Question

In: Statistics and Probability

***Using excel to solve the below*** A business manager wanted to know if there was a...

***Using excel to solve the below***

A business manager wanted to know if there was a relationship between daily temperature measured in degrees Fahrenheit and number of employees who called-in sick each day. He collected the following data over 10 days: Daily Temperature: 54 70 67 57 54 63 72 72 54 71 # Called-in Sick: 33 32 30 37 34 28 31 27 31 26 1.

A. Obtain the mode, median, and mean for Daily Temperature only.

B. Obtain the range for Daily temperature.

C. Find the standard deviation for Daily temperature.

D. Provide an interpretation for your answer to part C.

E. What is the z-score for the daily temperature of 54?

F. Provide an interpretation of the z-score obtained in part E.

G. What percentage of temperatures are expected to be in the range z = -2.1 to z = +.7?

H. Obtain a histogram with four intervals for the Daily Temperature data only

Solutions

Expert Solution

Solution:

The excel steps are:

Enter the Daily Temperature in excel as:

Click on Data > Data Analysis > Descriptive Statistics > OK

Input range: Select all the data range including the Label

Mark the Labels in the first row

Choose the output range

Mark the Summary Statistics and click OK

The output is given below:

Daily Temperature
Mean 63.4
Standard Error 2.51307691
Median 65
Mode 54
Standard Deviation 7.947046971
Sample Variance 63.15555556
Kurtosis -2.071614585
Skewness -0.19612134
Range 18
Minimum 54
Maximum 72
Sum 634
Count 10

A. Obtain the mode, median, and mean for Daily Temperature only.

Answer: Mode = 54, Median = 65, Mean = 63.4

B. Obtain the range for Daily temperature.

Answer: Range = 18

C. Find the standard deviation for Daily temperature.

Answer: The standard deviation is 7.9470

D. Provide an interpretation for your answer to part C.

Answer: The average deviation of data from the mean is 7.9470

E. What is the z-score for the daily temperature of 54?

F. Provide an interpretation of the z-score obtained in part E.

Answer: The z-score = -1.18 means, the value 54 is 1.18 standard deviations below the mean value.

G. What percentage of temperatures are expected to be in the range z = -2.1 to z = +.7?

Answer: According to the normal distribution the percentage of temperatures that are expected to be in the range z = -2.1 to z = +.7 is:

Using the standard normal table, we have:

H. Obtain a histogram with four intervals for the Daily Temperature data only

Answer: The frequency distribution for the given data is:

Class Interval Frequency
54 - 58 4
59 - 63 1
64 - 68 1
69 - 73 4

orchestra answered 2 years ago
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