Question

An article in Radio Engineering and Electronic Physics (1980, Vol. 25, pp. 74-79) investigated the behavior of a stochastic generator in the presence of external noise. The number of periods was measured in a sample of 100 trains for each of two different levels of noise voltage, 100 and 150 mV. For 100 mV, the mean number of periods in a train was 7.9 with 51 = 2.6. For 150 mV, the mean was 6.9 with 52 = 2.4. Use a = 0.01 and assume that each population is normally distributed and the two population variances are equal. (a) It was originally suspected that raising noise voltage would reduce mean number of periods. Do the data support this claim? Yes. (b) Calculate a confidence interval to answer the question in part (a). Mi - M2 > i i . Round your answer to three decimal places (e.g. 98.765).

Answer 1

To determine if the data supports the claim that raising noise voltage reduces the mean number of periods in a train, perform a two-sample t-test and compare the t-statistic to the critical value or p-value at a significance level of 0.01.

Step-by-step explanation:

To determine if the data supports the claim that raising noise voltage reduces the mean number of periods in a train, we need to perform a two-sample t-test for the means of independent samples. The null hypothesis is that the means are equal, and the alternative hypothesis is that the mean with 100 mV noise voltage is greater than the mean with 150 mV noise voltage.

We can calculate the t-statistic using the given data and test it against the critical value or p-value at a significance level of 0.01. If the t-statistic is greater than the critical value or the p-value is less than 0.01, we can reject the null hypothesis and conclude that the data supports the claim that raising noise voltage reduces the mean number of periods.