Question

Polymer composite materials have gained popularity because they have high strength to weight ratios and are...

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.5 and the sample standard deviation was 1.3. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value? (Use α = 0.05.)

State the appropriate hypotheses.

H0: μ = 48
Ha: μ < 48H0: μ = 48
Ha: μ > 48    H0: μ < 48
Ha: μ = 48H0: μ = 48
Ha: μ ≠ 48H0: μ > 48
Ha: μ = 48


Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

t =
P-value =

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Polymer composite materials have gained popularity because they have high strength to weight ratios and are...
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.9 and the sample standard deviation was 1.2. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48...
Polymer composite materials have gained popularity because they have high strength to weight ratios and are...
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.7 and the sample standard deviation was 1.4. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48...
The accompanying data is on cube compressive strength (MPa) of concrete specimens. 112.5      97.0     ...
The accompanying data is on cube compressive strength (MPa) of concrete specimens. 112.5      97.0      92.6      86.0      102.0 99.1      95.8      103.5      89.0      86.6 (a) Is it plausible that the compressive strength for this type of concrete is normally distributed? The normal probability plot is not acceptably linear, suggesting that a normal population distribution is plausible. The normal probability plot is acceptably linear, suggesting that a normal population distribution is plausible.     The normal probability...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 65. Let μ denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? H0: μ = 1300 Ha: μ...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 67. Let μ denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? H0: μ > 1300 Ha: μ...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 60. Let μ denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? (Choose of the following) 1. H0:...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Grade Sample Size Sample Mean (kg/mm^2) sample SD AISI 1064 m=126 x bar = 102.1   s1 = 1.2 AISI 1078   n = 126 y bar = 128.5 s2 = 2.0 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses...
When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive has been developed...
When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive has been developed to eliminate the necessity of a dry field. However, there is a concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. Tests on a sample of 27 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of 2.61 MPa, and a standard deviation of 3.9 MPa. Orthodontists want to...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have...
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 59.Let μ denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? (b) Let X denote the sample average...
The makers of Excedrin Extra Strength advertise that its fast-acting formula delivers extra strength headache relief...
The makers of Excedrin Extra Strength advertise that its fast-acting formula delivers extra strength headache relief in no more than 15 minutes, on average. A consumer advocacy group believes that this claim is incorrect, and that the true average headache relief time is significantly longer than 15 minutes. To test their belief, the consumer advocacy group took a random sample of 45 hospital patients who were currently experiencing a headache and administered a dose of Excedrin Extra Strength pain reliever....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT