - **X-axis:** Temperature in degrees Fahrenheit, ranging from 30 to 105. - **Y-axis:** Frequency, with a maximum value of 40. - **Description:** - The distribution is somewhat uniform with peaks around 45°F, 75°F, and a notable peak at around 90°F. - The temperatures are spread across a wide range, from as low as 30°F to above 90°F. - Most frequencies hover around 10 to 30, with a distinct peak reaching up to 40. ### Histogram (b): Temperature Maximums, San Francisco - **X-axis:** Temperature in degrees Fahrenheit, ranging from 30 to 105. - **Y-axis:** Frequency, with a maximum value of 80. - **Description:** - The distribution is bell-shaped, peaking prominently at around 65°F. - Temperatures are more concentrated, primarily ranging from 50°F to 75°F. - Frequencies are relatively high around the peak and taper off at the extremes. These histograms illustrate the temperature variations and frequency of maximum temperatures in Provo and San Francisco, highlighting geographical differences in climate patterns.
Transcribed Image Text:The image presents two histograms comparing the frequencies of temperature maximums in Provo and San Francisco, measured in degrees Fahrenheit. ### Histogram (a): Temperature Maximums, Provo - **X-axis:** Temperature in degrees Fahrenheit, ranging from 30 to 105. - **Y-axis:** Frequency, with a maximum value of 40. - **Description:** - The distribution is somewhat uniform with peaks around 45°F, 75°F, and a notable peak at around 90°F. - The temperatures are spread across a wide range, from as low as 30°F to above 90°F. - Most frequencies hover around 10 to 30, with a distinct peak reaching up to 40. ### Histogram (b): Temperature Maximums, San Francisco - **X-axis:** Temperature in degrees Fahrenheit, ranging from 30 to 105. - **Y-axis:** Frequency, with a maximum value of 80. - **Description:** - The distribution is bell-shaped, peaking prominently at around 65°F. - Temperatures are more concentrated, primarily ranging from 50°F to 75°F. - Frequencies are relatively high around the peak and taper off at the extremes. These histograms illustrate the temperature variations and frequency of maximum temperatures in Provo and San Francisco, highlighting geographical differences in climate patterns.
Expert Solution
Step 1

Given information:

The histogram given of the maximum temperature in Provo.

Formula:

Z score=X-µS

Where,

X = actual data

µ= mean

S = standard deviation

Mean(µ)=∑i=1nXifiNWhere,N=Total frequencyStandard deviation (S):S=∑i=1nfi(Xi-µ)2N-1

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