Mathematics: According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandâbased lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively. Required: a. Develop appropriate

Question:Which is the value of the expression A. 1 B. 2 C. 8 D. 10 B. 2Step-by-step explanation:GivenRequiredEvaluateSplit FractionFrom Laws of IndicesApplying this law to the above expression, we haveAlso, from Laws of IndicesApplying this law to the above expression, we haveMultiply 10 by 1Hence,...

According to the Vivino website, the mean price for

Ответ:

bayloann2621

04.02.2022

Mathematics

The null hypothesis is $H_o : \mu = 32.48$

The alternative hypothesis is $H_a : \mu < 32.48$

t = -1.504

There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

Step-by-step explanation:

From the question we are told that

The mean price of is $\mu = \$ 32.48$

The sample size is n = 56

The sample mean is $\= x = \$30.15$

The standard deviation is $\sigma = \$12$

The null hypothesis is $H_o : \mu = 32.48$

The alternative hypothesis is $H_a : \mu < 32.48$

Generally the test statistic is mathematically represented as

$t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }$

=> $t = \frac{30.15 - 32.48 }{\frac{12 }{\sqrt{60} } }$

=> t = -1.504

Generally the p-value is mathematically represented as

p-value = P (t < -1.504 )

From the z-table

P(t < -1.504) = 0.066291

p-value = 0.066291

From the value we obtain we see that

$p -value \alpha$

Then we fail to reject the null hypothesis

Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48