Question

In: Statistics and Probability

Strength of concrete: The compressive strength, in kilopascals, was measure for concrete blocks from five different...

Strength of concrete: The compressive strength, in kilopascals, was measure for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows:

Block

1

2

3

4

5

After 3 days

1341

1316

1352

1355

1327

After 6 days

1376

1373

1366

1384

1358

Can you conclude that the mean strength after three days differs from the mean strength after six days? Use the α = 0.05 level of significance.

  1. State the null and alternative hypothesis
  1. Compute the p-value and Testing Value
  1. Do you reject the null hypothesis? Explain?
  1. Can you conclude that the mean strength after three days differs from the mean strength after six days?

Solutions

Expert Solution

Let us denote the difference

d = After 3 days - After 6 days

There is sufficient evidence to support the claim that  the mean strength after three days differs from the mean strength after six days


Related Solutions

Strength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks from five different...
Strength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six after pouring. The data are as follows. Can you conclude that the mean strength after three days is less than the mean strength after six days? Let U1 represent the mean strength after three days and ud=u1-u2, Use the a=0.01 level and the critical value method with the table. 1. State the appropriate null and alternate hypotheses....
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is approximately Normally distributed...
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is approximately Normally distributed with variance ? 2 = 1000 psi2 . A random sample of ? = 12 specimens has a mean compressive strength of ?̅= 3179.5 psi. Let ? be the true mean compressive strength of all specimens from this type of concrete. (a) Test ?0: ? = 3200 against ??: ? < 3200 at ? = 0.05. Give the rejection region. (b) If the true...
The compressive strength of concrete is being studied, and four different mixing techniques are being investigated....
The compressive strength of concrete is being studied, and four different mixing techniques are being investigated. The following data have been collected to test if the mixing techniques affect the strength of the concrete. Mixing Technique Compressive strength (psi) A 3125 3200 2800 2600 B 3000 3300 2900 2700 C 2865 2975 2985 2600 D 2890 3150 3050 2765 a. Find the summary statistics for compressive strength of each mixing technique. b. State the null and alternative for the above...
The compressive strength of concrete is normally distributed with ? = 2500 psi and ? =...
The compressive strength of concrete is normally distributed with ? = 2500 psi and ? = 50 psi. Find the probability that a random sample of n = 10 specimens will have a sample mean diameter that falls in the interval from 2499 psi to 2610 psi.
Let X be a random variable representing the compressive strength of concrete cubes from a particular...
Let X be a random variable representing the compressive strength of concrete cubes from a particular mix. X has a normal distribution with mean and standard deviation 60.14 and 5.02 N/mm2, respectively. a. The probability that the compressive strength of a cube is between its mean value and c is 0.30. In other words P(μ £ X £ c) = 0.30, where μ is the mean value given above. What is the value of c? b. Assume that each cube...
The accompanying data was obtained in an experiment to investigate whether compressive strength of concrete cylinders...
The accompanying data was obtained in an experiment to investigate whether compressive strength of concrete cylinders depends on the type of capping material used (factor A) or variability in different batches (factor B). Each number is a cell total (xij.) based on K = 3 observations. Batch 1 2 3 4 5 Capping Material 1 1844 1941 1934 1888 1799 2 1778 1850 1793 1785 1626 3 1804 1892 1890 1890 1758 In addition, ΣΣΣxijk2 = 16,806,946 and ΣΣxij.2 =...
Q 1: Design a concrete mix for the following performances and ingredients: * Compressive strength at...
Q 1: Design a concrete mix for the following performances and ingredients: * Compressive strength at 28 days = 32 MPa, slump 80 mm * Crushed coarse aggregate of max size 20 mm readily available * Fine aggregate is river sand, fineness modulus = 2.5 * Cement Strength Class = 42.5 * Specific gravity of combined aggregate =2.6 * Water absorption of coarse aggregate = 0.8% * Water absorption of fine aggregate = 0.5% Q 2: Design a concrete mix...
Design a concrete mixture that has a 28 day compressive strength of 4000 psi and a...
Design a concrete mixture that has a 28 day compressive strength of 4000 psi and a maximum size aggregate of 0.75 in. The concrete would be placed in a column exposed to freezing and thawing and will be in contact with a soil that has a sulfate content of 0.3%. Step 1: Assemble information from specifications and local materials Cement: Use any type and assume a specific gravity of 3.15 Coarse Aggregate: Bulk Specific Gravity (BSG) – 2.65 Absorption Capacity...
Explain the Water to Cement ratio effect on the Compressive Strength of Concrete Cylinders. What is...
Explain the Water to Cement ratio effect on the Compressive Strength of Concrete Cylinders. What is the normal range of the Water to Cement ratio utilized in a concrete mix design?
The compressive strength of concrete is being tested by a civil engineer who tests 12 specimens...
The compressive strength of concrete is being tested by a civil engineer who tests 12 specimens and obtains the following statistics: sample mean, x=2260, and standard deviation, s=35. What is the critical t value that should be used to construct a 95 two-sided confidence interval? Construct a 95% two-sided confidence interval for the true mean compressive strength. Clearly interpret your confidence interval. What is the critical value that should be used to construct a 95% lower confidence interval? Construct a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT