Given that, the null and the alternative hypotheses are,
a) z = 3.3,
p-value = P(Z > 3.3) = 1 - P(Z < 3.3) = 1 - 0.9995 = 0.0005
p-value = 0.001 ( rounded to three decimal places)
Here, p-value = 0.001 <
so, we reject H0.
Conclusion: Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
b) z = 1.8,
p-value = P(Z > 1.8) = 1 - P(Z < 1.8) = 1 - 0.9641 = 0.0359
p-value = 0.036 ( rounded to three decimal places)
Here, p-value = 0.036 >
so, we fail to reject H0.
Conclusion: Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
c) z = -0.3,
p-value = P(Z > -0.3) = P(Z < 0.3) = 0.6179
p-value = 0.618 ( rounded to three decimal places)
Here, p-value = 0.618 >
so, we fail to reject H0.
Conclusion: Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
The paint used to make lines on roads must reflect enough light to be clearly visible...
The paint used to make lines on roads must reflect enough light to be clearly visible at night. Lot u denote the true average reflectometer reading for a new type of paint under consideration. A test of Ho: μ-20 versus Ha μ > 20 will be based on a random sample of size n from a normal population distribution what core us is appropriate in each of the following situations? (Round your P-values to three decimal places.) (a) ,, =...
/3 peiets The paint used to make ines on roads must reflect enough-ght to be clearly visitie at night. Let μ denote the tue average-eflectormeter reading for new type of paint under cons deration A test of Mg: μι-20 versus H > 20 w be based on a random sampie of size from a normal population distnation. Whet concusion is appropniate in each of the follewing situations? (Round your P-values to three decimal places (a) 2 3.3,a-0.0 value State the...
Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Let μ denote the true average reflectometer reading for a new type of paint under consideration. A test of H0: μ = 20 versus Ha: μ > 20 based on a sample of 15 observations gave t = 2.9. What conclusion is appropriate at each of the following significance levels? (a) α = 0.05 Reject H0 OR Fail to reject H0 (b) α...
Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Let µ denote the true average reflectometer reading for a new type of paint under consideration. A test of H0: µ = 20 versus Ha: µ > 20 based on a sample of 15 observations gave t = 3.1. What conclusion is appropriate at each of the following significance levels? (a) alpha= .05 a. Reject H0 b. Fail to reject H0 (b) alpha...
The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let ? denote the true average reflectometer reading for a new type of paint under consideration. A test of H0: ? = 20 versus Ha: ? > 20 will be based on a random sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.) (a) n =...
The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let ? denote the true average reflectometer reading for a new type of paint under consideration. A test of H0: ? = 20 versus Ha: ? > 20 will be based on a random sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.) (a) n =...
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The highway department is testing two types of reflecting paint for concrete bridge end pillars. The two kinds of paint are alike in every respect except that one is orange and the other is yellow. The orange paint is applied to 12 bridges, and the yellow paint is applied to 12 bridges. After a period of 1 year, reflectometer readings were made on all these bridge end pillars. (A higher reading means better visibility.) For the orange paint, the mean...
My Notes Ask Your Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ-7. The hypotheses H0: μ 74 and Hai μ < 74 are to be tested using a random sample of n25 observations. (a) How many standard deviations (of X) below the null value is x 72.3? (Round your answer to two decimal places.) 1 standard deviations (b) If x72.3, what is the conclusion using a 0.002 Calculate the test statistic...