Confidence interval using a t-distribution for mean weight


Assignment:

Q1: A Company surveys 32 randomly selected employees and ask the number spent working at home after hours during a week. The results as shown below:

10

5

0

8

0

3

4

4

2

3

8

1

4

1

7

5

7

6

2

1

0

5

7

5

10

5

3

6

6

2

2

3

Using Excel, construct a 90% confidence interval for the mean hours worked.

Q2: The weights (in ounces) of 12 randomly sampled cakes as shown in the table below.

17

10

15

14

16

12

16

13

20

11

17

18

Using Excel, constructed a 98% confidence interval using a t-distribution for the mean weight.

Q3: In a survey of 942 musicians, 715 said they began playing an instrument while in elementary school.

Using Excel, construct a 90% confidence interval for the proportion of the musicians who began playing an instrument while in elementary school.

Q4: A restaurant wants to estimate the average number of customer who ask for refills on coffee. They want to be within 5 of the true mean when using a confidence interval of 99%. The standard deviation is estimated at 30.

How many customers must they sample?

Q5: A community wants to estimate the proportion of residents who are pet owners. They want to be within 8% of the true proportion when using a confidence interval of 90%.

How many residents must be sampled if no preliminary estimate is available?

Remember when calculation a sample size, we need to round up to the next whole number (not to the closest whole number) if needed.

Attachment:- Distribution chart.rar

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Basic Statistics: Confidence interval using a t-distribution for mean weight
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