One Sample T-Test

onesamplet calculates a one sample t-test and/or interval from summary statistics. It defaults to a hypothesized population mean of 0. You can optionally set an alternative hypothesis and confidence level for a two-sided confidence interval.

Usage

iscamonesamplet(
  xbar,
  sd,
  n,
  hypothesized = 0,
  alternative = NULL,
  conf.level = NULL
)

Arguments

xbar

Observed mean.

sd

Observed standard deviation.

n

Sample size.

hypothesized

Hypothesized population mean.

alternative

"less", "greater", or "two.sided"

conf.level

Confidence level.

Value

The t value, p value, and confidence interval.

Examples

iscamonesamplet(
  xbar = 2.5,
  sd = 1.2,
  n = 30,
  alternative = "greater",
  hypothesized = 2
)
#> 
#> One Sample t test
#> 
#> mean = 2.5, sd = 1.2,  sample size = 30
#> Null hypothesis       : mu = 2 
#> Alternative hypothesis: mu > 2 
#> t-statistic: 2.282 

#> p-value: 0.01499991 
iscamonesamplet(
  xbar = 10.3,
  sd = 2,
  n = 50,
  alternative = "less",
  hypothesized = 11
)
#> 
#> One Sample t test
#> 
#> mean = 10.3, sd = 2,  sample size = 50
#> Null hypothesis       : mu = 11 
#> Alternative hypothesis: mu < 11 
#> t-statistic: -2.475 

#> p-value: 0.00841815 
iscamonesamplet(
  xbar = 98.2,
  sd = 2,
  n = 100,
  alternative = "two.sided",
  conf.level = 0.95
)
#> 
#> One Sample t test
#> 
#> mean = 98.2, sd = 2,  sample size = 100
#> Null hypothesis       : mu = 0 
#> Alternative hypothesis: mu <> 0 
#> t-statistic: 491 

#> 95 % Confidence interval for mu: ( 97.80316 ,  98.59684 ) 
#> p-value: 1.824574e-169 
iscamonesamplet(xbar = 55, sd = 5, n = 40, conf.level = 0.99)
#> 
#> One Sample t test
#> 
#> mean = 55, sd = 5,  sample size = 40
#> 99 % Confidence interval for mu: ( 52.85921 ,  57.14079 )