averages hours of children spent in day care weekly before covid 19 have been known to be 25. a recent study indicates that in 2022 this has increased. do the data support this claim?

Suppose there is a data at hand and there is a hypothesis to be tested. Testing of hypothesis determines whether the given hypothesis can be supported with the data at hand.

Here,

Sample size = 23

Population mean = 25

Sample mean = 28.739

Sample standard deviation = 10.015

Here,

The null hypothesis [tex]H_0 : \mu = 25[/tex]

The alternative hypothesis [tex]H_a : \mu \neq25[/tex]

Here, the population standard deviation is unknown. So two tailed test is used.

Here, level of significance = 0.05

Critical value for two tailed test is 2.07

The test statistic t = [tex]\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]=\frac{28.7391 - 25}{\frac{10.0146}{\sqrt{23}}}[/tex]

= 1.79

1.79 lies between -2.07 and 2.07

So we fail to reject the null hypothesis

So it can be claimed that population mean is 25.

To learn more about testing of hypothesis, refer to the link-

brainly.com/question/15980493

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