Hat function is represented by a line with slope −2 that passes through the point (0, 4)?
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Maurine owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole wheat bagels are sold at each store each day. Shop A has total of 50 bagels in sample and 10 are whole wheat bagels. Store B has a total of 100 bagels in sample and 23 are whole wheat bagels. Shop C has 25 total bagels in sample and 7 are whole wheat bagels.
We find fraction of whole wheat bagels to the sample for each shop using given information
Shop A =
Shop B =
Shop C =
The number of whole wheat bagels for each shop that sells 500 bagels per day
Shop A =
Shop B =
Shop C =
Answer:
The test statistic t is t=2.9037.
The null hypothesis is rejected.
For a significance level of 0.05, there is enough evidence to support the alternative hypothesis.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>The sample 1, of size n1=25 has a mean of 1.15 and a standard deviation of 0.31. </em>
<em>The sample 2, of size n2=25 has a mean of 0.95 and a standard deviation of 0.15. </em>
This is a hypothesis test for the difference between populations means.
The null and alternative hypothesis are:
The significance level is α=0.05.
The difference between sample means is Md=0.2.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
This test is a two-tailed test, with 48 degrees of freedom and t=2.9037, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0056) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.