A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 9.01 ounces and 0.16 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the o.1 level of significance, to conclude that the true mean discharge, µ, differs from 9 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis Hj- H : H, :0 (b) Determine the type of test statistic to use. (Choose one) O=0 Oso D20 (c) Find the value of the test statistic. (Round to three or more decimal places.)

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A coin-operated drink machine was designed to discharge a mean of 9
ounces of coffee per cup. In a test of the machine, the discharge
amounts in 19 randomly chosen cups of coffee from the machine were
recorded. The sample mean and sample standard deviation were 9.01
ounces and 0.16 ounces, respectively. If we assume that the discharge
amounts are normally distributed, is there enough evidence, at the o.1
level of significance, to conclude that the true mean discharge, u, differs
from 9 ounces?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places
and round your answers as specified in the table. (If necessary, consult
a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H .
H, :0
H, :0
믐
(b) Determine the type of test statistic to use.
O=0 Oso
O20
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
O and O
(e) At the 0.1 level of significance, can we conclude that the true mean discharge
differs from 9 ounces?
OYes ONo
Transcribed Image Text:A coin-operated drink machine was designed to discharge a mean of 9 ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 9.01 ounces and 0.16 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the o.1 level of significance, to conclude that the true mean discharge, u, differs from 9 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H . H, :0 H, :0 믐 (b) Determine the type of test statistic to use. O=0 Oso O20 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) O and O (e) At the 0.1 level of significance, can we conclude that the true mean discharge differs from 9 ounces? OYes ONo
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