8.3. 1. Test the claim below about the mean of the differences for a population of paired data at the level of significanceα.Assume the samples are random and dependent, and the populations are normally distributed. Claim:μd≥0;α=0.01.Sample statistics:d=−2.2,sd=1.2,n=17a. Identify the null hypothesis by writing its complement.b. The test statistic ist=(Round to two decimal places as needed.)c. The critical value(s) is(are)t0=(Round to two decimal places as needed. Use a comma to separate answers as needed.)d. Since the test statistic is(1) the rejection region,(2) the null hypothesis. There(3) statistically significant evidence to reject the claim.(1) not in in(2) reject fail to reject(3) is is not

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Description: 8.3. 1. Test the claim below about the mean of the differences for a population of paired data at the level of significanceα.Assume the samples are random and dependent, and the populations are normally distributed. Claim:μd≥0;α=0.01.Sample stati

The given sample statistics is, d¯=−2.2, sd=1.2, n=17 The null and alternative hypothesis is,

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8.3. 1. Test the claim below about the mean of the differences for a population of paired data at the level of significance

α.

Assume the samples are random and dependent, and the populations are normally distributed.

Claim:

μd≥0;

α=0.01.

Sample statistics:

d=−2.2,

sd=1.2,

n=17

a. Identify the null hypothesis by writing its complement.

b. The test statistic is

(Round to two decimal places as needed.)

c. The critical value(s) is(are)

t0=

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

d. Since the test statistic is

(1)

the rejection region,

(2)

the null hypothesis. There

(3)

statistically significant evidence to reject the claim.

(1)

not in

(2)

reject

fail to reject

(3)

is not

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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