Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level.Starting cholesterol levelEnding cholesterol level170170220230110130240220200190180150190200360300280300260240NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)Answer the following: A Hypothesis Tests - 2 samplesHoliday Hits Radio - Now Playir xSolved: One of the questions in x b The mean number of English c xOne Of The Questions In A Stu x +webassign.net/web/Student/Assignment-Responses/submit?dep=24266165&tags=autosave#question3964171_9GPart (g)Part (h)Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)a =(ii) Decision:reject the null hypothesisdo not reject the null hypothesis(iii) Reason for decision:Since p-value < a, we do not reject the null hypothesis.Since p-value > a, we do not reject the null hypothesis.Since p-value > a, we reject the null hypothesis.Since p-value < a, we reject the null hypothesis.(iv) Conclusion:There is sufficient evidence to show that the cholesterol levels were significantly lowered on the low-fat diet.There is not sufficient evidence to show that the cholesterol levels were significantly lowered on the low-fat diet.Part (i)Explain how you determined which distribution to use.The t-distribution will be used because the samples are independent and the population standard deviation is not known.The t-distribution will be used because the samples are dependent.The standard normal distribution will be used because the samples are independent and the population standard deviation is known.The standard normal distribution will be used because the samples involve the difference in proportions. A Hypothesis Tests - 2 samplesHoliday Hits Radio - Now Playir xSolved: One of the questions in x b The mean number of English c XOne Of The Questions In A Stu X +webassign.net/web/Student/Assignment-Responses/submit?dep=24266165&tags=autosave#question3964171_9GPart (d)State the distribution to use for the test. (Enter your answer in the form z or tof where df is the degrees of freedom.)Part (e)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)---Select--- V%DPart (f)What is the p-value? (Round your answer to four decimal places.)Explain what the p-value means for this problem.O If Ho is false, then there is a chance equal to the p-value that the sample average difference between ending and starting cholesterol levels is less than -8.O If Ho is true, then there is a chance equal to the p-value that the sample average difference between ending and starting cholesterol levels is at most -8.O If Ho is false, then there is a chance equal to the p-value that the sample average difference between ending and starting cholesterol levels is at most -8.O If Ho is true, then there is a chance equal to the p-value that the sample average difference between ending and starting cholesterol levels is less than -8.Part (g)O Part (h)Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)a =(ii) Decision:reject the null hypothesisdo not reject the null hypothesis(iii) Reason for decision:Since p-value < a, we do not reject the null hypothesis.ILI

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Description: Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level.Starting choles

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Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level.

Starting cholesterol level	Ending cholesterol level
170	170
220	230
110	130
240	220
200	190
180	150
190	200
360	300
280	300
260	240

NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Answer the following:

A Hypothesis Tests - 2 samples
Holiday Hits Radio - Now Playir x
Solved: One of the questions in x b The mean number of English c x
One Of The Questions In A Stu x +
webassign.net/web/Student/Assignment-Responses/submit?dep=24266165&tags=autosave#question3964171_9
G
Part (g)
Part (h)
Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.
(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
a =
(ii) Decision:
reject the null hypothesis
do not reject the null hypothesis
(iii) Reason for decision:
Since p-value < a, we do not reject the null hypothesis.
Since p-value > a, we do not reject the null hypothesis.
Since p-value > a, we reject the null hypothesis.
Since p-value < a, we reject the null hypothesis.
(iv) Conclusion:
There is sufficient evidence to show that the cholesterol levels were significantly lowered on the low-fat diet.
There is not sufficient evidence to show that the cholesterol levels were significantly lowered on the low-fat diet.
Part (i)
Explain how you determined which distribution to use.
The t-distribution will be used because the samples are independent and the population standard deviation is not known.
The t-distribution will be used because the samples are dependent.
The standard normal distribution will be used because the samples are independent and the population standard deviation is known.
The standard normal distribution will be used because the samples involve the difference in proportions.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Starting cholesterol level	Ending cholesterol level
170	170
220	230
110	130
240	220
200	190
180	150
190	200
360	300
280	300
260	240

Starting cholesterol level	Ending cholesterol level
170	170
220	230
110	130
240	220
200	190
180	150
190	200
360	300
280	300
260	240

Starting cholesterol level	Ending cholesterol level
170	170
220	230
110	130
240	220
200	190
180	150
190	200
360	300
280	300
260	240