A soda vending machine was designed to discharge an average of 7 fluid ounces per cup. In a test of the machine, ten cups of liquid were taken out of the machine and measured. The mean and standard deviation of the ten measurements were 7.151 ounces and .15 ounces, respectively. Do these data present sufficient evidence to indicate that the mean discharge differs from 7 ounces? a) In the space below write the value of the test statistic Answer for part 1 b) Then write the null hypothesis H0: p = Answer for part 2 c) Indicate what type of test should be done for the alternative hypothesis Answer d) Select the correct answer with α = 0.07
A soda vending machine was designed to discharge an average of 7 fluid ounces per cup. In a test of the machine, ten cups of liquid were taken out of the machine and measured. The mean and standard deviation of the ten measurements were 7.151 ounces and .15 ounces, respectively. Do these data present sufficient evidence to indicate that the mean discharge differs from 7 ounces? a) In the space below write the value of the test statistic Answer for part 1 b) Then write the null hypothesis H0: p = Answer for part 2 c) Indicate what type of test should be done for the alternative hypothesis Answer d) Select the correct answer with α = 0.07
A soda vending machine was designed to discharge an average of 7 fluid ounces per cup. In a test of the machine, ten cups of liquid were taken out of the machine and measured. The mean and standard deviation of the ten measurements were 7.151 ounces and .15 ounces, respectively. Do these data present sufficient evidence to indicate that the mean discharge differs from 7 ounces? a) In the space below write the value of the test statistic Answer for part 1 b) Then write the null hypothesis H0: p = Answer for part 2 c) Indicate what type of test should be done for the alternative hypothesis Answer d) Select the correct answer with α = 0.07
Transcribed Image Text:Una máquina expendedora de gaseosas fue diseñada para descargar en promedio 7 onzas de líquido
por taza. En una prueba de la máquina, diez tazas de líquido se sacaron de la máquina y se midieron.
La media y la desviación estándar de las diez mediciones fueron 7.151 onzas y.15 onzas,
respectivamente. ¿Estos datos presentan suficiente evidencia para indicar que la descarga media difiere de
7 onzas?
a) En el siguiente espacio escriba el valor del estadístico de prueba
b) A continuación escriba la hipótesis nula Ho : p =
c) Indique que tipo de prueba se debe hacer para la hipótesis alternativa
d) Seleccione la respuesta correcta con a = 0.07
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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