A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library?(1 point)
patrons
To estimate the number of patrons who borrow novels, you can use a proportion:
3/80 = x/345
Solving for x:
x = (3/80) * 345
x ≈ 12.94
Approximately 13 patrons out of 345 borrow novels when they visit the library.
Statistics Unit Test
4 of 154 of 15 Items
Question
Use the table to answer the question.
Group A 18 20 46 34 58 31 41
Group B 15 21 32 42 29 57 39The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times. Round your answers to one decimal place.(2 points)
The mean time Group A spent shopping is
minutes.
The mean time Group B spent shopping is
minutes.
The mean times Group A and Group B spent shopping differ by
minutes.
To find the mean time each group spent shopping:
Group A:
Mean = (18+20+46+34+58+31+41) / 7
Mean = 248 / 7
Mean ≈ 35.43 minutes
Group B:
Mean = (15+21+32+42+29+57+39) / 7
Mean = 235 / 7
Mean ≈ 33.57 minutes
The mean time Group A spent shopping is approximately 35.43 minutes, and the mean time Group B spent shopping is approximately 33.57 minutes.
To determine the difference in the mean times:
Difference = Mean time for Group A - Mean time for Group B
Difference = 35.43 - 33.57
Difference ≈ 1.86 minutes
The mean times Group A and Group B spent shopping differ by approximately 1.86 minutes.
To estimate the number of patrons who borrow novels, we can use proportions.
First, we need to calculate the proportion of patrons who borrow novels from the 80 patrons surveyed. We can do this by dividing the number of patrons who borrow novels (3) by the total number of patrons surveyed (80):
Proportion = (number of patrons who borrow novels) / (total number of patrons surveyed)
= 3 / 80
Next, we can use this proportion to estimate the number of patrons who borrow novels from the total number of patrons in the library (345):
Number of patrons who borrow novels = (Proportion) * (total number of patrons in the library)
= (3 / 80) * 345
Calculating this expression will give us the estimated number of patrons who borrow novels from the library.