Question

Leah Peschel is the bottling department manager for a bottling company that produces various soft drinks and juices. Assuming the conditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to two decimal places?

a) Provides the correct z test statistic
b) Provides an incorrect z test statistic
c) Does not provide a z test statistic
d) Provides a value not rounded to two decimal places

Answer 1

The question is about statistics, focusing on hypothesis testing and calculating a z test statistic within the context of a normal distribution to decide whether to reject a null hypothesis.

Step-by-step explanation:

The subject of this question is Mathematics, and it pertains to the field of statistics, specifically hypothesis testing and the calculation of a z test statistic. When conducting a hypothesis test, if the conditions for the test are met, the z test statistic can be calculated using the formula z = (X - μX) / (σX / √n), where X is the sample mean, μX is the population mean under the null hypothesis, σX is the standard deviation, and n is the sample size. After obtaining the z test statistic, one would look up the corresponding p-value in the standard normal distribution. Depending on the p-value and the significance level alpha, the decision is made to either reject or do not reject the null hypothesis.