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jmoney531
13.02.2020 •
Mathematics
In a survey, 31 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $39 and standard deviation of $9. Construct a confidence interval at a 90% confidence level. Give your answers to one decimal place.
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Ответ:
u = (41.659, 36.341)
Step-by-step explanation:
Constructing a 90% confidence interval for mean is given by the formulae below.
u = x + Zα/2 * σ/√n This is the upper limit
u = x - Zα/2 * σ/√n This is the lower limit.
u = population mean
x = sample mean = 39
σ = population standard deviation = 9
Zα/2 = Z score for a two tailed test with an a level of significance = 1.645 ( for 90% confidence level)
Upper limit
u = 39 + 1.645 * (9/√31)
u = 39 + 1.645 * (1.616)
u = 39 + 2.6590
u = 41.659
Lower limit
u = 39 - 1.645 * (9/√31)
u = 39 - 1.645 * (1.616)
u = 39 - 2.6590
u = 36.341
Ответ: