Question

1. Testing a population mean - The test statistic You conduct a hypothesis test about a population mean ? with the following null and alternative hypotheses: H?: ? = 15.7 H?: ? > 15.7 Suppose that the population standard deviation has a known value of ? = 13.5. You obtain a sample of n = 89 observations, which provides a sample mean of x? = 18.1. Since the sample size large enough, you assume that the sample mean X? follows a normal distribution. Let ?? denote the hypothesized value of the population mean ? when the null hypothesis is true. Click on the blue dropdown menus that follow, and select the appropriate expressions to obtain the correct formula for the test statistic for your hypothesis test: = / When the null hypothesis is true, the test statistic for this hypothesis test follows which of the following distributions? A normal distribution with mean 15.7 and standard deviation 13.5 A normal distribution with mean 0 and standard deviation 1 A t distribution with 89 degrees of freedom A t distribution with 88 degrees of freedom The value of the test statistic is .

          1. Testing a population mean - The test statistic
You conduct a hypothesis test about a population mean ? with the following null and alternative hypotheses:
H?: ? = 15.7
H?: ? > 15.7
Suppose that the population standard deviation has a known value of ? = 13.5. You obtain a sample of n = 89 observations, which provides a sample mean of x? = 18.1.
Since the sample size ____ large enough, you ____ assume that the sample mean X? follows a normal distribution.
Let ?? denote the hypothesized value of the population mean ? when the null hypothesis is true. Click on the blue dropdown menus that follow, and select the appropriate expressions to obtain the correct formula for the test statistic for your hypothesis test:
____ = ____ / ____
When the null hypothesis is true, the test statistic for this hypothesis test follows which of the following distributions?
A normal distribution with mean 15.7 and standard deviation 13.5
A normal distribution with mean 0 and standard deviation 1
A t distribution with 89 degrees of freedom
A t distribution with 88 degrees of freedom
The value of the test statistic is ____ .

1. Testing a population mean - The test statistic
You conduct a hypothesis test about a population mean ? with the following null and alternative hypotheses:
H?: ? = 15.7
H?: ? > 15.7
Suppose that the population standard deviation has a known value of ? = 13.5. You obtain a sample of n = 89 observations, which provides a sample mean of x? = 18.1.
Since the sample size large enough, you assume that the sample mean X? follows a normal distribution.
Let ?? denote the hypothesized value of the population mean ? when the null hypothesis is true. Click on the blue dropdown menus that follow, and select the appropriate expressions to obtain the correct formula for the test statistic for your hypothesis test:
= /
When the null hypothesis is true, the test statistic for this hypothesis test follows which of the following distributions?
A normal distribution with mean 15.7 and standard deviation 13.5
A normal distribution with mean 0 and standard deviation 1
A t distribution with 89 degrees of freedom
A t distribution with 88 degrees of freedom
The value of the test statistic is .

Added by Amy H.

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