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Lesson: 9.6 Applications: Distance Rate-Ti...
ALEXANDRIA HUNTLEY
Question 1 of 10, Step 1 of 1
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A college student realized that he was spending too much money on movies. For the remaining 5 months of the year his goal is to spend a mean of S40 a month
towards movies. How much can he spend in December, taking into consideration that in the other 4 months he spent $35, S65. S20, and $70, respectively? Round
your answer to two decimal places, if necessary
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d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;