The mean balance of all checking accounts at a bank on December 31, 2005, was $900. A random sample of 53 checking accounts taken recently from this bank gave a mean balance of $841 with a standard deviation of $190. Using the 1% significance level, can you conclude that the mean balance of such accounts has decreased during this period

Step-by-step explanation:

Given that:

The population mean μ = 900

The sample size n = 53

The sample mean = 841

The standard deviation = 190

The level of significance = 0.01

To test the claim that the mean balance of the accounts has decreased during the period.

The null and the alternative hypothesis can be computed as:

This is a left-tailed test since the alternative is less than 900

The test statistics can be computed as:

Z = -2.26

The p-value = P(Z < -2.26)

From the z-tables

The p-value = 0.01191

The p-value ≅ 0.012

Decision rule: To reject the null hypothesis if the significance level is > p-value.

We failed to reject the null hypothesis.

Conclusion: Thus, there is insufficient evidence to conclude that such accounts mean balance has decreased during this period.

20335+282=20617

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic