After a 15% price reduction, a boat sold for $15,200. what was the boats price before the reduction?
1 answer:
Given that after a 15% price reduction, a boat sold for $15,200. Now we have to find the boats price before the reduction.
Let the boats price before the reduction = x
Reduction = 15% of original price = 15% of x = 0.15x
Then selling price will be difference of original price and reduction
Selling price = Origina price - Reduction
15200 = x - 0.15x
15200 = 0.85x
17882.3529412=x
Hence origina price before reduction is approx $17882.35
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Answer:
There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.
Step-by-step explanation:
The missing data for the random sample of 80 days between December and April with snowfall is:
Month Days
December 16
January 11
February 16
March 18
April 19
The Chi-square goodness of fit test would be used to determine whether the snow falls in Daphne's hometown followed the given distribution.
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The snow falls in Daphne's hometown does not follow the given distribution.
<em>Hₐ</em>: The snow falls in Daphne's hometown followed the given distribution.
Assume that the significance level of the test is, <em>α</em> = 0.05.
The Chi-square test statistic is given by:
The value of Chi-square test statistic is computed in the Excel sheet below.
Compute the <em>p</em>-value as follows:
The <em>p</em>-value of the test is 0.0785.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
<em>p</em>-value = 0.0785 > <em>α</em> = 0.05.
The null hypothesis will not be rejected.
Conclusion:
There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.
