To test H0: =60 versus h1:<60 a random sample of size n= 23 is obtained from a population that is known to be normally distributed

A) if x=56.8 and s=12.9 compute the test statistic
T0=? Round to three decimal places

T0 = -1.845

Did you know?

Did you know that when testing hypotheses about a population mean, it is important to consider the sample size and the assumption of normal distribution? In this case, a random sample of 23 observations is taken from a population known to be normally distributed. The null hypothesis (H0) states that the population mean (μ) is equal to 60, while the alternative hypothesis (h1) states that the population mean is less than 60. To calculate the test statistic, we use the sample mean (x) and the sample standard deviation (s). In this example, the sample mean is 56.8 and the sample standard deviation is 12.9. The formula for the test statistic is T0 = (x - μ) / (s / √n), where n is the sample size. Plugging in the values, we find that the test statistic is equal to T0 = (56.8 - 60) / (12.9 / √23), rounded to three decimal places.