A company claims that its best-selling product contain more than 40 qualities. This claim is tested at 1% significance. Evidence suggests that the product is normally distributed. Information from a computer output of the hypothesis test is listed as follows.Sample mean = 42.6 P-value = 0.008Sample standard deviation = 3.7 Sample size = 15.Test statistic t = 2.72155 Critical value t = 2.62610a) State the hypothesis and identify which of them is the claimb) Is this a right-tailed, left-tailed, or two-tailed test? Explain in one sentence.c) How was the p – value obtained?d) From the observed P-value, what would you conclude and why?e) Is this a small sample or a large sample test? Explain.f) By comparing the test statistic to the critical value, what would you conclude and why?g) Is there a conflict in this output using both the critical value and the P – value methods?

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Description: A company claims that its best-selling product contain more than 40 qualities. This claim is tested at 1% significance. Evidence suggests that the product is normally distributed. Information from a computer output of the hypothesis test is listed as

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A company claims that its best-selling product contain more than 40 qualities. This claim is tested at 1% significance. Evidence suggests that the product is normally distributed. Information from a computer output of the hypothesis test is listed as follows.

Sample mean = 42.6 P-value = 0.008

Sample standard deviation = 3.7 Sample size = 15.

Test statistic t = 2.72155 Critical value t = 2.62610

a) State the hypothesis and identify which of them is the claim
b) Is this a right-tailed, left-tailed, or two-tailed test? Explain in one sentence.
c) How was the p – value obtained?
d) From the observed P-value, what would you conclude and why?
e) Is this a small sample or a large sample test? Explain.
f) By comparing the test statistic to the critical value, what would you conclude and why?
g) Is there a conflict in this output using both the critical value and the P – value methods?

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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