On Wednesday, Miguel's bank account balance was -$55. On Thursday, his balance was less than that. Use absolute value to describ
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Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:
At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:
The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
In this problem, the parameters are given as follows:
.
Hence, the test statistic is given by:
t = 2.23
<h3>What is the conclusion?</h3>Considering a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a <em>significance level of 0.01 and 50 - 1 = 49 df</em>, the critical value is given by .
Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
More can be learned about the t-distribution at brainly.com/question/26454209
Answer:
The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population mean, when the population standard deviation is not provided is:
The sample selected is of size, <em>n</em> = 50.
The critical value of <em>t</em> for 95% confidence level and (<em>n</em> - 1) = 49 degrees of freedom is:
*Use a <em>t</em>-table.
Compute the sample mean and sample standard deviation as follows:
Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:
Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).