Question

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

Answer 1

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.

Answer 2

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.

Answer 3

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.