Question

The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil...

The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in sample mean x bar =94.32 and the standard deviation s = 1.2. Assume that the distribution of melting point is normal. Test H0: μ=95 verses Ha: μ<95. using a significance level of 0.01.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

The null and alternative hypothesis is ,

H0 :   = 95

Ha : < 95

Test statistic (t) =

= ( - ) / s / n

= (94.32 - 95) / 1.2 / 16

Test statistic = -2.27

P-value = 0.0193

= 0.01

P-value >

Fail to reject the null hypothesis .

There is insufficient evidence to support the claim.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The melting point of 16 samples of a brand of hydrogenatd vegetable oil was determined and...
The melting point of 16 samples of a brand of hydrogenatd vegetable oil was determined and the sample mean came out to be 95.52. Assume that the distribution of the melting point is normal with the standard deviation of 1.5. Test H0 : µ = 95 against Ha : µ 6= 95 at the 10% significance level. Do the problem in two ways- first by obtaining the rejection region and second, by using the p-value.
ags of a certain brand of tortilla chips claim to have a net weight of 14...
ags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised so he intends to test the following hypotheses: H0: μ = 14, Ha: μ < 14 To do this, he selects 16 bags...
The melting point (in degrees Fahrenheit) for a randomly selected tub of margarine of a certain...
The melting point (in degrees Fahrenheit) for a randomly selected tub of margarine of a certain brand is known to have a normal distribution with a SD, σ = 1.21. A sample of n = 5 tubs of margarine is drawn. The sample mean of melting temperature is computed to be ¯x = 95.3. (a) Construct a 95% confidence interval for the mean melting temperature. (b) Construct a 99% confidence interval for the mean melting temperature. Compare the width of...
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...
The level of calcium in the blood of healthy young adults follows a normal distribution with...
The level of calcium in the blood of healthy young adults follows a normal distribution with mean μ = 10 milligrams per deciliter and standard deviation σ = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The mean of these 100 measurements is  x bar = 9.8.  Is this evidence that the mean calcium level in the population from which these women come is less than 10?  To answer this, test...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.32 and that x = 5.21. (Use α = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. H0:...
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:...
The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution...
The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see if the mean time μ μ is changed by vigorous exercise, so you have a group of 15 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of x¯=27.2 x ¯ = 27.2 seconds to complete the maze. Use...
Your research supervisor wants you to test the null hypothesis H0: μ = 50 against the...
Your research supervisor wants you to test the null hypothesis H0: μ = 50 against the one-sided alternative hypothesis Ha: μ > 50. The population has a normal distribution with a standard deviation of 12.0. You are told to use a sample size of 121 and a rejection region of x bar > 52 . a) What is the power of this test of significance under the alternative hypothesis that the mean  μ  is 53 .  State your answer to four digits to...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test...
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.32 and that x = 5.22. (Use α = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. H0:...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT