Question

the accompanying data and frequency distribution are 45 drive-through service times for burger king lunches. times begin when a vehicle stops at the order window and end when the vehicle leaves the pickup window. lunch times were measured between 11:00 am and 2:00 pm. use the data and frequency distribution to construct a histogram. does the histogram appear to be normal? click the icon to view the service times data and frequency distribution. construct the histogram. choose the correct graph below. options a, b, c, d with histograms

Explanation:

To determine if the histogram is normal, we check the shape: a normal distribution has a bell - shaped curve, symmetric around the mean, with frequencies increasing to a peak then decreasing.

Step 1: Analyze the Histogram's Shape

A normal (Gaussian) distribution's histogram should be symmetric, with the highest frequency (peak) in the middle and frequencies tapering off on both sides. We need to visually inspect the given histograms (even though the data for the frequency distribution of service times is partially visible, the key is the shape pattern). If the histogram has a single peak, is symmetric about the peak, and the frequencies increase to the peak and then decrease in a roughly bell - shaped manner, it is normal.

Step 2: Evaluate the Options (assuming the correct histogram with normal shape)

If the histogram (e.g., one of the options) has a bell - shaped, symmetric form with frequencies increasing to a central peak and then decreasing, then the answer is that the histogram appears to be normal (or not, depending on the actual shape). But from the context of typical drive - through service time distributions (and assuming the correct histogram has the normal shape characteristics), the answer related to the normality (after constructing the histogram with the correct frequency distribution) would be that if the histogram is bell - shaped, symmetric, with frequencies increasing to a peak and then decreasing, it is normal.

Since the problem is about constructing a histogram and checking normality, and the key is the shape of the histogram (symmetric, bell - shaped), and assuming the correct histogram (after using the service times and frequency distribution) has a normal shape:

Answer:

The histogram appears to be normal (assuming the constructed histogram has a bell - shaped, symmetric distribution of frequencies around a central peak, with frequencies increasing to the peak and then decreasing). If we consider the options (though the full data for the frequency distribution of service times is needed to construct the exact histogram, the concept is about the normal distribution shape), the answer related to the normality (after proper construction) is that it is normal (or not, but typically drive - through service times can have a normal - like distribution if the data is appropriate).

(Note: If we had the exact frequency distribution of the 45 drive - through service times, we could construct the histogram by:

1. Determining the class intervals (from the service time data, e.g., if service times are between 70 - 270 seconds, we can create classes like 70 - 110, 110 - 150, 150 - 190, 190 - 230, 230 - 270).
2. Plotting the frequency of each class as the height of the bar in the histogram.
3. Then checking the shape for normality.)