Question
In: Math
The Colgate company believes its toothpaste is more effective than its leading rival, Aim, in fighting...
The Colgate company believes its toothpaste is more effective than its leading rival, Aim, in fighting tooth decay. A small scale clinical trial was held with 25 patients using Colgate and 28 using Aim. The results showed that the average and variance of the number of cavities for Colgate was 10.4 and 12.82, respectively, with the results for Aim being 12.6 and 9.66. It is assumed that the population variances are the same and the distribution of the number of cavities for both groups closely approximates a normal distribution. Use an alpha of 0.01.
1. If the hypotheses are to be written in the form of the
average of Aim minus the average of Colgate, what is the direction
of the alternative hypothesis used to test Colgate's belief. Type
the letters gt (greater than), ge (greater than or equal to), lt
(less than), le(less than or equal to) or ne (not equal to) as
appropriate in the box.
2. Determine the standard error for the difference between means,
reporting your answer to three decimal places.
3. Calculate the test statistic, reporting your answer to two
decimal places.
4. Is the null hypothesis rejected for this test? Type yes or
no.
5. Regardless of your answer for 4, if the null hypothesis was
rejected, can we conclude that Colgate's belief is valid at the 1%
level of significance? Type yes or no.
Solutions
milcah answered 2 months agoRelated Solutions
The Colgate company believes its toothpaste is more effective than its leading rival, Aim, in fighting...
The Colgate company believes its toothpaste is more effective
than its leading rival, Aim, in fighting tooth decay. A small scale
clinical trial was held with 26 patients using Colgate and 22 using
Aim. The results showed that the average and variance of the number
of cavities for Colgate was 9.9 and 12.35, respectively, with the
results for Aim being 11.5 and 10.42.
It is assumed that the population variances are the same and the
distribution of the number of...
The Colgate company believes its toothpaste is more effective than its leading rival, Aim, in fighting...
The Colgate company believes its toothpaste is more effective
than its leading rival, Aim, in fighting tooth decay. A small scale
clinical trial was held with 26 patients using Colgate and 22 using
Aim. The results showed that the average and variance of the number
of cavities for Colgate was 9.9 and 12.35, respectively, with the
results for Aim being 11.5 and 10.42.
It is assumed that the population variances are the same and the
distribution of the number of...
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